QUESTION 1

You are provided with the following apparatus

- Two beakers.
- A complete retold stand.
- Funnel
- Cotton wool.
- Access to water.
- Stop watch.
- A burette with a tap (50cm
^{3}). - 100ml measuring cylinder.

Proceed as follows:

- Set the apparatus as follows:
- Support the burrete on a result as shown above
- Close the tap of the burrete and fill it with water to the brim
- Transfer the water to the 100ml measuring cylinder and record the volume of the water

Volume V_{1}=............^{ }

- Fill the burrette with water up to the 0cm3 mark. Drain this water into 100ml measuring cylinder and record its volume V2

V_{2}=................(1mk)

The excess water above the zero mark is given by

V_{0}= V_{1}– V_{2}V_{0}=.................

(This volume should be added to the final volume of the burette reading when water has been drained) - Fill the burrete with water to the brim. Finally open the tap at once and start the stop watch simultaneously. Obtain the time, t taken for the level of water to reach X=10cm
^{3}

Volume drained = (V_{0}+10) cm^{3}

Refill the burette with water. Finally open the tap at once and start the stopwatch simultaneously. Obtain the time taken for the level of water to reach x = 20cm3

Volume drained = (V_{0}+20) cm^{3} - Repeat the procedure for other values of the burette readings.

Record the volume drained and the corresponding time in the table below.Burette reading Volume of water drained Time t (s) Log _{10}V10 20 30 40 45 50 - Plot the graph of log10v (vertical axis) against time t. (5mks)
- Using your graph, calculate the value for b and n from the equation. (3mark)

QUESTION 2

- You are provided with the following apparatus:
- Resistance wire fitted on a scale labelled MN
- Switch
- Voltmeter (0.3v) or(0.5v)
- Ammeter (0.1A)
- Two dry cells
- Six connecting wires

- Set up the apparatus as shown in the figure below

- Remove the crocodile clip from the resistance wire MN and close the switch. Record the voltmeter reading.

Y =.............. V (1mk) - Attach the crocodile clip to the resistance wire such that L=10cm.
- Record the voltmeter and ammeter reading in the table below.
- Repeat the procedure in (iii) and (iv) for L= 20 cm, 30 cm, 40 cm, 50cm, 60 cm, 70cm and 80 cm.
- Complete the table below.
Length L (cm) 10 20 30 50 80 Current I (A) p.d V (V) Y-V ^{V}/_{Y-V}^{V}/_{I}= R (αÎ¨) -
- Plot the graph of, vertical axis against R (5mks)
- Determine the slope, m of the graph (2mks)
- The graph is given by the equation

Determine the value of m and d (3mks)