Instructions to candidates
 Answer all the questions
 You are supposed to spend the first 15 minutes of the 2 ½ hours provided for this paper reading the whole paper carefully before commencing your work.
 Marks are given for clear record of observations actually made, their suitability, accuracy and the use made of them.
 Candidates are advised to record their observations as soon as they are made
 Non programmable silent electronic calculators and KNEC mathematical tables may be used.
 Candidates should answer the questions in English.
FOR EXAMINERS USE ONLY
Question 
Maximum score 
Candidate’s Score 
1 
20 

2 
20 

Grand Total 
40 

QUESTIONS
Question 1
You are provided with the following apparatus:
 A block of wood with a hook and scale(interval 0.5 cm) attached to one of its long face
 A spring balance
 A half meter rule
 Beaker
 Liquid ‘L’ in a beaker
 A piece of string
 A stand, a boss and a clamp
Proceed as follows:

 Measure the length and width of the face of the block labeled “B”
Length………………………………………………….. (1 mark)
Width………………………………………………….,. (1 mark)  Determine the area of the face “B” of the block.
A=……………………………………………………….. (1 mark)
 Measure the length and width of the face of the block labeled “B”
 Make the block stand inside the empty beaker with its longest side vertical as shown below.
 Raise the spring balance until the block is not touching the bottom of the beaker. Fix the spring balance and record its reading in the table 1 below. (for h =0)
Depth, h,(cm)
0
0.5
1.0
1.5
2.0
2.5
Spring balance reading ‘F’ (N)
 Pour Liquid ‘L’ gently into the beaker until the depth ‘h’ is equal to 0.5cm. Read the spring balance and record the value in the table above
 Repeat the procedure above for the value of ‘h’ given in the table 1 and fill in the corresponding values read on the spring balance, F. (3 marks)
 Plot a graph of F (y axis) against h. (5 marks)
 Determine the slope, M of the graph (3 marks)

 Determine the value of B from the expression: (3 marks)
 State the SI unit of B (1 mark)
 State the effect of raising the temperature of liquid ‘L’ on the value of B calculated in h (i) above (2 marks)
 Determine the value of B from the expression: (3 marks)
Question 2
This question is in two parts
PART A
You are provided with the following apparatus
 Two dry cells and a cell holder
 One ammeter
 One voltmeter
 Resistance wire mounted on a millimeter scale
 A switch
 Connecting wires
Proceed as follows
 Set up a circuit as shown in the figure below
 Close the switch ‘S’ and adjust the end X of wire until the voltmeter reads a maximum value for example 2.7 volts. (if 2.7 volts is not obtainable, take the maximum possible value and insert it in the table in place of 2.7 volts). Read and record the values of V and the corresponding value of I in the table then open the switch.
 Repeat the procedure in (b) above for other values in the table. Complete the table (3 marks)
V(volts)
2.7
2.5
2.3
2.0
1.8
1.6
I (A)
0.18
0.22
0.28
0.50
0.65
0.84
+ 0.05 (2 d.p a must) Each ^{1}/_{2} mark
 Plot a graph of V(yaxis) against I (5 marks)
Graph
Axes Both axes must be labeled with correct units award 1 mark
Scale simple, uniform and appropriate award 1 mark
Plotting points must be correctly plotted within one small square. Award 1/2 mark to each correctly plotted points to a maximum of 4 points total 2 marks
Line must pass through 3 correctly plotted points with a negative gradient 1 mark  From the graph, determine the internal resistance r and the e.m.f ,E, of the battery given that E= V+ rI.
 R (3 marks)
r=slope award 1 mark
Intervals of V and I award 1 mark
r correctly evaluated to 4 s.f. in Ω award 1 mark  E (1 mark)
E= V intercept to 1 d.p. read from the student’s graph. Award 1 mark
 R (3 marks)
PART B
You are provided with the following
 A candle
 A lens and a lens holder
 A screen
 A meterrule
 Set up apparatus as shown below. Ensure that the candle flame and the lens are approximately the same height above the bench
 Set the position of the lens so that it is 40cm from the candle. (U= 40cm). Adjust the position of the screen until a sharp image of the candle is obtained. Measure the distance V between the lens and the screen. Record the value of V in the table below.
 Repeat the procedure in c above for the other values of u in the table below. Complete the table
U (cm)
40
45
50
V (cm)
25.5
24.0
22.1
+2.0 (1 d.p. a must), each 1 mark
Magnification (M=V/U)
Correct evaluation to 4 s.f or exact. All correct 1 mark
 Given that
Where f is the focal length of the lens, use the results in the table to determine, y, the mean value of f.
f1=……………………………………………………………………………………. (1mark)
f2=……………………………………………………………………………………….(1mark)
f3=……………………………………………………………………………………….(1mark)
y =………………………………………………….…………………………..(1mark)
MARKING SCHEME
Question 1
You are provided with the following apparatus:
 A block of wood with a hook and scale(interval 0.5 cm) attached to one of its long face
 A spring balance
 A half meter rule
 Beaker
 Liquid ‘L’ in a beaker
 A piece of string
 A stand, a boss and a clamp
Proceed as follows:

 Measure the length and width of the face of the block labeled “B”
Length= 4.0 cm ± 0.2 (1 d.p a must) award 1 mark with unit in cm,
penalize 1/2 mark for missing unit, penalize fully for wrong unit.
Width=4.0 cm ± 0.2 (1 d.p a must) award 1 mark with unit in cm,
penalize 1/2 mark for missing unit, penalize fully for wrong unit.  Determine the area of the face “B” of the block.
A= exact evaluation of area in cm^{2} or m^{2} using the student values in (i)(ii)—award 1 mark (1 mark)
 Measure the length and width of the face of the block labeled “B”
 Make the block stand inside the empty beaker with its longest side vertical as shown below.
 Raise the spring balance until the block is not touching the bottom of the beaker. Fix the spring balance and record its reading in the table 1 below. (for h =0)
Depth, h,(cm)
0
0.5
1.0
1.5
2.0
2.5
Spring balance reading ‘F’ (N)
0.70
0.55
0.45
0.40
0.35
0.30
Each ^{1}/_{2} mark
Conditions
 The value under depth, h=0 should be the largest( it is the weight of the block)
 The trend should be decreasing with the largest interval between the value under h=0 and h=0.5cm
 Repeated values are treated as one.
 The range of the value under h= 0 is ± 0.2 N. Otherwise mark accordingly.  Pour Liquid ‘L’ gently into the beaker until the depth ‘h’ is equal to 0.5cm. Read the spring balance and record the value in the table above
 Repeat the procedure above for the value of ‘h’ given in the table 1 and fill in the corresponding values read on the spring balance, F. (3 marks)
 Plot a graph of F (y axis) against h. (5 marks)
Graph
 Axes Both axes must be labeled with correct units award 1 mark
 Scale simple, uniform and appropriate award 1 mark
 Plotting points must be correctly plotted within one small square. Award 1/2 mark to each correctly plotted points to a maximum of 4 points total 2 marks
 Line must pass through 3 correctly plotted points with a negative gradient 1 mark  Determine the slope, M of the graph (3 marks)
 No line mark, no slope
 Correct interval of change in F 1 mark
 Correct interval of change in h 1 mark
 Correct evaluation of M to 4 s.f. in Ncm^{1} or –Nm^{1} 
 Determine the value of B from the expression: (3 marks)
 State the SI unit of B (1 mark)
 Correct substitution of M, A and g award 1 mark NOTE: Area, A must be substituted in m2
 Correct evaluation of B to 4 s.f. award 1 mark
 Correct units in either gcm3 of kgm3 award 1 mark  State the effect of raising the temperature of liquid ‘L’ on the value of B calculated in h (i) above (2 marks)
The value of B decreases……award 2 marks
 Determine the value of B from the expression: (3 marks)
Question 2
This question is in two parts
PART A
You are provided with the following apparatus
 Two dry cells and a cell holder
 One ammeter
 One voltmeter
 Resistance wire mounted on a millimeter scale
 A switch
 Connecting wires
Proceed as follows
 Set up a circuit as shown in the figure below
 Close the switch ‘S’ and adjust the end X of wire until the voltmeter reads a maximum value for example 2.7 volts. (if 2.7 volts is not obtainable, take the maximum possible value and insert it in the table in place of 2.7 volts). Read and record the values of V and the corresponding value of I in the table then open the switch.
 Repeat the procedure in (b) above for other values in the table. Complete the table (3 marks)
V(volts)
2.7
2.5
2.3
2.0
1.8
1.6
I (A)
 Plot a graph of V(yaxis) against I (5 marks)
 From the graph, determine the internal resistance r and the e.m.f ,E, of the battery given that E= V+ rI.
 R (3 marks)
 E (1 mark)
PART B
You are provided with the following
 A candle
 A lens and a lens holder
 A screen
 A meterrule
 Set up apparatus as shown below. Ensure that the candle flame and the lens are approximately the same height above the bench
 Set the position of the lens so that it is 40cm from the candle. (U= 40cm). Adjust the position of the screen until a sharp image of the candle is obtained. Measure the distance V between the lens and the screen. Record the value of V in the table below.
 Repeat the procedure in c above for the other values of u in the table below. Complete the table
U (cm)
40
45
50
V (cm)
Magnification (M=V/U)
 Given that
Where f is the focal length of the lens, use the results in the table to determine, y, the mean value of f.
f_{1}_{=} correct substitution of V and M and evaluation to 4 sf or exact in cm….award 1 mark
f_{2}_{=} correct substitution of V and M and evaluation to 4 sf or exact in cm….award 1 mark
f_{3}_{=} correct substitution of V and M and evaluation to 4 sf or exact in cm….award 1 mark
y _{= }principle of averaging must be shown and units must be in cm award 1 mark
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