Physics (Specification A & B) PHY6T/Q11/test

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2 2 Section A Answer all questions in the spaces provided. You should refer to your documentation from Stage 1 as necessary. 1 (a) State the control variable in your experiment. 1 (b) Calculate the percentage uncertainty in the smallest mean pd, V (c) Discuss two factors which determine the accuracy of the measurement of V 10. (4 marks)

3 3 1 (d) State two ways in which a data logger instead of a voltmeter and stopclock, would improve the accuracy in the measurement of V (e) For a capacitor of capacitance C discharging through a resistor of resistance R the potential difference across the capacitor is given by the equation V = V 0 e t/rc where V is the pd across the capacitor at time, t, and V 0 is the pd across the capacitor at time t = 0 1 (e) (i) Use the above equation to show that ln( V ) = RC V 0 1 (e) (ii) Explain how the capacitance of the capacitor can be determined from the graph in your experiment. 10 Turn over for the next question Turn over

4 Section B 4 box 2 The decay of a radioactive substance follows a similar pattern to the discharge of a capacitor through a resistor. It can be represented by the equation A = A 0 e λt where A = the activity of the sample at time t A 0 = the initial activity at time t = 0 λ = the decay constant The half life, T 1/2 of the radioactive substance is given by T 1/2 = ln2 λ time, t / minutes An experiment was performed to determine the half-life of a radioactive substance which was a beta emitter. The radioactive source was placed close to a detector. The total count for exactly 5 minutes was recorded. This was repeated at 20 minute intervals. The results are shown in the table below. total count, C, recorded in 5 minutes count rate, R / counts minute 1 corrected count rate, R C / counts minute 1 ln (R C / minute 1 ) (a) A correction has been made to the count rate, R, to give the corrected count rate, R C. Explain why this correction has been made and deduce its value from the table.

5 5 box ln (R c / minute 1 ) t / minutes Question 2 continues on the next page Turn over

6 6 2 (b) Complete the table on page 4 by entering values for the count rate, R, the corrected count rate, R C and ln(r C / minute 1 ), corresponding to times 120 minutes and 140 minutes respectively. 2 (c) Complete the graph on page 5 by plotting the remaining two points. Draw an appropriate straight line through the plotted points. 2 (d) Determine the gradient G of your graph. (3 marks) 2 (e) Use your graph to determine the half-life in minutes of the radioactive substance used in this experiment. half-life, T 1/2... minutes 11

7 7 3 (a) Due to the nature of a radioactive decay there will be an uncertainty in the total count recorded. What type of error is this called? 3 (b) (i) It can be shown that the error in the total count C, is given by uncertainty in total count C = ± C Using data from the table on page 4, calculate the uncertainty in the smallest total count, C. 3 (b) (ii) Hence calculate the percentage uncertainty in the smallest total count, C. 3 (b) (iii) Another student performed the same experiment with identical equipment but took total counts over a 1 minute period rather than a 5-minute period. The total count, C, at 140 minutes was equal to 84 counts. Estimate the percentage uncertainty in this total count, and hence explain the advantage of using a larger time. 5 Turn over.

8 8 4 (a) (i) If the detector had been moved further away from the source in this experiment, discuss how this would have affected the results and accuracy. (3 marks) 4 (a) (ii) If a graph of ln(r C / minute 1 ) against time were drawn for these results, state what features of the graph would be similar and what features would be different to the graph on page 5. (3 marks) 4 (b) State two essential safety precautions when handling radioactive sources in experimental work. END OF QUESTIONS 7 Copyright 2011 AQA and its licensors. All rights reserved.

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