Using the diagram above as a guide, carry out the following instructions:

1. Fix. the drawing paper provided on the drawing board
2. Place the mirror vertically with its longer side resting on the drawing paper. Trace the outline AB of the mirror. Remove the mirror.
3. Draw a normal PQ to meet the outline at the middle Q.
4. Draw a straight line through A to meet the outline of the mirror at the right angle.
5. Trace the incident ray, Q with pins P\(_{1}\) and P\(_{2}\) so that it meets the perpendicular line through A at C such that CA=X= 1.0m.
6. Replace the mirror on its outline. Locate the images of P\(_{1}\)P\(_{2}\) through the mirror using two other pins P\(_{3}\) and P\(_{4}\) so that P\(_{3}\) and P\(_{4}\) and the images of P\(_{1}\) and P\(_{2}\) are in a straight line.
7. Remove the mirror and pins P\(_{3}\) and P\(_{4}\).
   Draw a straight line through the pin points to meet AB at Q and CA produced at D.
8. Measure and record angle ACQ as è\(_{1}\), and angle ADCQ as è\(_{2}\). Also, record the value of x. Evaluate è = (è\(_{1}\) + è\(_{2}\)), x\(^{-1}\) and tan è.
9. Repeat the procedure for four other values of x = 2.0, 3.0, 4.0 and 5.0cm. Tabulate your readings.
10. Plot a graph of tan è on the vertical axis against x on the horizontal axis.
11. Determine the slope, s, of the graph. Evaluate k = 2s
12. State two precautions taken to ensure accurate results. Attach your traces to your answer booklet.

(b)i. Distinguish between regular and diffused reflections.

ii. An object is situated 25cm in front of a plane mirror. Determine the distance of the image from the object. What is the size of the image relative to the object?

You are provided with a potentiometer x y; a jockey, J; a standard resistor, R, and other necessary apparatus.

1. Connect a circuit as shown in the diagram above.
2. Close the key. Read and record the current 10 when J is not in contact with XY.
3. Let J make contact with XY at C, such that XC = l= 25 cm. Close the key. Read and record the current l.
4. Evaluate I\(^{-1}\).
5. Repeat the procedure for four other values of I = 40, 55, 70, and 85 cm. Tabulate your readings.
6. Plot a graph of l on the vertical axis against I\(^{-1}\) on the horizontal axis.
7. From your graph, deduce the value of I when l\(^{-1}\) = 0. Evaluate \(\frac{|O}{1}\)
8. State two precautions taken to ensure accurate results.

(b)i) Explain what is meant by the potential difference between two points in an electric circuit.

ii. A piece of resistance wire of diameter 0.2m and resistance 7\(\Omega\) has a resistivity of 8.8 x 10\(^{-7}\) \(\Omega\)m. Calculate the length of the wire. [\(\pi\) = \(\frac{22}{7}\)].

Using the diagram as a guide, carry out the following instructions:

1. Fix a plain sheet of paper on the drawing board.
2. Place the rectangular glass prism on the paper and trace its outline, ABCD. Remove the prism.
3. Draw a normal NMP to meet AB and DC at M and P respectively such that |AM| =|DP| = 2.0cm.
4. Trace the ray PQ with two pins, P\(_{1}\), and P\(_{2}\), at P and Q respectively such that angle MPQ = i = 5º.
5. Replace the prism on its outline. Trace the emergent ray with two other pins P\(_{3}\) and P\(_{4}\) such that they lie in a straight line with P\(_{2}\) and the image of P\(_{1}\) viewed through the glass prism.
6. Measure and record \(\theta\), the angle between the emergent ray and the face AB of the glass prism.
7. Evaluate cos \(\theta\) and sin i.
8. Repeat the procedure for four other values of i= 10°, 15°, 20°, and 25°. Tabulate your readings.
9. Plot a graph of cos \(\theta\) on the vertical axis against sin i on the horizontal axis.
10. Determine the slope of the graph.
11. State two precautions taken to ensure accurate results.  Attach your traces to your answer booklet

(b)i. State the laws of refraction of light.

ii. Explain what is meant by the statement the refractive index of a material is 1.65.

1.  Measure and record the length XY of the resistance wire provided.
2. Connect the circuit shown in the diagram.
3. With R= O\(\Omega\), close the key, K. Read and record the current 1\(_{o}\) and the voltage drop V\(_{o}\) across the resistance wire.
4. Setting R = 1\(\Omega\). close the key. Read and record the current, I, and the corresponding voltage drop, V across the wire.
5. Repeat the procedure for five other values of R= 5, 10, 20, 40, and 60\(\Omega\). Tabulate your readings.
6. Plot a graph of V on the vertical axis against 1 on the horizontal axis.
7. Determine the slope of the graph
8. State two precautions taken to ensure accurate results.

(b)i. Mention and state the law on which the experiment in (a) is based.

ii. A piece of resistance vire of diameter 0.2 mm and resistance m has a resistivity of 8.8 x 10\(^{-7}\)\(\Omega\)m, calculate the length of the Wire. [\(\pi\) =\(\frac{22}{7}\)]

1. Fix the 100g mass marked P at B, the 80 cm mark of the uniform metre rule, using an adhesive.
2. Suspend another 100g mass marked Q at A, a distance V = 10.Ocm from the 0 cm mark of the metre rule.
3. Balance the whole arrangement horizontally on a knife edge as shown in the diagram above.
4. Measure and record the distance U of K from the 0 cm mark of the metre rule.
5. Repeat the procedure for five other values of V = 15.0, 20.0, 25.0, 30.0 and 35.0 cm
6. In each case, measure and record the Corresponding values of U. Tabulate your readings.
7. Plot a graph of U on the vertical axis against V on the horizontal axis.
8. determine the:
   (1) slope, s, of the graph
   (2) intercept c, on the vertical axis.
9. Evaluate (i) K\(_{1}\) =\(\frac{(1 - 2s)}{s}\) 100:
                 (ii) K\(_{2}\) = \(\frac{2c}{s}\) - 160
10. State two precautions taken to ensure an accurate result

(b)i. State two conditions under which a rigid body at rest remains in equilibrium when acted upon by three non-parallel coplanar forces.

ii. Explain how the position of the centre or gravity of a body affects the equilibrium of the body.