Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download ""

Transcript

1 FWC juk; :- 2 (206) aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mdruizald; njhz;ilkhdhw ntspf;fs epiyak; elhj;jk; Field Work Centre jtizg; gupl;ir> A+iy Term Examination, July- 205 mwptwj;jy;fs; : vy;yh tpdhf;fsf;fk; tpil juf. ckj Rl;nlz;iz tpilj;jhspy; vojf. kpfr; rupahd tpilfsf;f ckj tpilj;jhspy; Gs;sb (X),Lf.. Nfhz ce;jj;jpd; gupkhzk; gfjp - I ) MLT - 2) ML 2 T -2 3) ML 2 T - 4) ML - T - 5) ML -2 T - 2. xu fy;yhdj GtpaPu;g;gpd; fpo; epiyf;fj;jhf Nky;Nehf;fp vwpag;glfpd;wj> gpd;tuk; fzpaq;fspy; mjpaau; Gs;spapy; mtw;wpd;,af;fj;jpir Gwkhw;wkiltJ A) Ntfk; B),lg;ngu;r;rp C) Mu;KLfy; ) (A) kl;lk; 2) (C) kl;lk; 3) (A) Ak; (B) kl;lk; 4) (A) Ak; (C) kl;lk; 5) (A), (B), (C) vy;yhk; 3. xspapay; Clfj;jpd; KwpTr;Rl;b (n) cld;> xsp miyapd; miyepsk; khw;wkiltij jpwk;glf;fhl;lk; tiug ngsjpftpay; () (2) (3) (4) (5) 4. xd;nwhl xd;w njhlifapys;s xu FtpT tpy;iyiaak;> xu FopT tpy;iyiaak; rpwpa J}uj;jhy; NtWgLj;Jk; NghJ mtw;wpd; Nru;khdf; Ftpaj;J}uk;> ) FiwAk; 2) mjpfupf;fk; 3) G+r;rpakhFk; 4) KbtpypahFk; 5) khwhky;,uf;fk; 5. rkepsks;s xukid %ba Xfd; FohAk;> jpwe;j Xfd;FohAk; mbg;gilr;ruj;jpy; xj;jpirf;fg;glk; NghJ nrf;fdf;f 2 mbg;gf;fs; Nfl;fpd;wd. jpwe;j Fohapd; epsj;ij miuklq;fhf;fp> %ba Fohapd; epsj;ij,uklq;fhf;fpak; mbg;gilr;ruj;jpy; xj;jpirf;fr; nra;ag;glk; NghJ Nfl;Fk; mbg;gf;fspd; vz;zpf;if Neuk; : kzpj;jpahyk; ) 2 2) 5 3) 6 4) 7 5) 8 juk; - 2 (206) - A+iy ngsjpftpay;

2 6. xu glfhdj Mw;wpd; jpirapy; nry;yk; NghJ xu Fwpg;gpl;l J}uj;ijf; flf;f vlf;fk; Neuk; 6 kzpj;jpahyk; MfTk; Mw;wpd; jpirf;f vjpuhf glf nry;yk; NghJ mf;fwpg;gpl;l J}uj;ij flf;f vlf;fk; Neuk; 0 kzpj;jpahykhftk;,ug;gpd; mg;glfhdj epiyahd epupy; mj;j}uj;ij flf;f vlf;fk; Neuk; ) 6.5 kzpj;jpahyk; 2) 8 kzpj;jpahyk; 3) 9 kzpj;jpahyk; 4) 7.5 kzpj;jpahyk; 5) 8.5 kzpj;jpahyk; 7. Mfha tpkhdnkhd;w khwhf; fjp V,y; fpilahf gwe;j tz;zk; jpuk;gk; NghJ mjpy; jhf;fk; tpisas; tpir> gpd;tuk; vt; tpirfspd; tpisas; Mf,Uf;Fk;? (A) cau;j;jk; tpir (B) mjd; epiw (C) jil tpir ) (A) kl;lk; rup 2) (B) kl;lk; rup 3) (A), (B) kl;lk; rup 4) (A), (C) kl;lk; rup 5) (A), (B), (C) vy;yhk; 8. xu gy}dpdjk; mjd; cs;slf;fj;jpdjk; jpzpt M Mf cs;snghj gy}dhdj rpuhd Mu;KLfy; a cld; fpo; Nehf;fp,wq;FfpwJ. cs;slf;fj;jpypue;j vt;tst jpzpt tpltpf;fk; NghJ gy}dhdj mnj rpuhd Mu;KLfy; a cld; Nky; Nehf;fp,aq;Fk;. (gy}dpd; fdtst khwtpy;iy vdf; nfhs;f.) ) 2a g+a M 2) 2a g a M 3) a g+a M 4) g g+a M 5) 2g g+a M 9. 30cm,ilj;J}uj;jpy; cs;s 20cm, 0cm Ftpaj;J}uKila nky;ypa FtpT tpy;iyfspy; 20cm Ftpaj;J}uKila tpy;iyf;f Kd;dhy; 40cm J}uj;jpy; nghus; cs;sjid cu fhl;lfpd;wj.,wjp tpk;gk; Njhd;WtJ ),uz;lhtj tpy;iyf;f tyj gf;fj;jpy; 5cm J}uj;jpy; 2),uz;lhtJ tpy;iyf;f tyj gf;fj;jpy; 3.3cm J}uj;jpy; 3),uz;lhtJ tpy;iyf;f tyj gf;fj;jpy; Kbtpypapy; 4),uz;lhtJ tpy;iyf;f,lj gf;fj;jpy; 3.3cm J}uj;jpy; 5),uz;lhtJ tpy;iyf;f,lj gf;fj;jpy; 00cm J}uj;jpy; 0. 30cm miy epsks;s tpuj;jpaiyapd;> 60 0 mtj;ij tpj;jpahrj;jpy; cs;s,u Gs;spfSf;fpilapyhd,opTj;J}uk; ) 5cm 2) 0cm 3) 5cm 4) 20cm 5) 7.5cm. ghu;itf; Fiwghl;bw;F ghtpf;fg;glk; %f;ff; fz;zhb tpy;iyapdhy; cuthf;fg;glk; tpk;gk; ) cz;ikahdj> jiyfpohdj 2) cz;ikahdj> epkpu;e;jj 3) khakhdj> jiyfpohdj 4) khakhdj> epkpu;e;jj 5) Fiwghl;il nghwj;jj 2. xu ypw;wu; FLitahdJ rpwpjst,urj;ij nfhz;ls;sj. FLitapy; cs;s tspapd; fdtst ntg;gepiy khw;wj;jld; khwhj,uf;f fhzg;gl;lj. fz;zhbapd; eps tpupifjpwd; 9 x 0-6 / C, MfTk;,urj;jpd; Kg;gupkhz tpupifjpwd;.8 x 0-4 / C) MfTk;,Ug;gpd;> FLitapYs;s,urj;jpd; fdtst ) 20 cm 3 2) 50 cm 3 3) 225 cm 3 4) 300 cm 3 5) 450 cm 3 juk; - 2 (206) - A+iy ngsjpftpay;

3 3. xypaiyfs; Kidthf;fkila khl;lhj. Vnddpy;,it ) nghwpkiw miyfs; 2) nry;tjw;f Clfk; Njit 3) eps;gf;f miyfs; 4) FWf;fiyfs; 5) Fiwe;j NtfKilaJ 4.,U Jzpf;iffSf;F,ilapyhd kps;jd;ik NkhJifapd; NghJ fhg;giltj ) xt;nthu Jzpf;iffspd; ce;jk; 2) xt;nthu Jzpf;iffspd; fjp 3) xt;nthu Jzpf;iffspd;,af;f rf;jp 4),U Jzpf;iffspd; nkhj;j rf;jp 5),U Jzpf;iffspd; nkhj;j,af;f rf;jp 5. A, B vd;dk;,u Fw;wpfs; cutpy; fhl;baj Nghy; moj;jkhd fpilg;gug;gpd; kpj itf;fg;gl;l tpirkhwpyp 00Nm -, cila,nyrhd tpw;ruspdhy;,izj;j> Fw;wp B,d; kpj 2N fpiltpiria gpunahfpf;fk; NghJ,U Fw;wpfSk; rk fjpfsld;,aq;fnkdpd;> tpw;ruspy; Nrkpf;fg;gLk; rf;jp ) 48x0-2 J 2) 6x0-2 J 3) 8x0-2 J 4) 4x0-2 J 5) 0 6. M jpzptila xu Jzpf;ifahdJ X - mr;r topna V vd;dk; fjpald;,aq;fp> Xa;tpYs;s 2m jpzptila,uz;lhtj Jzpf;ifAld; NkhJfpd;wJ. Nkhjypd; gpd; KjyhtJ Jzpf;if Xa;Tf;F tu>,uz;lhtj Jzpf;if,U rk jpzpts;s Jz;Lfshf cile;j X mr;rld; rknfhzk; θ > 0 mikj;j cutpy; fhl;bathw,aq;ffpd;wj. gpd;tuk; $w;wf;fspy; cile;j Jz;Lfspd; Ntfk; gw;wp rupahff; Fwpg;gpLtJ ) xt;nthu Jz;Lk; fjp v cld;,aq;fk; 2) xu Jz;L fjp v cldk;> kw;iwa Jz;L v I tpl Fiwe;j fjpald;,aq;fk; 3) xt;nthu Jz;Lk; fjp v/2 cld;,aq;fk; 4) xu Jz;L fjp v/2 cldk;> kw;iwa Jz;L v/2 I tpl $ba fjpald;,aq;fk; 5) xt;nthu Jz;Lk; v/2 I tpl $ba fjpald;,aq;fk; 7. jpurpakhdpapd; nrg;gq;nra;if gw;wpa gpd;tuk; $w;wf;fspy; rupahdj / rupahdit A) rkhe;ju fjpu;fis ngwj;jf;fjhf njhiyfhl;b nrg;gq;nra;ag;glk; B) rkhe;ju fjpu;fis ntspnaw;wj;jf;fjhf Neu;tupirahf;fp nrg;gq;nra;ag;glk; C) njhiyfhl;bapd; Row;wp mr;rf;f rkhe;jukhf mupaj;jpd; KwpT Xuq;fs;,Uf;fj;jf;fjhf mupankir kl;lq;nra;ag;glk; ) (A) kl;lk; rup 2) (B) kl;lk; rup 3) (A), (B) kl;lk; rup 4) (A), (C) kl;lk; rup 5) (A), (B), (C) vy;yhk; rup Nkhjypd; Kd; Nkhjypd; gpd; juk; - 2 (206) - A+iy ngsjpftpay;

4 8. nrtpg;giwapd; FWf;Fntl;Lg; gug;g 2mm 2 MfTs;s egu; xutupd; xypr;nrwptkl;l mjpu;ntz; tiug fpno fhl;lg;gl;ls;sj.,e;egu; 00 Hz mjpu;ntz; xypia Nfl;Fk; NghJ nrtpg;giwapy; glk; xypapd; ty ) 2 x0-2 W 2) 2 x0-2 W 3) 6 x0-2 W 4) 2 x0-6 W 5) 6 x0-2 W 9. Xu; clypy; jhf;fk; khwhtpir F,d; $Wfs; F x = 3N, F y = 4N tiugpy; fhl;lg;gl;ls;sj. mt; clyhdj Gs;sp P (x = 2m,y = 6m),y;,Ue;J Gs;sp Q (x = 4m, y = m),w;f mirak; vdpd; mt;tpirapdhy; cly;kpj nra;ag;gl;l Ntiy ) 6J 2) 30J 3) 46J 4) 56J 5) 65J ) G+r;rpak; 2) KOikahf,af;fr;rf;jp 3) KOikahf kps;jd;ik moj;jrf;jp Intensity level/db ) gfjpahd,af;frf;jpak;> gfjpahd kps;jd;ik moj;j rf;jpak; 5) rup miu gq;f,af;frf;jpak;> kpfjp miugq;f moj;jrf;jp Frequency/Hz Nthy;w;khdpnahd;wpdJ fhl;bapd; jpuk;giy cu fhl;lfpd;wj. fhl;bapd; thrpg;igak;> cau; kjpg;gpl;l toitak; KiwNa rupahf Fwpg;gpLtJ ) 2.0V, 0.2V 2).9V, 0.2V 3) 2.0V, 0.V 4).9V, 0.V 5).8V, 0.V juk; - 2 (206) - A+iy ngsjpftpay; y F y P F x Q vjpu; jpirapy; 4cms - fjpald;,aq;fk;,u ru;trkkhd Jbg;Gf;fs; Kjypy; 6cm,ilj;J}uj;jpy; cs;sij cu fhl;lfpd;wj. 2s Neuj;jpd; gpd;du; Jbg;Gf;fspd; nkhj;j rf;jp x

5 22. miw ntg;gepiyapys;s A, B vd;dk; cnyhfnfhy;fs; xd;whf ntg;gg;glj;jg;glfpd;wd. mtw;wpd; mjpfupf;fk; ntg;gepiy Δl A Δθ,w;Fk; tpupt Δl,w;Fkpilapyhd khw;wj;ij tiug fhl;lfpd;wj. A, B cnyhf Nfhy;fs; gw;wpa gpd;tuk; $w;wf;fis fujf. B (A) A,d; eps tpupif jpwd;> B I tpl $lthfk; (B) A,d; epsk; B I tpl $LjyhFk; (C),U Nfhy;fspdJk; epstpupifjpwd; X Muk;g epsk; nguf;fk;,u Nfhy;fSf;Fk; rkk; vdpd;,u tiugfsk; xd;nwhl xd;w nghue;jk;,f;$w;wf;fspy; ) (A) kl;lk; rup 2) (C) kl;lk; rup 3) (A), (B) kl;lk; rup 4) (A), (C) kl;lk; rup 5) (A), (B) (C) vy;yhk; rup V khwh fjpald;> khwh mjpu;ntz; f o,y; xypia vog;gpathw AB topna,aq;fk; Kjy; xd;iw cu fhl;lfpd;wj. xyp miyapd; Ntfk; V MFk;. epiyahd mtjhdp O AB,,y;,Ue;J rw;w tpyfp cutpy; fhl;baj Nghy;,Ug;gpd; mtjhdpahy; czug;glk; Njhw;w mjpu;ntz; f,d; khwiy rpwe;j Kiwapy; fhl;ltj f f A O B () (2) (3) f A O B (4) (5) f A O B A 0 O A O B A O B f B Δθ juk; - 2 (206) - A+iy ngsjpftpay;

6 24. M jpzptila gpshj;jpf;f jpz;kkhdj mjd; cs;ns nghs;ntspia nfhz;ls;sj.,jid epupy; kpjf;fr; nra;j NghJ mjd; fdtstpy; miugq;f epupy; mkpo;e;j kpjg;gij cu fhl;lfpd;wj. epupdjk;> gpshj;jpf;fpdjk; mlu;j;jpfs; KiwNa d, ρ MFk;. nghs;ntspapd; fdtst 25. ) m( 2 ) d ρ 2) m( 2 ) ρ d 3) m( 2 ) d ρ 4) m( 2d ρ 5) 2m( ) d ρ v cutpy; fhl;lg;gl;lthw v vd;dk; Muk;g fpil Ntfj;Jld; fulhd fpilj;jsk; topna eothky; cus tplg;gl;l rpy;yhdj rpy Row;rpfis Mw;wp Xa;tpw;F tufpd;wj. Neuk; (t) cld; Gtp njhlu;ghfr; rpy;ypd; Rw;wstpd; kpj cs;s Gs;sp X,d; Ntfk; (v ),d; gukdpd; khwiyg; gpd;tuk; tiugfspy; vj kpfr; rpwe;j tpjj;jpy; tiff;fwpf;fpd;wj? (t = 0,y; Gs;sp X rpy;ypd; mjpaau; Gs;spapy; cs;sj) t t () (2) (3) v v v X v t 0 0 t (4) t (5) juk; - 2 (206) - A+iy ngsjpftpay;

7 FWC juk; :- 2 (206) aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mdruizald; njhz;ilkhdhw ntspf;fs epiyak; elhj;jk; Field Work Centre jtizg; gupl;ir> a+iy Term Examination, July gfjp II (A) mikg;gf; fl;liu tpdhf;fs; ehd;f tpdhf;fsf;fk;,j;jhspnyna tpil vojf. g = 0Nkg -. jpug;gf;nfhl;ghl;il cgnahfpj;j fz;zhbapd; mlu;j;jpiaj; Jzptjw;fhf gpd;tuk; cug;gbfs; ckf;f jug;gl;ls;sd. 4cm gf;f epsk; nfhz;l fz;zhb rjukfp Fw;wp>,jd; jpzpt fpl;lj;jl;l 60g (M) 20g, 50g, 00g epiwg;gbfs; (M) kpw;wu;nfhy;> Ez;khdpj; jpuf;fzpr;rp> Ntzpau;,Lf;fpkhdp fj;jptpspk;g> E}y;Jz;Lfs; epu; nfhz;l Kfit> jputj;ij nfhz;l Kfit (a) (i) rjukfpapd; gf;f epsk; (a) I %,,Yk; $ba nrk;ikald; msg;gjw;fj; jug;gl;l mstpl;l cgfuzq;fspy; vjidg; gad;glj;jtpu;? (ii) kw;iwa,u mstpl;l cgfuzq;fis njupt nra;ahjjw;fhd fhuzk; ahj? (b) (i) fj;jp tpspk;gpy; rkepiyg;glj;jg;gl;l kpw;wu;nfhiy cgnahfpj;j M I fhz;gjw;fhd ngaupl;l tupg;glj;ij tiuf. M, m vd;gd fj;jp tpspk;gpy;,ue;j l, l J}uq;fspy; cs;sd. ngsjpftpay; (ii) kpw;wu; Nfhypd; GtpaPu;g;G ikaj;ij vt;thw fhz;gpu;? (iii) kpw;wu;nfhiy mjd; GtpaPu;g;G ikaj;jpy; rkepiyg;glj;jtjpy; cs;s md$yk; ahj? juk; - 2 (206) - A+iy ngsjpftpay; - (A)

8 (c) (i) NkNy jug;gl;l epiwg;gbfspy; vj,g;gupnrhjidia nra;a cfe;jjhfk;> ckj njuptpw;fhd fhuzk; epiw :... fhuzk;:... (ii) M,w;fhd Nfhitia m, l, l rhu;gpy; vojf... (d) (i) kpw;wu;nfhypd; fz;zhb rjukfpapd; epiyia khw;whj fz;zhbapd; mlu;j;jpia ( d g) Jzptjw;fhd gupnrhjidg; gbfisf; Fwpg;gpLf. (ii) epu; mstplk; mstpl ahj? l 2 vdf; nfhs;f. (e) fz;zhbapd; mlu;j;jp ( d g ),,w;fhd Nfhitia epupd; mlu;j;jp ( d w), l 2, l (my;yj l ) rhu;gpy; ngwf. (f) khztd; xutd;,g;gupnrhjidapd; l = 4cm, l = 49cm, l 2 = 35cm, vd ngw;whd;> epu;> jputj;jpd; mlu;j;jpfs; KiwNa 000 kgm -3, 900kgm -3 vdpd; fz;zhbapd; mlu;j;jpiaf; fhz;f. 2.,irftnuhd;wpd; mjpu;ntz;iz mwpa> khztd; xutd; Rukhdpg; gupnrhjidia xoq;f nra;fpd;whd;. (a) (i) mtd; gupitg; ngw mjpuk;,irf;ftiu vq;nf itf;f Ntz;Lk;? (ii) mjpuk;,ioapy; Njhd;Wk; miy tpuj;jpaiyah / epiyahd miyah> FWf;fiyah / eps;gf;f miyah? juk; - 2 (206) - A+iy ngsjpftpay; - (A)

9 (iii) ghyq;fsf;f,ilapy; mjpuk;,ioapd; tpr;rk; mjd; epsj;jld; khwtij fhl;lk; tiuig tiuf. (mbg;gil> Kjyhk; Nkw;nwhdpia fujf> mbg;gil gupt epsk; l0 vdf; nfhs;f.) (b) mbg;gil gupt epsj;ijg; ngwtjw;fhd nra;kiw gbfis juf. (c) khztd; mse;j mbg;gilg; gupt epsk; (l o) MfTk; Rukhdpf; fk;gpapys;s,otpir (T) MfTk; fk;gpapd; myf epsj;jpzpt (m) MfTk;,Ug;gpd; mbg;gil gupt mjpu;ntz;zpw;fhd Nfhitia l o, T, M,d; rhu;gpy; vojf. (d) jw;nghj khztd;,g;gupnrhjidia Nru;j;jp cuf;ff; fk;gp AB, BC cld; xoq;f nra;jhd;. A, C ghyq;fis njhlk; Gs;spahfTk;> AB:BC = 3:2 MfTk; AB,d; tpl;lk; BC I Nghy;,Uklq;FilajhfTk; cs;s NghJ mnj,irftupw;f,u fk;gpfspyk; gupt epiy ngwg;glfpd;wj. mj;jld; B,y; fz Njhd;Wfpd;wJ. (i) 0 AB, BC,y; gupt epiyapy; Njhd;Wk; jlq;fspd; vz;zpf;if KiwNa n,n 2,w;fhd Nfhitfis vojp n n2 tpfpjj;ijf; fhz;f. (ii),u fk;gpfspyk; Njhd;Wk; jlq;fspd;,opt vz;zpf;ifiaf; fhz;f. AB:.. BC:.. (iii) AC = m vdpd; fk;gp BC,y; Njhd;Wk; cau; miyepsk; ahj? (e) fk;gp BC,d; myf epsj;jpzpt x 0-3 kgm - MfTk;,ioapYs;s,Otpir 40N MfTk;,Ug;gpd;,irftupd; mjpu;ntz;izf; fhz;f. juk; - 2 (206) - A+iy ngsjpftpay; - (A)

10 3. (a) A, B vd;dk;,u tpy;iyfisg; glk; fhl;lfpd;wj. (ii) gfjp (a) (i),y; ckj njuptpw;fhd fhuzj;ij tpy;iyapd; Ftpaj;J}uk; rhu;ghf tpsf;ff. (b) tpy;iyfs; A, B,d; Ftpa epsq;fs; KiwNa f A, f B MFk;.,t; tpy;iyfisg; (ii) (iii) (c) ` (i) (ii) (i),tw;iwf; nfhz;l thdpay; njhiyfhl;b xd;iw mikf;f Ntz;Lk;. nghuspahftk;> ghu;itj;jz;lhftk; vt;tpy;iyfisg; gad;glj;jtpu;? nghusp ghu;itj;jz;l gad;glj;jp J}ug;nghUspd; tpk;gj;ij Nehf;fj;jf;fjhd thdpay; njhiyfhl;b,ay;ghd nrg;gq; nra;ifapy; xoq;f nra;ag;gl;lj. (i) J}ug;nghUs; nghuspapd;,lg;gf;fj;jpy; cs;snjdf; fujp> tpy;iyfspd; epiyfis njspthff; fhl;bg; ngauplf. tpy;iyfsf;fpilg;gl;l J}uj;ijf; Fwpg;gpLf. ghu;itj;jz;bypue;j> vt;tst J}uj;jpy;,Wjp tpk;gk; Njhd;Wk; NkNy $wg;gl;l nrg;gq;nra;if epiyf;f Nfhzg; ngupjhf;fj;jpw;fhd Nfhitia vojf. nghuspia xspu;thf;fp ghu;itj;jz;lhy; Vw;gLj;jg;gLk; nghuspapd; tpk;gj;ij xu jpiuapy; ngw;w mjd; tpl;lk; (d) nghuspapd; tpl;lk; (D) msf;fg;gl;lj. NkNy $wg;gl;l nrg;gq;nra;ifapy;> Nfhzg;ngupjhf;fj;jpw;fhd Nfhitia d, D rhu;gpy; vojf.,t; tpk;gj;jpd; Kf;fpaj;Jtk; gw;wp ahj $WtPu;? A B juk; - 2 (206) - A+iy ngsjpftpay; - (A)

11 (d) tpy;iyfsf;fpilg;gl;l J}uk; (x) khw;wg;gl;l mjw;f xj;j tpk;gj;jpd; tpl;lk; (d) msf;fg;gl;lj. 4. x,w;fk; d,w;fk;,ilapyhd njhlu;ig vojf. (e) /d vjpu; x tiugpd; gukl;lhd tbtj;ij tiuf. (f),t; tiugpd; x mr;rpys;s ntl;lj;jz;bd; kl;lg;ngwkhdk; vijj; juk;? l,wff; Fohiag; gad;glj;jp tspkz;ly mkf;fj;ij Jzptjw;fhd gupnrhjid xoq;fikg;ig cu fhl;lfpd;wj.,jpy; xu Kid %lg;gl;l,wff; FohapDs; tsp epunyhd;w,ur,ioapdhy; milf;fg;gl;l Foha; rha;thf itf;fg;gl;ls;sj. (a),ur epuiy,wff; FohapDs; vt;thw cl;gfj;jtpu;? L (b) cutpy; fhl;lg;gl;l Fohapd; rha;thd epiyapy; milgl;l tspapd; fdtst (V) mkf;fk; (P),w;fhd Nfhitfis vojf. tspkz;ly mkf;fk; π cm Hg,wFf; Fohapd; FWf;Fntl;Lg; gug;g (a) vdtk; nfhs;f. h juk; - 2 (206) - A+iy ngsjpftpay; - (A) H

12 (g) (c),g;gupnrhjidia Nkw;nfhs;s epu; vlf;fk; thrpg;gf;fs; ahit? (d) P, V,w;F gfjp (b),,y; vojpa Nfhitfisg; gad;glj;jp P, V,w;F,ilapyhd njhlu;ig vojf. njhlu;gpys;s Nkyjpf fzpaq;fis,dk; fhz;f. (e) NkYs;s Nfhitia Neu;Nfhl;L tiugpw;f Vw;g kpnshoq;fglj;jf. (rhuhkhwpia x mr;rpy; Fwpf;f. (f) vjpu;ghu;f;fg;glk; tiuig gukl;lhf tiuf. mr;rf;fis njspthfg; ngauplf. khztd; xutd; π,,d; ngwkjpia fhz;gjw;fhf NkYs;s tiuig tiue;j tiugpd; gbj;jpwd;.64 x 0-4 cm - (Cm Hg) -. vdtk; ntl;lj;jz;l 0.05 cm - vdtk; mwpe;jhd;. (i) h= 0cm, L= 40cm and.64 vdpd; π,dj ngwkjpiaf; fhz;f (ii) Foha; fpilahf itf;fg;glk; NghJ> FohapDs; milgl;l tsp epuypd; epsk; ahj? (iii) (iv) FWfpa,ur epuiyg; gad;glj;jp,g;gupnrhjidia ntw;wpfukhf nra;a KbAkh? ckj tpilia tpsf;ff. l,w;f vjpuhd H,d; gukl;lhd tiuig ( - L H +L ) vd;dk; tpr;rpy; tiuf. juk; - 2 (206) - A+iy ngsjpftpay; - (A)

13 FWC ) juk; :- 2 (206) aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mdruizald; njhz;ilkhdhw ntspf;fs epiyak; elhj;jk; Field Work Centre jtizg; gupl;ir> A+iy Term Examination, July gfjp II (B) VjhtJ,U tpdhf;fsf;f kl;lk; tpil juf. mr;r jiyikkryj;jpd; FWf;F ntl;lg; gug;g JizKryj;jpd; FWf;F ntl;lg;gug;g jlg;gf;fk;gp jputk; (jlg;gj; jz;l) RoYk; jlg;gj;jl;l xl;bdupd; ifapdhy; toq;fg;glk; tpir ngsjpftpay; kiynawf;$ba irf;fps; xd;wpd; epupay; jlg;gj; njhfjpia cu fhl;lfpd;wj.,j #oyk; jlg;g jl;il epw;ghl;lj;jf;fjhfk;. Gs;sp B,y; jlg;g fk;gp (Brake lever) kpj mjw;f nrq;fj;jhf F b vd;dk; tpiria gpunahfpg;gjd; %yk;,j eilkiwg;glj;jg;glk;. jlg;gf; fk;gpahdj (Brake lever) O,D}lhf jhspw;f nrq;fj;jhf nry;yk; mr;rg;gw;wp RahjPdkhf Rod;W jiyik Kryj;jpd; (Master piston) kpj F vd;dk; tpiria nrq;fj;jhf gpunahfpf;fpd;wj.,jd; tpisthf cz;lhfk; mkf;fk; jlg;g jputj;jpd; ;(brake liquid) %yk;,u ru;trkkhd Jiz Kryq;fSf;F CL flj;jg;glfpd;wj. mg;nghj juk; - 2 (206) - A+iy ngsjpftpay;

14 mk;kryq;fsld;,izf;fg;gl;l jlg;g jpz;lfs; (brake pads) rpwpj J}uk; efu;e;j RoYk; jlg;gj; jl;bd;,u gf;fq;fpd; kpjk; nrq;fj;jhf moj;jfpd;wd. jiyik> Jiz Kryq;fspdJ FWf;F ntl;lg; gug;gst KiwNa 5.6 x0-5 m 2, 4.4 x 0-5 m 2 MFk;. (a) thaf;fsf;f gh];fypd; jj;jtj;ij gpunahfpf;fyhk;> Mdhy; epupay; cau;j;jpfspy; nraw;ghl;l gha;kkhf thaf;fisg; gad;glj;j KbahJ.,jw;fhd fhzj;ij tpsf;ff. (b) jputj;jpd; ve;j,ay;g mjid epupay; jlg;gf;fspy; rpwg;ghf njhopw;gl cjtfpd;wj? (c) irf;fps; Xl;bdu; jdj ifapdhy; jlg;gf;fk;gpia (Brake lever),of;fk;nghj jiyikkryj;jpdhy; (Master pistion) jputj;jpd; kpj gpunahfpf;fg;glk; mkf;fk;.5 x 0 6 Pa vdpd;> jiyik Kryj;jpdhy; jputj;jpd; kpj gpunahfpfg;glk; tpir F If; fhz;f. (d) (i) jlg;gf; fk;gpapys;s Gs;sp A,y; njhopw;glk; tpir F a,d; jpiria njspthf Fwpj;J F, F a,w;f,ilapyhd njhlu;ig vojf. (ii) F b,d; gukidf; fhz;f. (Njitahd J}uq;fs; cutpy; fhl;lg;gl;ls;sd. F, F b,w;f,ilg;gl;l nrq;fj;jj;j}uk; 8cm) (e) (i) jputj;jpdhy; Jiz Kryj;jpd; kpj cqw;wg;glk; mkf;fk; ahj? (ii) Jiz Kryj;jpd; (Slave pistion) kpj gpunahfpf;fg;glk; tpiriaf; fhz;f. (f) jlg;gj; jpz;lfsf;fk;> (brake pads) jlg;g jl;bw;fk; (Brake disc),ilapyhd cuha;tf;fzfk; 0.5 vdpd; jlg;gj; jl;bd; kpj jlg;g jpz;lfs; moj;jk; NghJ xt;nthu jpz;bd; (pads) tpisthftk; jl;bd; kpj jhf;f cuha;t tpiriaf; fhz;f. (g) rpy;yk; mjdld;,ize;j #oyk; jlg;gj;jl;lk; (spinning Brake disc) xnu mr;rpy; #oy;fpd;wd. jlg;gj; jpz;bw;fk;> RoYk; jlg;g jl;bd; mr;rpw;fk;,ilapyhd J}uk; 6cm. rpy;ypdjk;> jlg;gj;jl;bdjk; RoYk; mr;rg;gw;wpa rlj;jt jpug;gk; 0.2 kgm 2, MFk;. jlg;ig gpunahfpf;fk; NghJ rpy;yhdj sec,y; Xa;tpw;F tufpwj. (i) jlg;ig gpunahfpf;fk; NghJ RoYk; jl;by; gpunahfpf;fg;glk; cuha;t KWf;fj;ij fhz;f. (,af;fk; KOtJk; cuha;t tpir khwhky; cs;sj vdf; nfhs;f) (ii) jlg;g gpunahfpf;f Kd; rpy;ypd; Nfhzf;fjp ahj? (iii) jlg;g gpunahfpf;fg;gl;l gpd; vj;jid Row;rpfspd; gpd; rpy;y Xa;tpw;F tuk; (π = 3 vdf; nfhs;f) (iv) Xa;tpw;F tukd; Vw;gLj;jg;gLk; rpy;ypd; Row;rpfspd; vz;zpf;ifia Fiwf;f rpy;ypy; epu; vd;d khw;wj;ijr; nra;tpu;? 2) gpd;tuk; ge;jpia thrpj;j fpno Nfl;fg;gl;Ls;s tpdhf;fsf;f tpil vojf. rhjhuz kdpj fhjpdhy; 20 khz,w;fk; mjpfsthd mjpu;ntz;izf; nfhz;l xyp miyfisf; Nfl;f Kbtjpy;iy.,it fopxyp miyfs; vd miof;fg;glk;. etpd njhopw;jiwapy; nghul;fspy; cs;s FiwghLfis fz;lwpa fopxyp gad;glj;jg;glfpd;wj. fopnahyp mir gpupjy; (Ultra sound Scanning) cgfuzj;jpd; Kf;fpa $whf mkf;fkpd; %ynghuspd; tl;l tbt jl;l fhzg;glfpd;wj.,j;jl;bw;f FWf;Nf MlNyhl;l Nthy;w;wsit gpunahfpg;gjd; %yk; mjid type;j mjpuptpw;f cl;glj;jg;glfpd;wj. nghjthf MlNyhl;l kpd;kjypd; mjpu;ntz; MdJ jl;l cau; tpr;rj;jld; mjpuk; tiu nrg;gq; nra;ag;gltjd; %yk; rf;jp kpf;f fopnahypfs; gpwg;gpf;fg;glfpd;wd.,it juk; - 2 (206) - A+iy ngsjpftpay;

15 Jbg;gpd; tpr;rk; nghul;fspd}lhf nry;yk; NghJ mtw;wpd; xyp miyapd;,af;fj;ij vjpu;f;fk; Mw;wy; mt; clfj;jpw;fupa xypmiyj;jil (acoustic impedence) (Z) vd miof;fg;glfpd;wj. Z = ρc MFk;.,q;F Z Clfj;jpw;Fupa xypmiyj;jil> p - Clfj;jpd; mlu;j;jp> c Clfj;jpy; fop xypapd; Ntfk; fopnahyp miyfs; ntt;ntw Clf,ilKfq;fspy;> vy;iyfspy; gfjpahf njwpg;gilfpd;wj. tspapdj xyp miyj;jil kpf Fiwthjyhy; tsp Clf,ilKfj;jpy; xypj;njwpg;g cau;thf fhzg;glk;. fopnahypia gad;glj;jpg; nghul;fis Ma;T nra;akd; nghuspd; Nkw;gug;gpy;,izf;Fk; vz;nza; giria (Couping gel) G+rpa gpd;dnu fopnahypis gpwg;gpf;fk; cgfuzj;ij khwflj;jpia mjd; Nky; itf;f Ntz;Lk;.,jdhy; mjpfst fopnahypapd; rf;jp Ma;Tf;Fl;gLj;jg;gLk; nghuspds; nry;yk;. Clf,ilKfj;jpy; xyp njwpg;gf; Fzfk; R gpd;tukhw jug;glk;.,q;f Z - Clfk;,d; xypmiyj;jil Z 2 Clfk; 2,d; xyp miyj;jil R = [ Neuk; : [ Z2 Z] [ Z + Z2] ]2 Transducer jd;dfj;nj FiwghLfis nfhz;l nghus; kpj khw flj;jpahdj (Transducer probe) fopnahyp Jbg;Gf;fis nryj;jp ntt;ntw Clf,ilKfq;fSf;F nrd;w kpsj;njwpg;gile;j> kpz;lk; khwflj;jpia mile;j Neuj;ij fzpg;gjw;fhd gjptfs; fnjhl;lf;fjpu; mitt fhl;bapy; fhl;rpg;glj;jg;gl;ls;sij cu fhl;lfpd;wj. NtW Ma;T KiwfSld; xg;gplk; NghJ> fopnahyp Ma;T KiwahdJ nghuis (Clfj;ij) ghjpf;fhj> jpq;fw;wj> tpidj;jpwd; $baj> Neuj;ij kpr;rg;glj;jf; $bajhfk;. (a) (i) fopxypapd; mjpu;ntz; ahj? (ii) ve;j epge;jidapd; fpo; mkf;fkpd;jl;l (Piezoeleectric dise) cau; tpr;rjld; mjpuk;? (iii) khwflj;jpapd; (transducer probe) njhopw;ghl ahj? juk; - 2 (206) - A+iy ngsjpftpay; Gel probe Jbg;Gfis gpwg;gpf;fk; cs;thq;fk; generate khwflj;jp and receive C Material B,izf;Fk; vz;nza; gir A under Ma;Tf;F cl;glj;jg;glk; nghus;

16 (b) (i) Clfk; xd;wpd; xypmiy jilia (acoustic impedance) jpu;khdpf;fk; fhuzpfs; vit? (ii) tspahdj Vd;,opT xyp miyj;jiliaf; (acoustic impedana) nfhz;lj? (iii) xypmiy jilapd; (acoustic impedance) S.I myif Fwpg;gpLf. (mbg;gil myfj; njhfjpapy; Fwpg;gpLf) (c) (i) khwflj;jpia nghuspd; Nkw;gug;gpd; kpj itg;gjw;f Kd;,izf;Fk; vz;nza; giria Nkw;gug;gpd; kpj G+RtJ Vd; mtrpakhdj? (ii) tsp,ilkfk;,d;wp Kidf;F Kid xd;wld; xd;w,izf;fg;gl;l nts;sp> nghd; Nru;j;jpr; rl;lj;jpy; nts;sp nghd;,ilkf xypj;njwpg;gf;fzfk; (R) If; fhz;f. nts;sp> nghd;; mlu;j;jpfs; KiwNa 0, 000 kgm -3, 20, 000 kgm -3, nts;sp> nghd;dpy; fopxypapd; Ntfq;fs; KiwNa 4, 000 ms -, 3, 000 ms - MFk;. (d) fnjhl;l fjpu; miytfhl;bapd; fhl;rpg;glj;jypy; gy Jbg;Gfs; fhzg;gltj Vd; vd tpsf;ff. (e) NkNy fhl;lg;gl;l fhl;rpg;glj;jy; jpiuapd; xt;nthu nrd;upkpw;wuk; (xt;nthu gpuptk;) 0. kpy;yp nrf;fd;fis Fwpg;gNjhL xt;nthu gpuptk; ehd;f rkgpuptfshf gpupf;fg;gl;ls;sd. (cuit ghu;f;f) cutpy; IP vd;gj Muk;gj;Jbg;igAk;> BW vd;gj (Clfj;jpd;) nghuspd; vy;iy,ilkfj;jpy; njwpg;gile;j Jbg;igAk; Fwpf;fpd;wd.,t; Clfj;jpy; fopxypapd; fjp 3000ms - MFk;. (i) Muk;gj;Jbg;G (IP) vt;thw jpiuapy; Njhd;wpanjd tpsf;ff. (ii) fopxyp Clfj;jpd; Kd;Rtupy;,Ue;J gpd;rtu; tiu nry;y vlj;j nkhj;j Neuk; ahj? (iii) Ma;Tf;F cl;glj;jg;gl;l Clfj;jpd;> epsk; ahj? (iv) A, B FiwghLfSf;F,ilg;gl;l fpilj;j}uj;ijf; fhz;f. (f) (i) fopnahypia gad;glj;jp nghus;fis Ma;Tf;F cl;glj;jypy; cs;s,u md$yq;fisf; $Wf. (ii) Nkw;$wg;gl;l Ma;tpw;F kpd;fhe;j miyfs; gad;glj;jtjpy; cs;s,lu;ghl ahj? 3) fz;zpypue;j NtWgl;l J}uq;fspy; cs;s nghul;fspd; njspthd tpk;gq;fis tpopj;jpiuapy; tpor;nra;af; $ba jpwid fz; nfhz;ls;sj. cz;ikapy; tpopntz;glyj;jpdjk; fz;tpy;iyapdjk; Nru;khdNk tpk;gj;ij cuthf;ffpd;wj. tpopntz;glykhdj CLfhl;Lk; Xu; ad;dy; Mf,Ug;gJld;> tsp rhu;ghf cau; KwpTr;Rl;b cilajhftk; cs;sj.,jid epiyj;j Ftpaj;J}uj;ij nfhz;l FtpT tpy;iyahf fujyhk;. mnj Ntis fz;tpy;iyapd; Ftpaj;J}uj;ij gprpu; jirfspd; cjtpapdhy; khw;wyhk;.,t;tpist jd;dikt vd miof;fg;glk;. tpopj;jpiuapy; Njhd;Wk;,U tpk;gq;fis NtWgpupj;jwpa tpopj;jpiuapy; mtw;wpw;f,ilg;gl;l J}uk; Mff; Fiwe;jJ 50 μm Mf,Uj;jy; Ntz;Lk;. (a) (i) fz;zpd; vg;gfjpapy; xspf;fjpu; mjpf tpyfyf;f cl;glfpd;wj? fhuzk; juf. (ii) jd;dikt vd;why; vd;d? juk; - 2 (206) - A+iy ngsjpftpay;

17 (b) tpopntz;glyj;jpdjk;> rhjhuz (gprpu;jirfs; jsu;e;jepiy) epiyapys;s fz; tpy;iyapdj nkhj;j ty + 50 D (ijnahj;ju;) (i) fz;tpy;iyf;fk; tpopj;jpiuf;fk;,ilg;gl;l J}uk; ahj? (ii) fz;zpypue;j 25cm J}uj;jpYs;s nghul;fis njspthf Nehf;fj; Njitahd,t; tpy;iyj;njhfjpapd; ty ahj? (c) (iii) (iv) tpopntz;lyj;jpd; ty + 44 D vdpd; (b) (ii),y; Fwpg;gpl;l epiyapy; fz;tpy;iyapd; Ftpa epsj;ijf; fzpf;f. gpd;tuk; epiyfsf;f fz;tpy;iyapd; tbtj;ij tiuf. fz;jsu;e;j epiyapy; cs;s NghJ fz; G+uz jd;ikald; cs;s NghJ FWk;ghu;itAila egupd; Nra;ikg; Gs;sp 250 cm mz;ikg;gs;sp 5 cm MFk;. (i) rhjhuz fz;zpd; Nra;ikg; Gs;spf;Fk;> FiwghLila fz;zpd; Nra;ikg; Gs;spf;Fk; xspf;fjpu; glk; tiuf. (ii),e;egu; J}ug;nghUis njspthf ghu;g;gjw;f mzpa Ntz;ba %f;ff; (iii) (iv) (v) fz;zhbapd; tyitf; fzpf;ff.,e;egu;,k; %f;ff; fz;zhbia mzpe;js;s NghJ mtuj mz;ikg; Gs;sp ahj?,k; %f;ff;fz;zhbia mzpe;js;s NghJ mtuj ghu;it tpr;r ahj?,e;egu;,k;%f;ff; fz;zhbia mzpe;js;s epiyapy;,tuhy; NtWgLj;jpg; ghu;f;ff;$ba,u Gs;spfSf;F,ilg;gl;l,opTj; J}uk; ahj? (fz;tpopj;j}uk; 2cm vdf;nfhs;f.) juk; - 2 (206) - A+iy ngsjpftpay;

18 Marking Scheme Physics July205Grade:-2(206) M.C.Q Answers ) 3 2) 3) 2 4) 2 5) 4 6) 4 7) 3 8) 9) 0) ) 4 2) 2 3) 3 4) 5 5) 3 6) 5 7) 5 8) 2 9) 20) 2 2) 3 22) 2 23) 3 24) 2 25) 3 25 x 2 = 50 Structured Essay (a) (i) Vernier Calliper (0) (ii) (b) (i) for meter ruler:- fractional error increase / accuracy decrease in length measurement (0) for micrometer screw gauge: - maximum measuring length is 2.5 cm (0) Correct diagram (0) Correct labeling (0) (ii) Adjust the position of the ruler until it gets balance over the knife edge horizontally (0) (iii) To avoid, mass of the meter ruler in the calculation (0) ( c ) (i) Weight:- 50g (0) Reason:- To decrease the fractional error in length measurement (0) (d) (i) fully immerse the glass cube in water and rebalance the ruler by adjust weight (m) (0) (e) d g = ( Glass cube (ii) distance between knife edge and new position of m (0) m l 2= (M dw M)l (02) l dg l2 l )d w (0) (f) d g = ( 35 M l l Knife edge Meter ruler ) 000 = 2500 kgm (0) m weight 2. (a) (i) On the sonometer box (0) (ii) Stationary and transverse waves (both correct) (0)

19 (iii) a Shape of the curves (0) Denote peak positions (0) (b) Bring the two pegs closer together, while vibrating tuning fork place on sonometer box (0) + (0) gradually increase the distance between the pegs until paper rider jums off, (0) finally measure the distance between the pegs. (c) f = T 2lo m (0) (d) (i)f = n 2l T m m m2 = 4, n, f = n2 T (0) 2l2 m2 = l n2 l2 m = 3 m2 2 4 = 3/ (0) + (0) (ii) AB:- 3 BC:- ( both correct) (0) (iii) λmax 2 = 40 cm, λ max = 80 cm or 0.8 m (0) (iv) V= 40 x0 3 = 200 ms (0) f = V = 200 λmax 0.8 = 250 Hz (0) 3. (a) (i) Objective:- B Eye piece:- A (both correct ) (0) (b) (i) 0 l o 2l o l (ii) focal length of B is grater than focal length of A (0) B A Correct position and labelling the lenses-- (0) fa + fb Denote correct distance between the Lenses (0) 2

20 (ii) infinity (0) (iii) M = f B / f A (0) (c) (i) M = D/ d (0) (ii) All of the rays come through objective, pass through the image of objective so that the position of image (d) (e) (i) is best position for placing eyes to observe the image (02) V - U = f d, fa = f say. x V + x = f V + = x f (0) (0) = x d Df (0) D (ii) focal length of A. or f A (0) 4. (a) Heat the tube, immerse open end of the tube into the mercury and cool it (0) (b) V = la (0) P = ( π + hh L ) cmhg (0) (c) change the inclined position of the tube and obtain the corresponding measurements of H and l (0) (d) PV = k k constant (0) (e) (f) ( π + hh L l = ah kl ) la = k (0) H + πa k x Correct graph (0) Labeling the axes (0) l (0) Correct graph (0) H Labeling the axes (0) 3

21 (g) (i) c m = π h L (0) π = c m x h = 0.05 L.64 x0 4 x 0 40 (correct substitution ) (0) (ii) H = 0, π = cmhg (0) = πa l k (0) = 0.05, l = 20 cm (0) l (iii) No, When h is small as the pressure exerted on the air column is small so that length of (iv) +L - L H air column will not change some extent (0) (0) l Part- B Essay,(a) Gases are compressible, when pressure exert on the gas energy loss occur (0) (b) liquid is an incompressible (0) (c) F = P x A =.5 x 0 6 x 5.6 x = 84N (0) (d) (i) F a (0) F a = F (0) (ii) Taking moment at O 3 x F a = 2 x F b (0) F b = 3 x 84 2 = 2 N (0) (e) (i).5 x 0 6 Pa (0) (ii) F = 4.4 x 0-5 x (0) = 26 N (0) 4

22 (f) Force exerted on the disc due to a single brake pad is P = 0. 5 x 26 = 08 N (0) (g) Let τ be the torque acting on the brake pad (i) τ = P x r + P x r (0) 6 = 08 x 2 x = 2.96 Nm (0) 00 (ii) Let α be the angular deceleration of the disc Applying τ = I α (0) = 0.2 α α = - 08 rad s (0) ω = ω o + α t 0 = ω o + (-08 x ) (iii) Applying ω 2 = ω o α θ 0 = x 08 θ (0) θ = 54 rad ω o = 08 rad s (0) Number of revolutions = θ = 54 = 2π (0) (iv) increase the distance between axis and brake pads / any suitable argument (0) 2. (a) (i) Grater than 20kHz (0) (ii) The frequency of a. c = natural frequency of the piezoelectric disc (0) (iii) To emit and receive ultrasound pulse (0) (b) (i) Density and speed (0) (ii) Due to low density of air (0) (iii) kg m -2 s (0) (c) (i) To reduce reflection of ultrasound at air / material interface to send more ultrasound energy into the materials (0) (ii) Z G = 6 x 0 7 kg m -2 s - ZS = 4 x 0 7 kg m -2 s - (both correct) (0) R = (0) (d) Due to reflection at flaws (defects or boundaries) (0) (e) (i) Due to reflection at the front wall of the material (0) 5

23 (ii) Distance between IP and BW pulses = = 9.00 cm (0) Time interval between pulses IP and BW = 0.ms cm - x 9.00cm = 9 x 0-4 s (0) Time taken by the ultrasound to travel from front wall to back wall = 2 x 9 x 0-4 s = 4.5 x 0-4 s (0) (iii) Length of the material = 3000 x 4.5 x 0-4 s =.35 m (0) (iv) Distance between pulses A and B = ( ) cm = 2.5 cm (0) Time interval between pulses A and B = 2.5 x 0. x 0-3 = 2.5 x 0-4 s (0) Horizontal distance between defects A and B = 2 x 2.5 x 0-4 x 3000 = m or 37.5 cm (0) (f) (i) Any two of :- non destructive, unharmful, time saving, efficient (0) (ii) Difficult to measure the time intervals due to high speed of electromagnetic waves (0) 3. (a) (i) Cornea, refractive index high (0) (ii) The focal length of eye lens can be adjusted by action of ciliary muscles (0) (b) (i) f = (ii) P = (0) m = 2cm (0) Distance between eye lens and retina = 2 cm (0) V - U = f f = = f (0) (0) cm of convex lens, f = 54 m P = f = 54 D (0) (iii) P + P2 = 54, 44 + P2 = (0) Where f - focal length of eye lens P2 = 0 D, f = m, f = 0 cm (0) 0 6

24 (iv) eye is in relax position eye is in full accommodation (0) (0) (c) (i) far point of normal eye far point of defect eye (0) (0) (ii) f = 250 cm concave lens P = D (0) (iii) \ (v) V - U = f - = (0) 5 U 250 d d 50 x0 6 = cm d = 4 x 0-4 m 2cm (0) = 0.4 mm (0) 50μm Final Marks = MCQ marks + 5 x x 2 2 7

Find more: chemistrysabras.weebly.com twitter: ChemistrySabras

Find more: chemistrysabras.weebly.com twitter: ChemistrySabras FW juk; :- 13 (2015) aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mdruizald; njhz;ilkhdhw ntspf;fs epiyak; elhj;jk; Field Work entre jtizg; gupl;ir> Ad;- 2015 Term Examination, June - 2015,urhadtpay; - I,uz;L kzpj;jpahyq;fs;

Διαβάστε περισσότερα

f.ngh.j. (c.juk;) cjtpf; fuj;juq;f - 2015,urhadtpay; I,uz;L kzpj;jpahyk; Fwpg;G * vy;yh tpdhf;fsf;fk; tpil juf. * rupahd my;yj kpfg; nghuj;jkhd tpiliaj; njupt nra;f. mfpy tha khwpyp> R 8.314 J K 1 mol

Διαβάστε περισσότερα

Math 6 SL Probability Distributions Practice Test Mark Scheme

Math 6 SL Probability Distributions Practice Test Mark Scheme Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry

Διαβάστε περισσότερα

Homework 8 Model Solution Section

Homework 8 Model Solution Section MATH 004 Homework Solution Homework 8 Model Solution Section 14.5 14.6. 14.5. Use the Chain Rule to find dz where z cosx + 4y), x 5t 4, y 1 t. dz dx + dy y sinx + 4y)0t + 4) sinx + 4y) 1t ) 0t + 4t ) sinx

Διαβάστε περισσότερα

1. Ηλεκτρικό μαύρο κουτί: Αισθητήρας μετατόπισης με βάση τη χωρητικότητα

1. Ηλεκτρικό μαύρο κουτί: Αισθητήρας μετατόπισης με βάση τη χωρητικότητα IPHO_42_2011_EXP1.DO Experimental ompetition: 14 July 2011 Problem 1 Page 1 of 5 1. Ηλεκτρικό μαύρο κουτί: Αισθητήρας μετατόπισης με βάση τη χωρητικότητα Για ένα πυκνωτή χωρητικότητας ο οποίος είναι μέρος

Διαβάστε περισσότερα

= tpj;aghujp nkl;hpf; Nky;epiyg;gs;sp>

= tpj;aghujp nkl;hpf; Nky;epiyg;gs;sp> = tpj;aghujp nkl;hpf; Nky;epiyg;gs;sp> rf;fuhk;ghisak;, mfuk; (m)>vyr;rpg;ghisak;. jpur;nrq;nfhl(jh)> ehkf;fy;(kh) - 6370 Cell : 99655-377, 9443-377 miuahz;lg; nghjj;njh;t - brk;gh; 08 tfg;g: XI 7..08

Διαβάστε περισσότερα

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R + Chapter 3. Fuzzy Arithmetic 3- Fuzzy arithmetic: ~Addition(+) and subtraction (-): Let A = [a and B = [b, b in R If x [a and y [b, b than x+y [a +b +b Symbolically,we write A(+)B = [a (+)[b, b = [a +b

Διαβάστε περισσότερα

( ) Sine wave travelling to the right side

( ) Sine wave travelling to the right side SOUND WAVES (1) Sound wave: Varia2on of density of air Change in density at posi2on x and 2me t: Δρ(x,t) = Δρ m sin kx ωt (2) Sound wave: Varia2on of pressure Bulk modulus B is defined as: B = V dp dv

Διαβάστε περισσότερα

the total number of electrons passing through the lamp.

the total number of electrons passing through the lamp. 1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour, calculate (i) the energy

Διαβάστε περισσότερα

Monolithic Crystal Filters (M.C.F.)

Monolithic Crystal Filters (M.C.F.) Monolithic Crystal Filters (M.C.F.) MCF (MONOLITHIC CRYSTAL FILTER) features high quality quartz resonators such as sharp cutoff characteristics, low loss, good inter-modulation and high stability over

Διαβάστε περισσότερα

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example: UDZ Swirl diffuser Swirl diffuser UDZ, which is intended for installation in a ventilation duct, can be used in premises with a large volume, for example factory premises, storage areas, superstores, halls,

Διαβάστε περισσότερα

Fractional Colorings and Zykov Products of graphs

Fractional Colorings and Zykov Products of graphs Fractional Colorings and Zykov Products of graphs Who? Nichole Schimanski When? July 27, 2011 Graphs A graph, G, consists of a vertex set, V (G), and an edge set, E(G). V (G) is any finite set E(G) is

Διαβάστε περισσότερα

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3)

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3) Q1. (a) A fluorescent tube is filled with mercury vapour at low pressure. In order to emit electromagnetic radiation the mercury atoms must first be excited. (i) What is meant by an excited atom? (1) (ii)

Διαβάστε περισσότερα

PADASALAI.NET. vspjha;g; ngwitf;fyhk; 30 kjpg;ngz;fs;. 10Mk; tfg;g fw;wypy; gpd; jq;fpa khztu;fsf;f

PADASALAI.NET. vspjha;g; ngwitf;fyhk; 30 kjpg;ngz;fs;. 10Mk; tfg;g fw;wypy; gpd; jq;fpa khztu;fsf;f PADASALAI.NET vspjha;g; ngwitf;fyhk; 30 kjpg;ngz;fs;. 10Mk; tfg;g fw;wypy; gpd; jq;fpa khztu;fsf;f L.Sankaranarayanan.Assistant Headmaster(BT) G.S.Hindu HSS,Srivlliputtur 2015 G. S. H I N D U H I G H E

Διαβάστε περισσότερα

Bulletin 1489 UL489 Circuit Breakers

Bulletin 1489 UL489 Circuit Breakers Bulletin 489 UL489 Circuit Breakers Tech Data 489-A Standard AC Circuit Breaker 489-D DC Circuit Breaker 489-A, AC Circuit Breakers 489-D, DC Circuit Breakers Bulletin 489-A Industrial Circuit Breaker

Διαβάστε περισσότερα

ntw;wpf;f top (Way to Success) ⓬ fzpjk; murg; nghjj;njh;t rpwg;g ifnal jahupg;g jpu. f. jpnd\; M.Sc., M.Phil., P.G.D.C.A., Ph.D., ------ghlrk;ke;jkhd tpsf;fk; ngw ------ kpd;dq;ry; : dinesh.skksv9@gmail.com

Διαβάστε περισσότερα

Westfalia Bedienungsanleitung. Nr

Westfalia Bedienungsanleitung. Nr Westfalia Bedienungsanleitung Nr. 108230 Erich Schäfer KG Tel. 02737/5010 Seite 1/8 RATED VALUES STARTING VALUES EFF 2 MOTOR OUTPUT SPEED CURRENT MOMENT CURRENT TORQUE TYPE I A / I N M A / M N Mk/ Mn %

Διαβάστε περισσότερα

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11 Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and

Διαβάστε περισσότερα

Matrices and Determinants

Matrices and Determinants Matrices and Determinants SUBJECTIVE PROBLEMS: Q 1. For what value of k do the following system of equations possess a non-trivial (i.e., not all zero) solution over the set of rationals Q? x + ky + 3z

Διαβάστε περισσότερα

Section 8.3 Trigonometric Equations

Section 8.3 Trigonometric Equations 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Διαβάστε περισσότερα

Απόκριση σε Μοναδιαία Ωστική Δύναμη (Unit Impulse) Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο. Απόστολος Σ.

Απόκριση σε Μοναδιαία Ωστική Δύναμη (Unit Impulse) Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο. Απόστολος Σ. Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο The time integral of a force is referred to as impulse, is determined by and is obtained from: Newton s 2 nd Law of motion states that the action

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

Capacitors - Capacitance, Charge and Potential Difference

Capacitors - Capacitance, Charge and Potential Difference Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal

Διαβάστε περισσότερα

Finish: Anticorrosive finish in polyester. Number of motor poles 4=1400 r/min. 50 Hz 6=900 r/min. 50 Hz 8=750 r/min. 50 Hz

Finish: Anticorrosive finish in polyester. Number of motor poles 4=1400 r/min. 50 Hz 6=900 r/min. 50 Hz 8=750 r/min. 50 Hz HEP HEPT HEP: Wall-mounted axial fans, with IP65 motor HEPT: Long-cased axial fans, with IP65 motor Wall-mounted axial (HEP) and long-cased (HEPT) fans, with fibreglass-reinforced plastic impeller. Fan:

Διαβάστε περισσότερα

ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ

ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ ΕΛΕΝΑ ΦΛΟΚΑ Επίκουρος Καθηγήτρια Τµήµα Φυσικής, Τοµέας Φυσικής Περιβάλλοντος- Μετεωρολογίας ΓΕΝΙΚΟΙ ΟΡΙΣΜΟΙ Πληθυσµός Σύνολο ατόµων ή αντικειµένων στα οποία αναφέρονται

Διαβάστε περισσότερα

GAUGE BLOCKS. Grade 0 Tolerance for the variation in length. Limit deviation of length. ± 0.25μm. 0.14μm ±0.80μm. ± 1.90μm. ± 0.40μm. ± 1.

GAUGE BLOCKS. Grade 0 Tolerance for the variation in length. Limit deviation of length. ± 0.25μm. 0.14μm ±0.80μm. ± 1.90μm. ± 0.40μm. ± 1. GAUGE BLOCKS Accuracy according to ISO650 Nominal length (mm) Limit deviation of length Grade 0 Tolerance for the variation in length Grade Grade Grade Grade 2 Limit deviations of Tolerance for the Limit

Διαβάστε περισσότερα

Advanced Subsidiary Unit 1: Understanding and Written Response

Advanced Subsidiary Unit 1: Understanding and Written Response Write your name here Surname Other names Edexcel GE entre Number andidate Number Greek dvanced Subsidiary Unit 1: Understanding and Written Response Thursday 16 May 2013 Morning Time: 2 hours 45 minutes

Διαβάστε περισσότερα

DuPont Suva 95 Refrigerant

DuPont Suva 95 Refrigerant Technical Information T-95 ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered

Διαβάστε περισσότερα

Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)]

Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)] d Suva refrigerants Technical Information T-9100SI Thermodynamic Properties of Suva 9100 Refrigerant [R-410A (50/50)] Thermodynamic Properties of Suva 9100 Refrigerant SI Units New tables of the thermodynamic

Διαβάστε περισσότερα

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch: HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 6 3 1 7 7 7 6 4 0 6 * MATHEMATICS (SYLLABUS D) 4024/21 Paper 2 October/November 2013 Candidates answer

Διαβάστε περισσότερα

DuPont Suva. DuPont. Thermodynamic Properties of. Refrigerant (R-410A) Technical Information. refrigerants T-410A ENG

DuPont Suva. DuPont. Thermodynamic Properties of. Refrigerant (R-410A) Technical Information. refrigerants T-410A ENG Technical Information T-410A ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 410A Refrigerant (R-410A) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered

Διαβάστε περισσότερα

Study on Re-adhesion control by monitoring excessive angular momentum in electric railway traction

Study on Re-adhesion control by monitoring excessive angular momentum in electric railway traction () () Study on e-adhesion control by monitoring excessive angular momentum in electric railway traction Takafumi Hara, Student Member, Takafumi Koseki, Member, Yutaka Tsukinokizawa, Non-member Abstract

Διαβάστε περισσότερα

PhysicsAndMathsTutor.com 1

PhysicsAndMathsTutor.com 1 PhysicsAndMathsTutor.com 1 Q1. The magnetic flux through a coil of N turns is increased uniformly from zero to a maximum value in a time t. An emf, E, is induced across the coil. What is the maximum value

Διαβάστε περισσότερα

DuPont Suva 95 Refrigerant

DuPont Suva 95 Refrigerant Technical Information T-95 SI DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered

Διαβάστε περισσότερα

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 0 5 1 0 3 4 8 7 8 5 * MATHEMATICS (SYLLABUS D) 4024/21 Paper 2 May/June 2013 Candidates answer on the

Διαβάστε περισσότερα

MECHANICAL PROPERTIES OF MATERIALS

MECHANICAL PROPERTIES OF MATERIALS MECHANICAL PROPERTIES OF MATERIALS! Simple Tension Test! The Stress-Strain Diagram! Stress-Strain Behavior of Ductile and Brittle Materials! Hooke s Law! Strain Energy! Poisson s Ratio! The Shear Stress-Strain

Διαβάστε περισσότερα

Answers to practice exercises

Answers to practice exercises Answers to practice exercises Chapter Exercise (Page 5). 9 kg 2. 479 mm. 66 4. 565 5. 225 6. 26 7. 07,70 8. 4 9. 487 0. 70872. $5, Exercise 2 (Page 6). (a) 468 (b) 868 2. (a) 827 (b) 458. (a) 86 kg (b)

Διαβάστε περισσότερα

d dx x 2 = 2x d dx x 3 = 3x 2 d dx x n = nx n 1

d dx x 2 = 2x d dx x 3 = 3x 2 d dx x n = nx n 1 d dx x 2 = 2x d dx x 3 = 3x 2 d dx x n = nx n1 x dx = 1 2 b2 1 2 a2 a b b x 2 dx = 1 a 3 b3 1 3 a3 b x n dx = 1 a n +1 bn +1 1 n +1 an +1 d dx d dx f (x) = 0 f (ax) = a f (ax) lim d dx f (ax) = lim 0 =

Διαβάστε περισσότερα

Metal Oxide Varistors (MOV) Data Sheet

Metal Oxide Varistors (MOV) Data Sheet Φ SERIES Metal Oxide Varistors (MOV) Data Sheet Features Wide operating voltage (V ma ) range from 8V to 0V Fast responding to transient over-voltage Large absorbing transient energy capability Low clamping

Διαβάστε περισσότερα

Assalamu `alaikum wr. wb.

Assalamu `alaikum wr. wb. LUMP SUM Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. LUMP SUM Lump sum lump sum lump sum. lump sum fixed price lump sum lump

Διαβάστε περισσότερα

Surface Mount Multilayer Chip Capacitors for Commodity Solutions

Surface Mount Multilayer Chip Capacitors for Commodity Solutions Surface Mount Multilayer Chip Capacitors for Commodity Solutions Below tables are test procedures and requirements unless specified in detail datasheet. 1) Visual and mechanical 2) Capacitance 3) Q/DF

Διαβάστε περισσότερα

Approximation of distance between locations on earth given by latitude and longitude

Approximation of distance between locations on earth given by latitude and longitude Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth

Διαβάστε περισσότερα

Correction of chromatic aberration for human eyes with diffractive-refractive hybrid elements

Correction of chromatic aberration for human eyes with diffractive-refractive hybrid elements 5 5 2012 10 Chinese Optics Vol. 5 No. 5 Oct. 2012 1674-2915 2012 05-0525-06 - * 100190-14 - - 14. 51 μm 81. 4 μm - 1. 64 μm / O436. 1 TH703 A doi 10. 3788 /CO. 20120505. 0525 Correction of chromatic aberration

Διαβάστε περισσότερα

DERIVATION OF MILES EQUATION FOR AN APPLIED FORCE Revision C

DERIVATION OF MILES EQUATION FOR AN APPLIED FORCE Revision C DERIVATION OF MILES EQUATION FOR AN APPLIED FORCE Revision C By Tom Irvine Email: tomirvine@aol.com August 6, 8 Introduction The obective is to derive a Miles equation which gives the overall response

Διαβάστε περισσότερα

Volume of a Cuboid. Volume = length x breadth x height. V = l x b x h. The formula for the volume of a cuboid is

Volume of a Cuboid. Volume = length x breadth x height. V = l x b x h. The formula for the volume of a cuboid is Volume of a Cuboid The formula for the volume of a cuboid is Volume = length x breadth x height V = l x b x h Example Work out the volume of this cuboid 10 cm 15 cm V = l x b x h V = 15 x 6 x 10 V = 900cm³

Διαβάστε περισσότερα

SIEMENS Squirrel Cage Induction Standard Three-phase Motors

SIEMENS Squirrel Cage Induction Standard Three-phase Motors - SIEMENS Squirrel Cage Induction Standard Three-phase Motors 2 pole 3000 rpm 50Hz Rated current Power Efficiency Rated Ratio Noise Output Frame Speed Weight 3V 400V 415V factor Class 0%Load 75%Load torque

Διαβάστε περισσότερα

Calculating the propagation delay of coaxial cable

Calculating the propagation delay of coaxial cable Your source for quality GNSS Networking Solutions and Design Services! Page 1 of 5 Calculating the propagation delay of coaxial cable The delay of a cable or velocity factor is determined by the dielectric

Διαβάστε περισσότερα

Focal Length. Max. Aperture Ratio 1:1.4. Focus 0.3m - 0.9m. Object Dimension at M.O.D. 40.7(H)cm x 30.4(V)cm 1/2" 76.7 V

Focal Length. Max. Aperture Ratio 1:1.4. Focus 0.3m - 0.9m. Object Dimension at M.O.D. 40.7(H)cm x 30.4(V)cm 1/2 76.7 V MEGA-PIXEL LENSES Captures full resolution of mega-pixel cameras Low distortion (Less than 1.0%) Locking set screws for focus and iris High contrast & sharp picture in all areas of the screen Compact design-iameter

Διαβάστε περισσότερα

Derivation of Optical-Bloch Equations

Derivation of Optical-Bloch Equations Appendix C Derivation of Optical-Bloch Equations In this appendix the optical-bloch equations that give the populations and coherences for an idealized three-level Λ system, Fig. 3. on page 47, will be

Διαβάστε περισσότερα

Exercises 10. Find a fundamental matrix of the given system of equations. Also find the fundamental matrix Φ(t) satisfying Φ(0) = I. 1.

Exercises 10. Find a fundamental matrix of the given system of equations. Also find the fundamental matrix Φ(t) satisfying Φ(0) = I. 1. Exercises 0 More exercises are available in Elementary Differential Equations. If you have a problem to solve any of them, feel free to come to office hour. Problem Find a fundamental matrix of the given

Διαβάστε περισσότερα

1 String with massive end-points

1 String with massive end-points 1 String with massive end-points Πρόβλημα 5.11:Θεωρείστε μια χορδή μήκους, τάσης T, με δύο σημειακά σωματίδια στα άκρα της, το ένα μάζας m, και το άλλο μάζας m. α) Μελετώντας την κίνηση των άκρων βρείτε

Διαβάστε περισσότερα

Problem 7.19 Ignoring reflection at the air soil boundary, if the amplitude of a 3-GHz incident wave is 10 V/m at the surface of a wet soil medium, at what depth will it be down to 1 mv/m? Wet soil is

Διαβάστε περισσότερα

Chapter 7 Transformations of Stress and Strain

Chapter 7 Transformations of Stress and Strain Chapter 7 Transformations of Stress and Strain INTRODUCTION Transformation of Plane Stress Mohr s Circle for Plane Stress Application of Mohr s Circle to 3D Analsis 90 60 60 0 0 50 90 Introduction 7-1

Διαβάστε περισσότερα

A, B. Before installation of the foam parts (A,B,C,D) into the chambers we put silicone around. We insert the foam parts in depth shown on diagram.

A, B. Before installation of the foam parts (A,B,C,D) into the chambers we put silicone around. We insert the foam parts in depth shown on diagram. Corner Joints Machining, Frame edge sealing. Page ID: frame01 D D C A, B A C B C A 20 60 Before installation of the foam parts (A,B,C,D) into the chambers we put silicone around. We insert the foam parts

Διαβάστε περισσότερα

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =?

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =? Teko Classes IITJEE/AIEEE Maths by SUHAAG SIR, Bhopal, Ph (0755) 3 00 000 www.tekoclasses.com ANSWERSHEET (TOPIC DIFFERENTIAL CALCULUS) COLLECTION # Question Type A.Single Correct Type Q. (A) Sol least

Διαβάστε περισσότερα

Reminders: linear functions

Reminders: linear functions Reminders: linear functions Let U and V be vector spaces over the same field F. Definition A function f : U V is linear if for every u 1, u 2 U, f (u 1 + u 2 ) = f (u 1 ) + f (u 2 ), and for every u U

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

38 Te(OH) 6 2NH 4 H 2 PO 4 (NH 4 ) 2 HPO 4

38 Te(OH) 6 2NH 4 H 2 PO 4 (NH 4 ) 2 HPO 4 Fig. A-1-1. Te(OH) NH H PO (NH ) HPO (TAAP). Projection of the crystal structure along the b direction [Ave]. 9 1. 7.5 ( a a )/ a [1 ] ( b b )/ b [1 ] 5..5 1.5 1 1.5 ( c c )/ c [1 ].5 1. 1.5. Angle β 1.

Διαβάστε περισσότερα

Congruence Classes of Invertible Matrices of Order 3 over F 2

Congruence Classes of Invertible Matrices of Order 3 over F 2 International Journal of Algebra, Vol. 8, 24, no. 5, 239-246 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.2988/ija.24.422 Congruence Classes of Invertible Matrices of Order 3 over F 2 Ligong An and

Διαβάστε περισσότερα

2007 Classical Greek. Intermediate 2 Translation. Finalised Marking Instructions

2007 Classical Greek. Intermediate 2 Translation. Finalised Marking Instructions 2007 Classical Greek Intermediate 2 Translation Finalised Marking Instructions Scottish Qualifications Authority 2007 The information in this publication may be reproduced to support SQA qualifications

Διαβάστε περισσότερα

MINIATURE ALUMINUM ELECTROLYTIC CAPACITORS. Characteristics. Leakage Current(MAX) I=Leakage Current(µA) C=Nominal Capacitance(µF) V=Rated Voltage(V)

MINIATURE ALUMINUM ELECTROLYTIC CAPACITORS. Characteristics. Leakage Current(MAX) I=Leakage Current(µA) C=Nominal Capacitance(µF) V=Rated Voltage(V) SERIES 5 C Long Life. Low impedance. (Rated Voltage 6.3~V.DC) FEATURES Load Life : 5 C 4~hours. Low impedance at khz with selected materials. SPECIFICATIONS Items Operating Temperature Range Rated Voltage

Διαβάστε περισσότερα

CMOS Technology for Computer Architects

CMOS Technology for Computer Architects CMOS Technology for Computer Architects Iakovos Mavroidis Giorgos Passas Manolis Katevenis Lecture 13: On chip SRAM Technology FORTH ICS / EURECCA & UoC GREECE ABC A A E F A BCDAECF A AB C DE ABCDAECF

Διαβάστε περισσότερα

DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0.

DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0. DESIGN OF MACHINERY SOLUTION MANUAL -7-1! PROBLEM -7 Statement: Design a double-dwell cam to move a follower from to 25 6, dwell for 12, fall 25 and dwell for the remader The total cycle must take 4 sec

Διαβάστε περισσότερα

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3

Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 1 State vector space and the dual space Space of wavefunctions The space of wavefunctions is the set of all

Διαβάστε περισσότερα

ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα. Ξενόγλωσση Τεχνική Ορολογία

ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα. Ξενόγλωσση Τεχνική Ορολογία ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα Ξενόγλωσση Τεχνική Ορολογία Ενότητα: Principles of an Internal Combustion Engine Παναγιώτης Τσατσαρός Τμήμα Μηχανολόγων Μηχανικών

Διαβάστε περισσότερα

EE101: Resonance in RLC circuits

EE101: Resonance in RLC circuits EE11: Resonance in RLC circuits M. B. Patil mbatil@ee.iitb.ac.in www.ee.iitb.ac.in/~sequel Deartment of Electrical Engineering Indian Institute of Technology Bombay I V R V L V C I = I m = R + jωl + 1/jωC

Διαβάστε περισσότερα

DETERMINATION OF DYNAMIC CHARACTERISTICS OF A 2DOF SYSTEM. by Zoran VARGA, Ms.C.E.

DETERMINATION OF DYNAMIC CHARACTERISTICS OF A 2DOF SYSTEM. by Zoran VARGA, Ms.C.E. DETERMINATION OF DYNAMIC CHARACTERISTICS OF A 2DOF SYSTEM by Zoran VARGA, Ms.C.E. Euro-Apex B.V. 1990-2012 All Rights Reserved. The 2 DOF System Symbols m 1 =3m [kg] m 2 =8m m=10 [kg] l=2 [m] E=210000

Διαβάστε περισσότερα

± 20% ± 5% ± 10% RENCO ELECTRONICS, INC.

± 20% ± 5% ± 10% RENCO ELECTRONICS, INC. RL15 RL16, RL17, RL18 MINIINDUCTORS CONFORMALLY COATED MARKING The nominal inductance is marked by a color code as listed in the table below. Color Black Brown Red Orange Yellow Green Blue Purple Grey

Διαβάστε περισσότερα

Current Status of PF SAXS beamlines. 07/23/2014 Nobutaka Shimizu

Current Status of PF SAXS beamlines. 07/23/2014 Nobutaka Shimizu Current Status of PF SAXS beamlines 07/23/2014 Nobutaka Shimizu BL-6A Detector SAXS:PILATUS3 1M WAXD:PILATUS 100K Wavelength 1.5Å (Fix) Camera Length 0.25, 0.5, 1.0, 2.0, 2.5 m +WAXD Chamber:0.75, 1.0,

Διαβάστε περισσότερα

Pg The perimeter is P = 3x The area of a triangle is. where b is the base, h is the height. In our case b = x, then the area is

Pg The perimeter is P = 3x The area of a triangle is. where b is the base, h is the height. In our case b = x, then the area is Pg. 9. The perimeter is P = The area of a triangle is A = bh where b is the base, h is the height 0 h= btan 60 = b = b In our case b =, then the area is A = = 0. By Pythagorean theorem a + a = d a a =

Διαβάστε περισσότερα

FEATURES APPLICATION PRODUCT T IDENTIFICATION PRODUCT T DIMENSION MAG.LAYERS

FEATURES APPLICATION PRODUCT T IDENTIFICATION PRODUCT T DIMENSION MAG.LAYERS FEATURES RoHS compliant. Super low resistance, ultra high current rating. High performance (I sat) realized by metal dust core. Frequency Range: up to 1MHz. APPLICATION PDA, notebook, desktop, and server

Διαβάστε περισσότερα

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O Q1. (a) Explain the meaning of the terms mean bond enthalpy and standard enthalpy of formation. Mean bond enthalpy... Standard enthalpy of formation... (5) (b) Some mean bond enthalpies are given below.

Διαβάστε περισσότερα

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Centre No. Candidate No. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Materials required for examination Nil Paper Reference

Διαβάστε περισσότερα

IIT JEE (2013) (Trigonomtery 1) Solutions

IIT JEE (2013) (Trigonomtery 1) Solutions L.K. Gupta (Mathematic Classes) www.pioeermathematics.com MOBILE: 985577, 677 (+) PAPER B IIT JEE (0) (Trigoomtery ) Solutios TOWARDS IIT JEE IS NOT A JOURNEY, IT S A BATTLE, ONLY THE TOUGHEST WILL SURVIVE

Διαβάστε περισσότερα

SCHOOL OF MATHEMATICAL SCIENCES G11LMA Linear Mathematics Examination Solutions

SCHOOL OF MATHEMATICAL SCIENCES G11LMA Linear Mathematics Examination Solutions SCHOOL OF MATHEMATICAL SCIENCES GLMA Linear Mathematics 00- Examination Solutions. (a) i. ( + 5i)( i) = (6 + 5) + (5 )i = + i. Real part is, imaginary part is. (b) ii. + 5i i ( + 5i)( + i) = ( i)( + i)

Διαβάστε περισσότερα

Aluminum Electrolytic Capacitors (Large Can Type)

Aluminum Electrolytic Capacitors (Large Can Type) Aluminum Electrolytic Capacitors (Large Can Type) Snap-In, 85 C TS-U ECE-S (U) Series: TS-U Features General purpose Wide CV value range (33 ~ 47,000 µf/16 4V) Various case sizes Top vent construction

Διαβάστε περισσότερα

Forced Pendulum Numerical approach

Forced Pendulum Numerical approach Numerical approach UiO April 8, 2014 Physical problem and equation We have a pendulum of length l, with mass m. The pendulum is subject to gravitation as well as both a forcing and linear resistance force.

Διαβάστε περισσότερα

Smaller. 6.3 to 100 After 1 minute's application of rated voltage at 20 C, leakage current is. not more than 0.03CV or 4 (µa), whichever is greater.

Smaller. 6.3 to 100 After 1 minute's application of rated voltage at 20 C, leakage current is. not more than 0.03CV or 4 (µa), whichever is greater. Low Impedance, For Switching Power Supplies Low impedance and high reliability withstanding 5000 hours load life at +05 C (3000 / 2000 hours for smaller case sizes as specified below). Capacitance ranges

Διαβάστε περισσότερα

WAVE REVIEW. 1. The two graphs show the variation with time of the individual displacements of two waves as they pass through the same point.

WAVE REVIEW. 1. The two graphs show the variation with time of the individual displacements of two waves as they pass through the same point. WAVE REVIEW 1. The two graphs show the variation with time of the individual displacements of two waves as they pass through the same point. displacement A 1 x 1 T time A 1 displacement A 2 x A 2 2 T time

Διαβάστε περισσότερα

2 Composition. Invertible Mappings

2 Composition. Invertible Mappings Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,

Διαβάστε περισσότερα

Solutions to Exercise Sheet 5

Solutions to Exercise Sheet 5 Solutions to Eercise Sheet 5 jacques@ucsd.edu. Let X and Y be random variables with joint pdf f(, y) = 3y( + y) where and y. Determine each of the following probabilities. Solutions. a. P (X ). b. P (X

Διαβάστε περισσότερα

Sampling Basics (1B) Young Won Lim 9/21/13

Sampling Basics (1B) Young Won Lim 9/21/13 Sampling Basics (1B) Copyright (c) 2009-2013 Young W. Lim. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any

Διαβάστε περισσότερα

ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ. Ψηφιακή Οικονομία. Διάλεξη 10η: Basics of Game Theory part 2 Mαρίνα Μπιτσάκη Τμήμα Επιστήμης Υπολογιστών

ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ. Ψηφιακή Οικονομία. Διάλεξη 10η: Basics of Game Theory part 2 Mαρίνα Μπιτσάκη Τμήμα Επιστήμης Υπολογιστών ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ Ψηφιακή Οικονομία Διάλεξη 0η: Basics of Game Theory part 2 Mαρίνα Μπιτσάκη Τμήμα Επιστήμης Υπολογιστών Best Response Curves Used to solve for equilibria in games

Διαβάστε περισσότερα

Graded Refractive-Index

Graded Refractive-Index Graded Refractive-Index Common Devices Methodologies for Graded Refractive Index Methodologies: Ray Optics WKB Multilayer Modelling Solution requires: some knowledge of index profile n 2 x Ray Optics for

Διαβάστε περισσότερα

MnZn. MnZn Ferrites with Low Loss and High Flux Density for Power Supply Transformer. Abstract:

MnZn. MnZn Ferrites with Low Loss and High Flux Density for Power Supply Transformer. Abstract: MnZn JFE No. 8 5 6 p. 32 37 MnZn Ferrites with Low Loss and High Flux Density for Power Supply Transformer FUJITA Akira JFE Ph. D. FUKUDA Yutaka JFE NISHIZAWA Keitarou JFE TOGAWA Jirou MnZn Fe2O3 1 C NiO

Διαβάστε περισσότερα

2. Chemical Thermodynamics and Energetics - I

2. Chemical Thermodynamics and Energetics - I . Chemical Thermodynamics and Energetics - I 1. Given : Initial Volume ( = 5L dm 3 Final Volume (V = 10L dm 3 ext = 304 cm of Hg Work done W = ext V ext = 304 cm of Hg = 304 atm [... 76cm of Hg = 1 atm]

Διαβάστε περισσότερα

(C) 2010 Pearson Education, Inc. All rights reserved.

(C) 2010 Pearson Education, Inc. All rights reserved. Connectionless transmission with datagrams. Connection-oriented transmission is like the telephone system You dial and are given a connection to the telephone of fthe person with whom you wish to communicate.

Διαβάστε περισσότερα

EE512: Error Control Coding

EE512: Error Control Coding EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3

Διαβάστε περισσότερα

STEAM TABLES. Mollier Diagram

STEAM TABLES. Mollier Diagram STEAM TABLES and Mollier Diagram (S.I. Units) dharm \M-therm\C-steam.pm5 CONTENTS Table No. Page No. 1. Saturated Water and Steam (Temperature) Tables I (ii) 2. Saturated Water and Steam (Pressure) Tables

Διαβάστε περισσότερα

ST5224: Advanced Statistical Theory II

ST5224: Advanced Statistical Theory II ST5224: Advanced Statistical Theory II 2014/2015: Semester II Tutorial 7 1. Let X be a sample from a population P and consider testing hypotheses H 0 : P = P 0 versus H 1 : P = P 1, where P j is a known

Διαβάστε περισσότερα

ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ

ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ & ΜΗΧΑΝΙΚΩΝ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΗΛΕΚΤΡΟΝΙΚΗΣ ΜΕΛΕΤΗ ΚΑΙ ΚΑΤΑΣΚΕΥΗ ΙΑΤΑΞΗΣ ΜΕΤΡΗΣΗΣ ΘΕΡΜΟΧΩΡΗΤΙΚΟΤΗΤΑΣ ΣΕ ΜΑΓΝΗΤΙΚΟ ΠΕ ΙΟ ΓΙΑ ΧΑΡΑΚΤΗΡΙΣΜΟ

Διαβάστε περισσότερα

Computing the Gradient

Computing the Gradient FMIA F. Moukalled L. Mangani M. Darwish An Advanced Introduction with OpenFOAM and Matlab This textbook explores both the theoretical oundation o the Finite Volume Method (FVM) and its applications in

Διαβάστε περισσότερα

ALUMINUM ELECTROLYTIC CAPACITORS LKG

ALUMINUM ELECTROLYTIC CAPACITORS LKG Lug / Snap-in Terminal Type, For Audio Equipment Disigned for high grade audio equipment, giving priority to high fidelity sound quality. The variation expansion of the. TYPE-: The low profile high tone

Διαβάστε περισσότερα

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM Solutions to Question 1 a) The cumulative distribution function of T conditional on N n is Pr T t N n) Pr max X 1,..., X N ) t N n) Pr max

Διαβάστε περισσότερα

SOLUTIONS & ANSWERS FOR KERALA ENGINEERING ENTRANCE EXAMINATION-2018 PAPER II VERSION B1

SOLUTIONS & ANSWERS FOR KERALA ENGINEERING ENTRANCE EXAMINATION-2018 PAPER II VERSION B1 SOLUTIONS & ANSWERS FOR KERALA ENGINEERING ENTRANCE EXAMINATION-8 PAPER II VERSION B [MATHEMATICS]. Ans: ( i) It is (cs5 isin5 ) ( i). Ans: i z. Ans: i i i The epressin ( i) ( ). Ans: cs i sin cs i sin

Διαβάστε περισσότερα

Design and Fabrication of Water Heater with Electromagnetic Induction Heating

Design and Fabrication of Water Heater with Electromagnetic Induction Heating U Kamphaengsean Acad. J. Vol. 7, No. 2, 2009, Pages 48-60 ก 7 2 2552 ก ก กก ก Design and Fabrication of Water Heater with Electromagnetic Induction Heating 1* Geerapong Srivichai 1* ABSTRACT The purpose

Διαβάστε περισσότερα

6.4 Superposition of Linear Plane Progressive Waves

6.4 Superposition of Linear Plane Progressive Waves .0 - Marine Hydrodynamics, Spring 005 Lecture.0 - Marine Hydrodynamics Lecture 6.4 Superposition of Linear Plane Progressive Waves. Oblique Plane Waves z v k k k z v k = ( k, k z ) θ (Looking up the y-ais

Διαβάστε περισσότερα

Written Examination. Antennas and Propagation (AA ) April 26, 2017.

Written Examination. Antennas and Propagation (AA ) April 26, 2017. Written Examination Antennas and Propagation (AA. 6-7) April 6, 7. Problem ( points) Let us consider a wire antenna as in Fig. characterized by a z-oriented linear filamentary current I(z) = I cos(kz)ẑ

Διαβάστε περισσότερα