PHA3/W PHYSICS (SPECIFICATION A) Unit 3 Current Electricity and Elastic Properties of Solids

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Surname Centre Number Other Names Candidate Number Leave blank Candidate Signature General Certificate of Education January 2005 Advanced Subsidiary Examination PHYSICS (SPECIFICATION A) PHA3/W Unit 3 Current Electricity and Elastic Properties of Solids Wednesday 12 January 2005 Morning Session In addition to this paper you will require:! a calculator;! a pencil and a ruler. Number 1 For Examiner s Use Mark Number Mark 2 Time allowed: 1 hour 3 4 Instructions! Use blue or black ink or ball-point pen.! Fill in the boxes at the top of this page.! Answer all questions in the spaces provided. All working must be shown.! Do all rough work in this book. Cross through any work you do not want marked. 5 6 Information! The maximum mark for this paper is 50.! Mark allocations are shown in brackets.! The paper carries 25% of the total marks for Physics Advanced Subsidiary and carries 12 1 2 % of the total marks for Physics Advanced.! A Data Sheet is provided on pages 3 and 4. You may wish to detach this perforated sheet at the start of the examination.! You are expected to use a calculator where appropriate.! In questions requiring description and explanation you will be assessed on your ability to use an appropriate form and style of writing, to organise relevant information clearly and coherently, and to use specialist vocabulary where appropriate. The degree of legibility of your handwriting and the level of accuracy of your spelling, punctuation and grammar will also be taken into account. Total (Column 1) Total (Column 2) TOTAL Examiner s Initials PHA3/W

2 Data Sheet! A perforated Data Sheet is provided as pages 3 and 4 of this question paper.! This sheet may be useful for answering some of the questions in the examination.! You may wish to detach this sheet before you begin work.

Data Sheet 3

4

5 Answer all questions in the spaces provided. 1 In the circuit shown in Figure 1, the battery, of emf 6.0 V, has negligible internal resistance. A 6.0 V 20 Ω S 60 Ω Figure 1 (a) Calculate the current through the ammeter when the switch S is (i) open, closed. (3 marks) (b) The switch S is now replaced with a voltmeter of infinite resistance. Determine the reading on the voltmeter.......... (2 marks) 5 Turn over!

6 2 (a) The graph in Figure 2 shows the I V characteristic for a semiconductor diode. I A B O V Figure 2 In order to produce this characteristic in the laboratory, a student is given suitable apparatus, including a data logger. The output of the data logger is connected to a computer to give a visual display. (i) Draw a labelled circuit diagram of the apparatus that would be used to obtain the characteristic from O to A in Figure 2. Describe how the apparatus would be used. You may be awarded marks for the quality of written communication in your answer.

7 (iii) What change would have to be made to the circuit in order to obtain the characteristic from O to B in Figure 2? (6 marks) (b) On the axes in Figure 3 draw the characteristic for a filament lamp. I 0 V Figure 3 Explain why the I V characteristic has the shape you have drawn. You may be awarded marks for the quality of written communication in your answer............................ (5 marks) 11 Turn over!

8 3 The graph shows how the resistance, R R, of a metal resistor and the resistance, R Th, of a thermistor change with temperature. 200 resistance/ω 150 resistor 100 50 thermistor 0 0 100 200 300 temperature/ C (a) Give the values of the resistance R R and R Th at a temperature of 200 C. R R... R Th (1 mark) (b) The resistor and thermistor are connected in series to a 12 V battery of negligible internal resistance, as shown in Figure 4. 12 V A B Figure 4 (i) Calculate the voltage across the terminals AB when both the resistor and thermistor are at 200 C.

9 Assuming that the temperature of the resistor always equals the temperature of the thermistor, deduce the temperature when the voltage across the resistor equals the voltage across the thermistor. (4 marks) (c) A lamp and a switch are now connected across the terminals AB, as shown in Figure 5. The temperature of the thermistor does not change from that obtained in part (b). 12 V A S B lamp Figure 5 (i) The lamp is rated at 2.0 W at a voltage of 6.0 V. Calculate the resistance of the lamp at this rating. The switch S is now closed. Explain, without calculation, why the voltage across the thermistor will fall from the value in part (b). (4 marks) 9 Turn over!

10 4 (a) For a conductor in the form of a wire of uniform cross-sectional area, give an equation which relates its resistance to the resistivity of the material of the conductor. Define the symbols used in the equation.......... (2 marks) (b) (i) An electrical heating element, made from uniform nichrome wire, is required to dissipate 500 W when connected to the 230 V mains supply. The cross-sectional area of the wire is 8.0 10 8 m 2. Calculate the length of nichrome wire required. resistivity of nichrome = 1.1 10 6 Ω m Two heating elements, each rated at 230 V, 500 W are connected to the 230 mains supply (A) (B) in series, in parallel. Explain why only one of the circuits will provide an output of 1 kw. (6 marks) 8

11 5 A sinusoidal alternating voltage source of frequency 500 Hz is connected to a resistor of resistance 2.0 kω and an oscilloscope, as shown in Figure 6. 500 Hz 2.0 kω oscilloscope Figure 6 (a) The rms current through the resistor is 5.3 ma. Calculate the peak voltage across the resistor.......... (2 marks) (b) The settings on the oscilloscope are timebase: 250 µs per division, voltage sensitivity: 5.0 V per division. Draw on the grid, which represents the screen of the oscilloscope, the trace that would be seen....... (4 marks) Turn over! 6

12 6 (a) When determining the Young modulus for the material of a wire, a tensile stress is applied to the wire and the tensile strain is measured. (i) State the meaning of tensile stress... tensile strain... Define the Young modulus... (3 marks) (b) Figure 7 shows two wires, one made of steel and the other of brass, firmly clamped together at their ends. The wires have the same unstretched length and the same cross-sectional area. One of the clamped ends is fixed to a horizontal support and a mass M is suspended from the other end, so that the wires hang vertically. brass steel M Figure 7

13 (i) Since the wires are clamped together the extension of each wire will be the same. If E S is the Young modulus for steel and E B the Young modulus for brass, show that E S = E B F S F B, where F S and F B are the respective forces in the steel and brass wire. The mass M produces a total force of 15 N. Show that the magnitude of the force F S = 10 N. the Young modulus for steel = 2.0 10 11 Pa the Young modulus for brass = 1.0 10 11 Pa (iii) The cross-sectional area of each wire is 1.4 10 6 m 2 and the unstretched length is 1.5 m. Determine the extension produced in either wire. (6 marks) 9 QUALITY OF WRITTEN COMMUNICATION (2 marks) 2 END OF QUESTIONS Copyright 2005 AQA and its licensors. All rights reserved.