- Answer all the questions in the spaces provided in this question paper.
- You are supposed to spend the first 15 minutes of the 2 ½ hrs allowed for this paper reading the whole paper carefully before commencing your work.
- Marks will be given for 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.
Question 1 (20 marks)
You are provided with the following
- Two dry cell
- One bulb
- Voltmeter (0 – 3V)
- Ammeter (0 – 1A)
- Amounted nicrome wire mounted on a millimeter scale
- Switch
- Seven connecting wire at least two with crocodile clips
- Micrometer screw gauge
Proceed as follows:
-
- Set up the circuit as shown in the figure 1 below.
- With the crocodile clip at p, take the voltmeter reading and ammeter reading. Record v and 1 repeat the readings for L=80, 60, 40, 20 and 0cm respectively and complete the table below. (5mks)
Length, L(cm) 100 80 60 40 20 0 Voltage, V(V) Current, I (A) - What changes do you observe on the bulb as L decreases from p? (1mrk)
- Plot a graph of ammeter reading (y=axis) against voltmeter readings. (5mrks)
- Determine the slope of the graph at V=1 volt. (2mrks)
- What physical quantity is represented by the slope of the graph at any given point? (1mrk)
- Set up the circuit as shown in the figure 1 below.
-
- Given the apparatus in a (i) above, draw a diagram of the circuit you would use to determine the current through the resistant wire and the potential difference across. (1mrk)
- Set up the circuit you have drawn. Record the ammeter reading I and the wire reading V when L=100cm (2mks)
V=…………………… I=……………………………………….. - Using a micrometer screw gauge, measure the diameter of the wire. (1mrk)
d=……………………………………………m - Calculate the quantity:
p= 0.785 (V) d² and give its units, where L is one meter. (2mrks)
I L
Question 2
- Vernier callipers
- Micrometer screw gauge
- Masses; 10g, 20g, 50g and 100g
- A helical spring
- Metre rule or half metre rule
Proceed as follows
- Determine the number of complete turns of the helical spring.
N = _______________________ (1 Mark) - Measure the external diameter of the spring using the vernier callipers
D = _______________________ m (1 Mark) - Use the micrometer screw gauge to determine the diameter of the wire of the spring.
d = ______________________ m (1 Mark) - Determine the value of m (2 Marks)
N = 0.4D
dm - Suspend the helical spring vertically alongside the clamped half metre rule as shown in figure 1 below. Determine the length L0, of the spring before loading it.
- Load the spring with a mass of 20g and determine the new reading on the metre rule. (L) Record this in the table below.
- Calculate the extension e = L – L0 due to the mass of 20g and record the value in the table given below. Repeat step f for other masses and complete the table.
Mass (g) 0 10 20 30 40 50 60 70 80 90 100 Weight (N) Reading (L) (cm) Extension e (cm) 1/e (cm-1) - Plot a graph of weight (N) against 1/e (cm-1) (4 Marks)
- Determine the slope (s) of the graph at a mass of 45g (2 Marks)
- Given that m = −255T
(S+60)2
Determine the value of T where (S) is the slope at 45g (3 Marks)
CONFIDENTIAL
QUESTION 1
Each candidate will require the following.
- A milliammeter.
- A voltmeter (0 – 3V) or (0 – 5V).
- A wire mounted on a mm scale (Nichrome wire SWG 32)
- A switch.
- A long wire with a crocodile clip at one end (crocodile clip to be used as a slider or jockey).
- A micrometer screw gauge (may be shared).
- 5 connecting wires, two with crocodile clips at the end.
- One new dry cell size D.
- Cell holder.
QUESTION 2
EACH STUDENT REQUIRES
- Micrometer screw gauge (shared between 4 students)
- Vernier callipers
- Masses
- 10g
- 2 – 20g
- 50g
- 100g
- Helical spring (K = 0.08N/cm)
- Metre rule or half metre rule
- Complete retort stand
MARKING SCHEME
Question 1 –(20 marks)
(a)
(ii)
Length, L(cm) | 100 | 80 | 60 | 40 | 20 | 0 |
Voltage, V(V) | 0.25 | 0.45 | 0.55 | 0.75 | 1.15 | 1.60 |
Current, I (A) | 0.12 | 0.14 | 0.15 | 0.16 | 0.18 | 0.21 |
1.4 − 0.3
= 0.018Ω−1
(i)
dN 6.3×10−4×83
g)
Mass (g) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
Weight (N) | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.6 | 0.7 | 0.8 | 0.9 | 1N |
Reading (L) (cm) | 50 | 51.2 | 52.4 | 53.6 | 54.8 | 56.0 | 57.2 | 58.4 | 59.6 | 60.8 | 62.0 |
Extension e (cm) | 0 | 1.2 | 2.4 | 3.6 | 4.8 | 6.0 | 7.2 | 8.4 | 9.6 | 10.8 | 12.0 |
1/e (cm-1) | 0 | 0.8333 | 0.4166 | 0.2777 | 0.2083 | 0.1666 | 0.1389 | 0.1190 | 0.1042 | 0.0926 | 0.0833 |
2.2 1.4 0.8
−255
−255
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