QUESTION 1

You are provided with the following apparatus:

• Ammeter
• Voltmeter
• Mounted resistance wire labeled W
• A new dry cell
• A cell holder
• 8 connecting wires
• A switch
• A jockey
• Micrometer screw gauge (to be shared)

PART A
PROCEED AS FOLLOWS:

1. Connect your apparatus as shown in the figure
   
2. Place the jockey at L=10cm, close the switch S. Read and record the current and the P.d readings.                                                
   Current (I) =……………A                                                             (1/2mk)
   P.d (V) =………………….V                                                             (1/2mk)
3. Repeat the procedure in (b) for other values of L, and complete the table below. (5mks)
   

   length L(cm)	10	15	20	25	30	35
   P.d.(V)
   Current I(A)

4. Plot a graph of p.d (V) against current (I) in the graph paper provided. (5mks)
   
5. Determine the slope S of the graph (3mks)
6. Given that the relationship between p.d (V) and current (I) supplied from the cell is given by the equation E=V+Ir, use your graph to determine the values of
   E=………………… (1mk)
   r=………………… (1mk)

PART B

Re-arrange the apparatus as show below

1. Close the switch S and record the current, (I) and the P.d (V) readings.
   I=………………………A
   V=………………………V                                        (1mk)
2. Use your values in (f) above to calculate the resistance R, of the wire, W.
   R=………………Ω                                                                (1mk)
3. Measure the diameter d of the wire, W, using a micrometer screw gauge. Give your answer in SI units.
   d=………………….                                                              (1mk)
4. Given that R= 4Ɓ/(πd^2 ), find the value of Ω for the wire W.              (1mk)

QUESTION 2

You are provided with the following apparatus:

• A 250cm³ glass beaker
• A candle
• A metre rule
• White screen
• Water

PROCEED AS FOLLOWS:

1. Set up the apparatus as shown in the figure below.
   
2. Put about 200cm³of water into the beaker. Measure the height, h of the water above the base of the beaker.
3. Given the internal radius, r of the beaker is given by the relation r=√(100/h) . Find the value of r.
   r =……………cm              (2mks)
4. Adjust the position of the screen until a sharp image is formed on the screen.
   Read and record the corresponding values of U and V In the table below. Given that U = 10r, 9r, 8r… (8mks)
   

   	10r	9r	8r	7r	6r	5r	4r	3r
   U (cm)
   V(cm)

5. Plot a graph of u against v. (5mks)
   
6. Determine the slope at 6r. (3mks)

MARKING SCHEME

PART A

QUESTION 2
H=3.0 cm
r=5.77cm

Gradient of tangent at 6r
Slope = change in y /change in x
Answer without unit