TARGET IIT JEE CHEMISTRY, MATHEMATICS & PHYSICS

Transcript

1 S -- I - TAGET IIT JEE CHEMISTY, MATHEMATICS & PHYSICS HINTS & SLUTIN CHEMISTY Single Choice Questions.[C].[C].[] (i) KCl(s) + H (l) KCl. H H. kj. (ii) KCl(s) + H (l) KCl. H H 8.8 kj. ur air is KCl. H KCl. H H (enthalpy o dilution)? Subtract (i) rom (ii), we get KCl. H + 8 H KCl, H H.68 kj. CH CH CH CH H will decolourise r water because it has CC bond. It will react with Na because it has H group. H group can be oidized by chromic acid. Since it has º alcoholic groups hence it will react slow with Lucas reagent CH CH CCH can not decolourise r water and can not react with Na because o the absence o CC bond and H group chormic acid can not oidize keto group. [CH CH CH CH H, r ty dks jaghu dj nsrk gs ;ksad blesa C C ca/k milfkr gsa ;g Na ds lkfk Ø;k djsk ;ksad blesa H lewg gsa H lewg Øksed Ey ls kwlhd`r gks ldrk gsa pwd blesa º,YdksgkWyd lewg milfkr gsa r% ;g Y;qdkl HkdeZd ds lkfk /kheh Ø;k djsk CH CH CCH, r ty dks jaghu ugha dj ldrk rfkk CC ca/k o H lewg dh uqilfkr ds dkj.k Na ds lkfk Ø;k ugha dj ldrk] Øksed Ey dhvksa lewg dks kwlhd`r ugha dj ldrka].[c] H (+) glycol,h H ( +) H Na H Multiple Choice Questions.[A,,C,] 6.[A,,] 7.[A,,C,] 8.[A,,C] In (A) CH C H underlined carbon cannot as nucleophile centre because the charge on it is not suiciently deeloped due to ollowing Θ Θ resonance CH C H CH CH () lacks in -hydrogen. It gie cannizzaro reaction. (C) also lacks -hydrogen. It gie cannizzaro reaction..[a,,] Column Matching. (A) P,S,T; () P,Q; (C) Q; () Q,. (A) S; () P; (C) Q ; () Numerical esponse W i t.[] E or n 6. / n 6.[6].[] n-actor o I and n-actor o Na S 8 CAEE PINT, CP Tower, oad No., IPIA, Kota (aj.), Ph: 7- Page #

2 .[] XA + C.[6] a( ) Kc a a a a( ) V. V.a ( ).V Since, is independent o a Cl Cl,,,-Tetrachloropropane (mol. mass 8) CH C C H + Zn CH C CH + ZnCl Cl Cl Propyne (mol. mass ) CH C CH + [Ag(NH ) ] H CH C C Ag + NH + H White ppt. (Mol. mass 7) Mass o propyne obtained rom 7. g o,,, -tetrachloropropane 7..6g 8 Mass o precipitate obtained rom.6 g o propyne g 6.[] CHCH r CH CH A C CH CCH C C CH C CH (Two oygen) r / CCl r HgS / H S NaNH Hr Na/ Aldol condensation 7.[] NH NH 8.[8] (W) / H (zonolysis) KH / glycol (Wol Kishner reduction) H H (X) Ca (H) C H CH 6 aeyer Villiger oidation (Z) (Y) MATHEMATICS Compound 'Z' has 8 carbons.. [] The shortest distance is along the normal to both cures. (y?kqùke nwjh nksuksa oøkas ds yecor~ gksh) The normal at point P( cos θ, sin θ) on the ellipse is cosθ y sin θ It passes through the centre C, o the circle with radius ; hence cosθ π hence we get θ and P, shortest distance CP. [C] a, a, a, a 6 π A π 6 hence det(a) π. [C] Equation o C is y which is a rectangular hyperbola (k;rh; rijoy;) with eccentricity equal to. Hence ocus is (, ) and (, ) CAEE PINT, CP Tower, oad No., IPIA, Kota (aj.), Ph: 7- Page #

3 Now or ellipse ae a. a t t 6y t p, q 6 and b a ( e ) ( ) Hence length o latus rectum (ukhkyec). [C] equired probability (Hkh"V izk;drk) 6. [,C,] In this problem sin is deined in a dierent manner. Let sin π π ( ) y, y, 6. [A,C] sin y sin(π y) π y sin π π as π y, y π sin g( ) π sin a + sin sin a ( + ) as [( 6) + ] sin a so or solution 6 & 6 a (k + ) π a (k + )π 7. [A,] o your sel. 8. [A,,C] A A adj (A) A λ I λ λ λ λ + λ Characteristic equation is A A + I A I A. [A,] 6y.y' t + y' t + t 6t 6 (y t) 6 ( 6) 6y 6t t p + q t 6 t + 6 t ± 6 Column Matching :. A Q; ; C P; (A) Let the equation o the circle is ( y + )( y +) + λy then λ Equation o the circle is + y + 7 y + Centre is 7, () a, ae e (C) b a + e' 8e' e e' (, ) equired area 8 π() 8 π π λ λ () î [( a ĵ ) î ]( î. î )( a ĵ ) ( î.( a ĵ )) î a ĵ ( î. a ) î a ĵ ( î. a ) î + a kˆ ( ĵ. a ) ĵ + a î ( kˆ. a ) kˆ a ( î + ĵ + kˆ ) a a ( î + ĵ + kˆ ) î + y ĵ + z kˆ y z. A S; Q; C ; T (A)( + ) ( +) ( + ) ( + ) C C C () T n C / n ( ) / / CAEE PINT, CP Tower, oad No., IPIA, Kota (aj.), Ph: 7- Page #

4 n n. n C λ + C λ (C) Probability (number is multiple o ) 8 6 required probability p C 78 p () y z ( + y + z) Numerical esponse.[] oots o the equation are,,, β cos, γ π cos Σ π, Σcos centre is (π, ) equation o the circle is ( π) + (y ) r which π passes through sin tan, ( π,) + r r.[] Let the equation o the line is y t ( t ) ends o the chord (thok ds ljs) are (t, t) and ( t), ( t)) so h parabola is 8 y a, b 8, l al b t t +,.[] oth cures passes through (, ) hence c and + a + b t + y c and a + b Also + a a + a and b Hence a + b + c and a + b c.[7] (ab abc) ab (y c) abc ab ( y) abc ( 7) 7 hence lines are ( y) + λ P ma P ma 7.[8] Here a + b l a + b l Area (A) o rectangle (k;r) AC A C (AP + P) (Q + QC) (b sin θ + a cos θ) (a sin θ + b cos θ) a + b ab + sin θ A ma 6.[] p (a + b) p q 7 l 8 8 l 8 8 q q pq q p q p 7.[] Let the numbers be a d, a, a + d Then (a d), a, (a + d) are in G.P. a (a d) (a + d) d, ± 8.[] Let () a + b PHYSICS M. [] T π K T (π M ) K a K π M T K M T + K M T K. + K.. +.% e c is minimum. [] Conceptual CAEE PINT, CP Tower, oad No., IPIA, Kota (aj.), Ph: 7- Page #

5 . [C] V A upward. [C] A λn. [A, C, ] V downward V C upward A N N N ρg.6 N T / AT /.6 AT A T A T A T / / P F th P F th + mg ρ + ρg [P ρ(g + )] L Work done F d ρgl + ρ L 7. [, ] eq ; i eading o oltmeter V. 8. [, C] isplacement should be zero at, y and at, y L, L etc.. [A,, ] r m r mgsinθ r mgsinθ I there is no riction between plank and inclined plane then both will hae same acceleration hence no riction. Column matching. (A) (Q,, T) ; () (P, T) (C) (Q,, T) ; () (Q,, T). (A) (P, Q) ; () (P, ) (C) (P, ) ; () (P, S) Numerical esponse :. [] Fsinθ F θ θ C Fcosθ µ 6. [, C] y u cm I y, + 7 Equation will y 7 F sinθ m...() Fcosθ mω...() tanθ ω θ º ω CAEE PINT, CP Tower, oad No., IPIA, Kota (aj.), Ph: 7- Page #. [] / C / / / A eq Ω /

6 . [] C. [] F b ε mg Q Cε L C mg ρ l g ρ'g...() +Cε Cε. [] τ τ e t/τ ε τ t e τ τ ( e t/τ ) ε e ε e t / C L C e t/τ t T ln / C t L...()...() t ε e L L ln sec. + + ocal length o cone mirror ( ) m ocal length o concae lens ( ) m eectie lens ( eq ) M + l m, P m mg mg ρ l ' g ' P atm (P atm + ρgh) P atm P atm + ρgh P h atm ρg h λ 6. [] dn 7. [] λ λ N A N dt t ln() or N to be maimum dn dt KM KM 8. [8] F U r r Energy conseration at nearest and arthest point. KM KM MV min ( / ) ( / ) Soling V 8 CAEE PINT, CP Tower, oad No., IPIA, Kota (aj.), Ph: 7- Page # 6