- Answer all the questions in the spaces provided in the question paper.
- You are supposed to spend the first 15 minutes of the 2 ½ hours allowed for this paper reading the whole paper carefully before commencing your work.
- Marks are given for a clear record of the 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.
- You are provided with the following apparatus:-
- Two meter rules
- Two stands and two clamps
- Two bosses
- Three pieces of thread (at least 30cm each)
- One optical pin
- A piece of cello tape and a plasticine
- A spiral spring
- One mass of 200g
- One stop watch
- Set the apparatus as shown in the diagram 1. Below ;Attach the pin (to act as the pointer)at one end of the meter –rule using cellotape or plasticine;
- Suspend one end of the metre –rule with thread at 5cm mark from the end .
- Suspend the other end with a spring also 5cm from the end so that metre rule is horizontal.
- Hold the other rule (with the spring)vertical on the beneath so that it is near the end with a pointer as shown in the diagram.
- Read the pointer position .Lo=…………………………….cm, (1mk)
- Hang on the horizontal l metre rule, the 200g mass at a length, L =10cm from the spring.
Record the extension, e of the spring in the table below. - Displace the mass slightly downwards and release it to oscillate vertically. Take time for 20 oscillations and record in the table below.
- Repeat for other position of L, of the mass.
N/B before taking the reading, ensure the oscillation is steady. (8mks)
L(cm) Extension e(cm) Time (+) for 20 oscillation Periodic table T(s) T2(s2) 10.0 20.030.040.050.0 - On the grid provided plot a graph of extension, e (m) y-axis against T2(s2)(5
- Calculate the gradient of the graph drawn (3mks)
- Given that e = RT2 +C , determine the value of R (3mks)
4π2
- Set the apparatus as shown in the diagram 1. Below ;Attach the pin (to act as the pointer)at one end of the meter –rule using cellotape or plasticine;
- You are provided with the following
- An ammeter
- A voltmeter
- Two dry cells size D
- A mounted resistance wire on a metre-rule or millimeter scale
- A bulb on bulb holder
- A cell holder
- A switch
- A jockey or crocodile clip
- Micrometre screw gauge (can be shared)
-
- Connect the apparatus provided as shown in the circuit diagram below diagram 2.
- With the crocodile clip at P take the voltmeter reading and the ammeter reading, Record V and I, Repeat the readings for L=80,60,40,20 and 0, respectively.
Complete the table below. (4mks)
Length l(cm) Voltage v(v) Current I(A) 100 806040200 - What changes do you observe on the bulb as L decreases from P? (1mk)
- On the grid provided plot the graph of Ammeter reading (y-axis) against voltmeter reading.(5mks)
- Determine the slope of your graph at v =1volt. (3mks)
- What physician quantity is represented by the slope of the graph at the point in (v)above (1mk)
- Connect the apparatus provided as shown in the circuit diagram below diagram 2.
-
- Given the apparatus in a (i) above, draw a diagram of the circuit you would use to determine the current through the resistance wire and potential differences across it .(1mk)
- Set up the circuit you have drawn using the available apparatus in a(i) above.
Record the ammeter reading I and voltmeter reading v, when L =100cm. (2mks)
V =………………………………………
I = ……………………………………… - Using a micrometer screw gauge provided, measure the diameter d of the wire.(1mk)
- Calculate the quantity P = 0.785 (V/I) (d/L)2 and give its SI units, where L is IM.(2mks)
-
CONFIDENTIAL
- Each candidate should be provided with the following set of apparatus.
Question one
- Two meter- rulers
- Two stand
- Two bosses
- Two clamps
- Three pieces of thread 30cm each.
- A piece of celltape or plastic line
- One mass of 200g
- A stop watch
- Spiral spring of length (4-6cm), diameter 1cm
Question two
- Two dry cells size D 1.5v each
- One bulb 2.5-3.0 volts
- Voltmeter (0 - 3v or 0 - 2.5v)
- Ammeter (0 - 2.5A)
- A switch
- Seven connecting wires (at least two with crocodile clips)
- Nichrome wire 325WG mounted on a meter rule or millimeter scale.
- Micrometer screw gauge (to be share)
MARKING SCHEME
1. (e) Lo = 56.0cm (It may depend on its position the student tied the meter – rule)
(h)
L(cm) | Extension e(cm) | Time (+) for 20 oscillation | Periodic table T(s) | T2(s2) |
10.0
20.0
30.0
40.0
50.0
|
8.8
7.7
6.6
5.6
4.5
|
12.22
11.21
10.12
9.15
8.20
|
0.611
0.561
0.506
0.458
0.410
|
0.37
0.31
0.26
0.21
0.17
|
(i) Graph
- Axes with scale ✔✔2
- Plot 4-5 corr ✔✔2
- Plot 3 corr ✔1
- Best line ✔1
(j) Gradient = Δe
ΔT2
= (4.3 − 1.4) × 10−2
(1.5 − 0) × 10−1
= 0.19m/s2 ± 0.05
(k) C = O
Gradient = R
4π2
R = 1.9 × 4 × 3.142 × 3.142
= 75.028m/s2
2. a) (ii)
Length l(cm) | Voltage v(v) | Current I(A) |
100
80
60
40
20
0
|
0.25 0.45 0.55 1.75 1.15 1.60 |
0.12 0.14 0.15 0.16 0.18 0.21 |
- Axes ✔1
- Scale ✔1
- Plot 4-5 corr ✔✔1
- Plot 2-3 corr ✔1
- Curve ✔1
(v) Tangent at v = 1 volt✔1
0.16 − 0.14
1.4 − 0.3
Slope of tangent = 0.018Ω−1
(iv) p = 0.785 × (1.8) × (3.6 × 10−4)2
( 0.14) 1
= 1.308 × 10−6 ΩM
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