INSTRUCTIONS TO CANDIDATES
 Write your name and your index number in the spaces provided above.
 This paper consists of two sections A and B
 Answer all questions in section A and B in the space provided
 All working must be shown in the spaces provided in this booklet.
 Mathematical tables and silent electronic calculators may be used
FOR OFFICIAL USE
Question 1 
a 
c 
e 
f 
G 
h 
I 
j 
m 
n 

Max score 
2 
2 
1 
2 
1 
2 
2 
2 
5 
2 

Cand score 
Question 2 
b 
c 
5 
E 
F 
g 
h 
j 

2 
5 
5 
2 
2 
1 
2 
1 

QUESTIONS
Question one
You are provided with the following:
 A micrometer screw gauge (to be shared)
 A vernier calliper (to be shared)
 Glass tube
 A wire labelled M
 Some cello tape
 One 50 g mass
 Some masses totalling 40g
 A meter rule
 100 ml beaker
 A stand boss and clamp
 A stop watch
 Candle
 A screen
 Some water
 measuring cylinder
PART A
Proceed as follows
 Using a micrometer screw gauge , measure and record the diameter of the wire labelled M (2 mark)
d= ……………………………………… mm
d=………………………………………m  Using wire M make a spring as follows :
 Use some sellotape to fix one end of the wire M (about 2.5 cm) along the glass tube ;
 Hold firmly the part of the wireunder the tape with one hand. Use the other hand to wind 30 turns as closely and tightly as possible (see figure 1)
 Remove the sellotape and release the spring from the tube
(The spring will slightly unwind and some turns will disappear)
Bend the free ends as shown in figure 2  Using a vernier callipers , measure and record the external diameter d of the spring (2 mark)
D = ……………………………..cm
D= ………………………………m  suspend the spring and a 50g mass from a retort stand as shown in figure 3
Count and record the number of turns Nof the suspended spring (1mark)
N =………………………..  Add 40g to the 50g record the extension X of the spring (2mark)
X =……………………….. cm
X =…………………….. m  Determine c given that(1mark)
C= 0.4
x  Determinen given that (2marks)
C = nd^{4}
8ND^{3}  With the spring still loaded with the 90g, pull the lower mass slightly downwards and let go so that the mass oscillates vertically. Record the time t for 20 oscillations. Hence determine the period T
t= ……………………………… (s) (1mark)
T =……………………………… (s) (1mark)  Determine Z given that
T =2π√(m)
(z)
Where m is the mass in kg on the spring (2 marks)
PART B
 You are provided with the following:
 A candle
 Metre rule
 White screen
 Lens holder
 Convex lens
Proceed as follows:
(k)Place the lens on a metre rule. Arrange the set up as shown in the figure 4 below.
(l) Adjust the position of the lens so that it is a distance u = 30cm from the candle. Adjust the position of the screen until a well focused image of the flame is formed on the screen. Measure and record in the table 2, the image distance v, between the screen and lens.
(m) Repeat part (b) for other values of (u) shown in the table 1 and complete the table.
u (cm) 
30 
35 
40 
v (cm) 

x = v 

y = v 
(5mks)
(n) Determine the mean value of y (2marks)
Question 2
PART A
You are provided with the following apparatus
 A voltmeter
 An ammeter
 A wire x mounted on a metre rule
 8 connecting wires with crocodile clips
 Micrometer screw gauge
 A switch
 A jockey
 One new dry cell and a cell holder.
Proceed as follows:
 Connect the apparatus provided as shown in the circuit in figure 5 below.
 With the crocodile clip at L = 10 cm , close the switch S and record the ammeter and voltmeter reading.
I =....................................................... (1 mark)
V =..................................................... (1mark )  Repeat the procedure in (b) for other values of l = 10cm, 20cm, 30cm, 40cm, 50cm and 60 and recordthe readings in the table 2 below below. ( 5marks)
Length. L. (cm)
10
20
30
40
50
60
Voltmeter reading , V (volts)
Ammeter reading , I(A)
 Plot a graph of potential difference, V(yaxis) against the Current I .(5 marks)
 Determine the slope of the graph (2marks)
 Given that V= E – I r, use your graph to determine the value of;
 E (1mk)
 r (1mks)
 Measure the diameter d of the wire x using the micrometer screw gauge. (1 mark)
d =............................................ mm
D.................................................m  Dismantle the apparatus and set up the circuit as shown figure 6 below.
 Close the switch S and record the ammeter and the voltmeter readings (1mark)
I =....................................................................
V =................................................................
Hence find R, the resistance of the wire x.
R = ............................................................ (1mk)  Given that R = 4p
πd^{2}
determine p (2 mks)
INSTRUCTIONS TO CANDIDATES
 Write your name and your index number in the spaces provided above.
 This paper consists of two sections A and B
 Answer all questions in section A and B in the space provided
 All working must be shown in the spaces provided in this booklet.
 Mathematical tables and silent electronic calculators may be used
FOR OFFICIAL USE
Question 1 
a 
c 
e 
f 
G 
h 
I 
j 
m 
n 

Max score 
2 
2 
1 
2 
1 
2 
2 
2 
5 
2 

Cand score 
Question 2 
b 
c 
5 
E 
F 
g 
h 
j 

2 
5 
5 
2 
2 
1 
2 
1 

MARKING SCHEME
Question one
You are provided with the following:
 A micrometer screw gauge (to be shared)
 A vernier calliper (to be shared)
 Glass tube
 A wire labelled M
 Some cello tape
 One 50 g mass
 Some masses totalling 40g
 A meter rule
 100 ml beaker
 A stand boss and clamp
 A stop watch
 Candle
 A screen
 Some water
 measuring cylinder
PART A
Proceed as follows
 Using a micrometer screw gauge , measure and record the diameter of the wire labelled M (2 mark)
d= 0.35 ±0.02 mm ½ mark each
d=0.00035 …m ½ mark each  Using wire M make a spring as follows :
 Use some sellotape to fix one end of the wire M (about 2.5 cm) along the glass tube ;
 Hold firmly the part of the wireunder the tape with one hand. Use the other hand to wind 30 turns as closely and tightly as possible (see figure 1)
 Remove the sellotape and release the spring from the tube
(The spring will slightly unwind and some turns will disappear)
Bend the free ends as shown in figure 2  Using a vernier callipers , measure and record the external diameter d of the spring (2 mark)
D = ...0.81 ±0.2 cm ½ merk eachg
D= …0.0084m  suspend the spring and a 50g mass from a retort stand as shown in figure 3
Count and record the number of turns Nof the suspended spring (1mark)
N =………………………..25 ± 2  Add 40g to the 50g record the extension X of the spring (2mark)
X = 2.3 ±2cm 1 dp amust
X =0.023 ±. M correct evaluation  Determine c given that(1mark)
C= 0.4
x
½ correct evaluation
½ four significant figures  Determinen given that (2marks)
C = nd^{4}
8ND^{3}Correct substitution 1 mark
Correct evaluation 1 mark ignore units  With the spring still loaded with the 90g, pull the lower mass slightly downwards and let go so that the mass oscillates vertically. Record the time t for 20 oscillations. Hence determine the period T
t= 8.84 ±0.5 (s) 2dp (1mark)
T = 0.442 ± (s) corr eva (1mark)  Determine Z given that
T =2π√(m)
(z)
Where m is the mass in kg on the spring (2 marks)
Correct sub 1 mark
Correc eval ( atleast 4sf) 1 mark
PART B
 You are provided with the following:
 A candle
 Metre rule
 White screen
 Lens holder
 Convex lens
Proceed as follows:
(k)Place the lens on a metre rule. Arrange the set up as shown in the figure 4 below.
(l) Adjust the position of the lens so that it is a distance u = 30cm from the candle. Adjust the position of the screen until a well focused image of the flame is formed on the screen. Measure and record in the table 2, the image distance v, between the screen and lens.
(m) Repeat part (b) for other values of (u) shown in the table 1 and complete the table.
u (cm) 
30 
35 
40 
v (cm)( each correc i mark 
27.0 ± 2 
22.0 ± 2 
20.0 ± 2 1 dp a must 
x = v 
Correct sub 
All correct 
1 mark 
y = v 
Correct eval 
1mark 
(5mks)
(n) Determine the mean value of y (2marks)
Correct sub 1 mark
Correct evaluation 1 mark
Question 2
PART A
You are provided with the following apparatus
 A voltmeter
 An ammeter
 A wire x mounted on a metre rule
 8 connecting wires with crocodile clips
 Micrometer screw gauge
 A switch
 A jockey
 One new dry cell and a cell holder.
Proceed as follows:
 Connect the apparatus provided as shown in the circuit in figure 5 below.
 With the crocodile clip at L = 10 cm , close the switch S and record the ammeter and voltmeter reading.
I =.......0.14 ± 0.02 (1/2 mark)
V =........0.25 ±0.05 (1/2 mark )  Repeat the procedure in (b) for other values of l = 10cm, 20cm, 30cm, 40cm, 50cm and 60 and recordthe readings in the table 2 below below. ( 5marks)
Length. L. (cm)
10
20
30
40
50
60
Voltmeter reading , V (volts) (1/2 each)
0.25
0.20
0.15
0.12
0.1
0.1
Ammeter reading , I(A) (1/2 each)
0.14
0.12
0.10
0.10
0.08
0.07
 Plot a graph of potential difference, V(yaxis) against the Current I .(5 marks)
 Determine the slope of the graph (2marks)
 Given that V= E – I r, use your graph to determine the value of;
 E (1mk)
 r (1mks)
 Measure the diameter d of the wire x using the micrometer screw gauge. (1 mark)
d =....0.25 ±0.05 mm ½ mark
D...................m correct conversion  Dismantle the apparatus and set up the circuit as shown figure 6 below.
 Close the switch S and record the ammeter and the voltmeter readings (1mark)
I =...0.06 ± 0.021/2 mark each
Hence find R, the resistance of the wire x.
V =...............1.20 ± 0.05
R = ..................Ω sub (1mk)  Given that R = 4p
πd^{2}
determine p (2 mks)
su 1 mark
evaluation 1 mark
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