Paper 4 Nov 2000 Physics
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- Pages: 12
Centre Number
Candidate Number
Candidate Name
UNIVERSITY OF CAMBRIDGE LOCAL EXAMINATIONS SYNDICATE Joint Examination for the School Certificate and General Certificate of Education Ordinary Level
5054/4
PHYSICS PAPER 4 Alternative to Practical Thursday
2 NOVEMBER 2000
1 hour
Candidates answer on the question paper. Additional materials: Electronic calculator and/or Mathematical tables Protractor Ruler (300 mm)
TIME
1 hour
INSTRUCTIONS TO CANDIDATES Write your name, Centre number and candidate number in the spaces at the top of this page. Answer all questions. Write your answers in the spaces provided on the question paper. INFORMATION FOR CANDIDATES The number of marks is given in brackets [ ] at the end of each question or part question.
FOR EXAMINER’S USE 1 2 3 4 5 TOTAL
This question paper consists of 8 printed pages and 4 blank pages. MML LOC 2122 4/99 QK07965 © UCLES 2000
[Turn over
2 1
For Examiner’s Use
Fig. 1.1 shows a micrometer screw gauge set to measure the diameter of a steel ball.
0 5 mm
0 45 40
sleeve
Fig. 1.1 (a) The micrometer measures to the nearest 1/100th of a millimetre. Write down the value of 1 cm + 1/100th of a millimetre as a decimal, and using the unit mm. 1 cm + 1/100th mm = ................................ mm
[1]
(b) The upper scale is calibrated in millimetres. The lower scale is marked so that its divisions are half-way between the millimetres on the upper scale. On the sleeve, there are 50 equally spaced divisions. When the sleeve turns once as indicated on Fig. 1.1, the sleeve moves 0.5 mm to the right. Explain how you know that the reading of the gauge in Fig. 1.1 is 7.94 mm.
.......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [3] (c) Explain how you would find out whether the gauge has a zero error. .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [2] 5054/4 W00
3 2
A ray of light passes through a glass prism. The path of the ray is located by using four pins.
For Examiner’s Use
In Fig. 2.1, a ray is incident on the side of an equilateral prism. Two optical pins P1 and P2 are used to mark the path of this incident ray. Two more pins P3 and P4 are used to locate the path of the emergent ray. (a) On Fig. 2.1, (i) draw neat and thin lines to show the path of the incident ray and the path of the emergent ray (label both lines), (ii) draw a line to show the path of the refracted ray through the glass (label this line). [2]
P2 P3
P1
P4
Fig. 2.1 (b)
(i) On Fig. 2.1, draw a normal at the point of incidence and also at the point of emergence. Make your line for each normal at least 6 cm in length. (ii) Measure 1.
the angle of incidence, angle of incidence = ....................
2.
the angle of emergence, (this is the angle between the emergent ray and the normal at the point of emergence). angle of emergence = .................
(iii) Give a reason for making the length of each normal at least 6 cm. .................................................................................................................................. [4]
5054/4 W00
[Turn over
4 3
(a)
(i) Explain what is meant by the mark “ °C ” at the upper end of a thermometer. Your answer should refer to the two fixed points of the thermometer. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. (ii) State one precaution, other than avoiding parallax error, that you should take when using a school laboratory thermometer, to ensure accurate measurement of temperature. .................................................................................................................................. .................................................................................................................................. [3]
(b) Part of a thermometer is shown in Fig. 3.1. This is a full-scale diagram.
30
40
50
60
part of the thermometer reading in °C Fig. 3.1 Complete the following sentences about using the thermometer. The smallest division on the scale represents a temperature change of ......................... The smallest change in temperature which could be estimated is .................................. The position of the mercury meniscus may be estimated to be ....................................... [3]
5054/4 W00
For Examiner’s Use
5 BLANK PAGE
5054/4 W00
[Turn over
6 4
Fig. 4.1 shows a wooden metre rule suspended from a horizontal pivot that passes through a small hole in the rule.
pivot (through a hole)
d
centre of mass C
mark on metre rule direction of swing reference line Fig. 4.1 The rule is displaced as shown and, when released, swings freely. The time t, for at least 10 oscillations, is measured. The time T, for one complete oscillation, is calculated using the values for t and the number N of oscillations. The procedure is repeated and an average value TAV for T is obtained. The distance d, between the pivot and the centre of mass C, is measured. The experiment is repeated for different values of d. (a) Draw up a table in which you can record the experimental values for N, t, T, TAV and d.
[2] (b) State the relation between t, N and T. relation ............................
[1]
(c) At the bottom of the rule, a short mark is made along the centre line of the rule, as shown in Fig. 4.1. Before swinging the rule, a vertical reference line is placed below this short line on the rule. Explain why the stopwatch is started and is stopped as the mark on the rule passes the vertical reference line. In your answer, refer to the speed of the bottom of the rule. .......................................................................................................................................... .................................................................................................................................... [1] 5054/4 W00
For Examiner’s Use
7
For Examiner’s Use
(d) The graph of TAV / s against d / cm is a curved line, as shown in Fig. 4.2.
6
TAV / s 5
4
3
2
1.5 0
5
10
15
20
25
30
35
40
45
50
d / cm Fig. 4.2 (i) At what value of d does TAV have a minimum value? d = ........................... (ii) Estimate the value of d when TAV = 6.0 s. estimate of d = .......................................................................................................... [2] 5054/4 W00
[Turn over
8 5
This experiment compares the resistance per metre of two wires labelled P and Q in Fig. 5.1.
P
Q
B +
V
– jockey
A
C
l
slide wire switch
Fig. 5.1 Both P and Q are made of the same material. The lengths LP of P and LQ of Q are measured and found to be LP = 500 mm, LQ = 640 mm. The jockey (sliding contact) is placed so that the length l of the slide wire AC is 900 mm. The potential difference V between B and C is read from the voltmeter. A further three sets of readings for l and V are taken. The values for l are between 800 mm and 400 mm. The voltmeter connections are now reversed and the experiment repeated for three sets of readings for l between 300 mm and 0 (zero). These readings are shown as negative readings in the row of values for V. The readings taken are given in the table. l / mm
0
100
300
400
580
750
900
V / volts
–0.71
–0.51
–0.11
0.10
0.47
0.80
1.09
(a) Plot the graph of V / V (y-axis) against l / mm (x-axis). Scale your graph so that the V-axis starts at –0.80 V and ends at +1.4 V. Remember that the values will go from –0.80 V to 0 and then up to +1.4 V. Also scale your graph so that the l-axis starts at 0 and ends at 1000 mm. Draw the most appropriate line through the plotted points. [4] (b) From the graph, determine (i) the value V0 for V at l = 0,
V0 = ......................
(ii) the value V1 for V at l = 1.00 m (1000 mm).
V1 = ......................
[1]
(c) Calculate a value for the ratio r of the resistance per metre of the wires P and Q using the equation V1 x 500 r = –––––––– . –V0 x 640 r = ..................
[1] 5054/4 W00
For Examiner’s Use
9
5054/4 W00
10 BLANK PAGE
5054/4 W00
11 BLANK PAGE
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12 BLANK PAGE
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Candidate Number
Candidate Name
UNIVERSITY OF CAMBRIDGE LOCAL EXAMINATIONS SYNDICATE Joint Examination for the School Certificate and General Certificate of Education Ordinary Level
5054/4
PHYSICS PAPER 4 Alternative to Practical Thursday
2 NOVEMBER 2000
1 hour
Candidates answer on the question paper. Additional materials: Electronic calculator and/or Mathematical tables Protractor Ruler (300 mm)
TIME
1 hour
INSTRUCTIONS TO CANDIDATES Write your name, Centre number and candidate number in the spaces at the top of this page. Answer all questions. Write your answers in the spaces provided on the question paper. INFORMATION FOR CANDIDATES The number of marks is given in brackets [ ] at the end of each question or part question.
FOR EXAMINER’S USE 1 2 3 4 5 TOTAL
This question paper consists of 8 printed pages and 4 blank pages. MML LOC 2122 4/99 QK07965 © UCLES 2000
[Turn over
2 1
For Examiner’s Use
Fig. 1.1 shows a micrometer screw gauge set to measure the diameter of a steel ball.
0 5 mm
0 45 40
sleeve
Fig. 1.1 (a) The micrometer measures to the nearest 1/100th of a millimetre. Write down the value of 1 cm + 1/100th of a millimetre as a decimal, and using the unit mm. 1 cm + 1/100th mm = ................................ mm
[1]
(b) The upper scale is calibrated in millimetres. The lower scale is marked so that its divisions are half-way between the millimetres on the upper scale. On the sleeve, there are 50 equally spaced divisions. When the sleeve turns once as indicated on Fig. 1.1, the sleeve moves 0.5 mm to the right. Explain how you know that the reading of the gauge in Fig. 1.1 is 7.94 mm.
.......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [3] (c) Explain how you would find out whether the gauge has a zero error. .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [2] 5054/4 W00
3 2
A ray of light passes through a glass prism. The path of the ray is located by using four pins.
For Examiner’s Use
In Fig. 2.1, a ray is incident on the side of an equilateral prism. Two optical pins P1 and P2 are used to mark the path of this incident ray. Two more pins P3 and P4 are used to locate the path of the emergent ray. (a) On Fig. 2.1, (i) draw neat and thin lines to show the path of the incident ray and the path of the emergent ray (label both lines), (ii) draw a line to show the path of the refracted ray through the glass (label this line). [2]
P2 P3
P1
P4
Fig. 2.1 (b)
(i) On Fig. 2.1, draw a normal at the point of incidence and also at the point of emergence. Make your line for each normal at least 6 cm in length. (ii) Measure 1.
the angle of incidence, angle of incidence = ....................
2.
the angle of emergence, (this is the angle between the emergent ray and the normal at the point of emergence). angle of emergence = .................
(iii) Give a reason for making the length of each normal at least 6 cm. .................................................................................................................................. [4]
5054/4 W00
[Turn over
4 3
(a)
(i) Explain what is meant by the mark “ °C ” at the upper end of a thermometer. Your answer should refer to the two fixed points of the thermometer. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. (ii) State one precaution, other than avoiding parallax error, that you should take when using a school laboratory thermometer, to ensure accurate measurement of temperature. .................................................................................................................................. .................................................................................................................................. [3]
(b) Part of a thermometer is shown in Fig. 3.1. This is a full-scale diagram.
30
40
50
60
part of the thermometer reading in °C Fig. 3.1 Complete the following sentences about using the thermometer. The smallest division on the scale represents a temperature change of ......................... The smallest change in temperature which could be estimated is .................................. The position of the mercury meniscus may be estimated to be ....................................... [3]
5054/4 W00
For Examiner’s Use
5 BLANK PAGE
5054/4 W00
[Turn over
6 4
Fig. 4.1 shows a wooden metre rule suspended from a horizontal pivot that passes through a small hole in the rule.
pivot (through a hole)
d
centre of mass C
mark on metre rule direction of swing reference line Fig. 4.1 The rule is displaced as shown and, when released, swings freely. The time t, for at least 10 oscillations, is measured. The time T, for one complete oscillation, is calculated using the values for t and the number N of oscillations. The procedure is repeated and an average value TAV for T is obtained. The distance d, between the pivot and the centre of mass C, is measured. The experiment is repeated for different values of d. (a) Draw up a table in which you can record the experimental values for N, t, T, TAV and d.
[2] (b) State the relation between t, N and T. relation ............................
[1]
(c) At the bottom of the rule, a short mark is made along the centre line of the rule, as shown in Fig. 4.1. Before swinging the rule, a vertical reference line is placed below this short line on the rule. Explain why the stopwatch is started and is stopped as the mark on the rule passes the vertical reference line. In your answer, refer to the speed of the bottom of the rule. .......................................................................................................................................... .................................................................................................................................... [1] 5054/4 W00
For Examiner’s Use
7
For Examiner’s Use
(d) The graph of TAV / s against d / cm is a curved line, as shown in Fig. 4.2.
6
TAV / s 5
4
3
2
1.5 0
5
10
15
20
25
30
35
40
45
50
d / cm Fig. 4.2 (i) At what value of d does TAV have a minimum value? d = ........................... (ii) Estimate the value of d when TAV = 6.0 s. estimate of d = .......................................................................................................... [2] 5054/4 W00
[Turn over
8 5
This experiment compares the resistance per metre of two wires labelled P and Q in Fig. 5.1.
P
Q
B +
V
– jockey
A
C
l
slide wire switch
Fig. 5.1 Both P and Q are made of the same material. The lengths LP of P and LQ of Q are measured and found to be LP = 500 mm, LQ = 640 mm. The jockey (sliding contact) is placed so that the length l of the slide wire AC is 900 mm. The potential difference V between B and C is read from the voltmeter. A further three sets of readings for l and V are taken. The values for l are between 800 mm and 400 mm. The voltmeter connections are now reversed and the experiment repeated for three sets of readings for l between 300 mm and 0 (zero). These readings are shown as negative readings in the row of values for V. The readings taken are given in the table. l / mm
0
100
300
400
580
750
900
V / volts
–0.71
–0.51
–0.11
0.10
0.47
0.80
1.09
(a) Plot the graph of V / V (y-axis) against l / mm (x-axis). Scale your graph so that the V-axis starts at –0.80 V and ends at +1.4 V. Remember that the values will go from –0.80 V to 0 and then up to +1.4 V. Also scale your graph so that the l-axis starts at 0 and ends at 1000 mm. Draw the most appropriate line through the plotted points. [4] (b) From the graph, determine (i) the value V0 for V at l = 0,
V0 = ......................
(ii) the value V1 for V at l = 1.00 m (1000 mm).
V1 = ......................
[1]
(c) Calculate a value for the ratio r of the resistance per metre of the wires P and Q using the equation V1 x 500 r = –––––––– . –V0 x 640 r = ..................
[1] 5054/4 W00
For Examiner’s Use
9
5054/4 W00
10 BLANK PAGE
5054/4 W00
11 BLANK PAGE
5054/4 W00
12 BLANK PAGE
5054/4 W00
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