1.  Fig one shows a micrometer crew gauge being used to measure the diameter of a metal rod.

The thimble scale has 50 divisions

2.  Fig. 2 represents a rock balanced at point O.G is the center of gravity of the rock. Use this information to answer questions 2 and 3.

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Draw and label on the figure, the forces acting on the rock.

3.  If the portion of the rock represented by the shaded part is chopped off explain why the rock may topple to the right.

4.  A current of 0.70 A flows through a wire when a p.d of 0.35 V id applied at the ends of the wire. If the wire is 0.5m long and has a cross section area of 8.0 x 10-3 m-2, determine its resistivity.

5.  The total weight of a car with passengers is 25,000N. The area of contact of each of the four tyres with the ground is 0.025m2. Determine the minimum car tyre pressure.

6.  When an inflated balloon is placed at equal in a refrigerator it is noted that its volume reduces. Use the kinetic theory of gases to explain this observation.

7.  An electric heater is placed at equal distances from two similar metal cans A and B filled with water at room temperature. The outer surface of can is shiny while that of can B is dull black. State with reasons which can will be at a higher temperature after the heater is switched on for some time.

8.  Fig. 3 shows two rays of A and B entering a semi – circular glass block which has a critical angle of 42o. The rays are incident at an air – glass boundary at point O.

Complete the path of the two rays from point O. label A’ and B’ the corresponding rays.

9.  Fig. 4 shows electrical circuit. When the switch is closed the ammeter reading is 0.3 A.

10.  Fig. 5 shows a wire A and a spring B made of the same material. The thickness of the wire is the same in the both cases. Masses are added on each at the same intervals and the extension noted each time.

On the same axes provided, sketch the graphs of extension against load for each. (hookers law is obeyed.)

Figure 6

Sketch the magnetic field pattern.

12.  Fig. 7 shows a non – uniform log of mass 100kg balanced on the pivot by a 2kg mass placed as shown.

Determine the distance of the center of gravity of the log from the pivot.

13.  Fig. 8 shows two parallel thick copper conductors connected to a D.C. power supply. A rider made from a thin copper wire is placed on the conductors.

State and explain what is observed on the rider when the switch is closed.

14.  Fig. 9 shows a speed – time graph for the journey of a motorcar.

Determine the distance the car travels in the first 40 seconds.

15.  Fig. 10 shows how the potential energy, (P.E) of a ball thrown vertically upwards, varies with height.

Fig. 10

On the same axes, plot a graph of the kinetic energy of the ball.

16.  The chart below shows an arrangement of different parts of the electromagnetic spectrum.

 RADIO INFRARED VISIBLE A X – RAYS GAMMA RAYS

Name the radiation represented by A.

17.  Name two factors other than tension, which determine the frequency of sound form stretched wire at room temperature.

18.  An electric bulb with a filament of resistance 480W is connected to a 240V mains supply.

Determine the energy dissipated in 2 minutes (3mks).

19.  An immersion heater rated 90W is placed is a liquid of mass 2kg. When the heater is switched on for 15 minutes the temperature of the liquid rises form 20oC to 30oC .Determine the specific heat capacity of the liquid. (Assume no heat losses)

20.  A high jumper usually lands on thick soft mattress. Explain how the mattress helps in reducing the force of impact.

21.  Fig. 11 shows part of the circuit containing tow capacitors of 2mF and 3mF respectively.

Determine the p.d across AB given that the total charge in the capacitors is 1×10-4

Coulombs.

22.  On the axes provided sketch the P-V graph for a gas obeying Boyle’s law.

23.  Fig. 12 shows water waves incident on an aperture AB.

On the same diagram, sketch the waves after going through the aperture.

24.  The audible frequency range for a certain person is 30 Hz and 16,500 Hz. Determine the largest wavelength of sound in air the person can detect.(Speed of sound in air = 330m/s)

25.  A block of glass of mass 250g floats in mercury. What volume of glass lies under the surface of the mercury? (Density of mercury is 13.6 x 103 kgm-3).

26.  A small object moving in a horizontal circle of radius 0.2m makes 8 revolutions per second.

Determine its centripetal acceleration.

27.  Cobalt 60 is a radio isotope that has a half – life of 5.25 years. What fraction of the original atoms in a sample will remain after 21 years?

28.  Fig. 13 represents an object O placed 10cm in front of a diverging lens is the focal point of the lens.

Draw rays to locate the position of the image. Determine the image distance.

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30.  The following table shows electrical appliances to be used in a house. The electrical rating for each appliance is shown. The following fuses are available, 5A, 15A, 30A and 45A.

Appliances Voltage (V) Power (W)

T.V 250 300

Iron box 250 750

Electrical kettle  250 2,000

Determine which one of the fuses is suitable for the house.

31.  A nucleus is represents by 10742x. State the number of neutrons in the nucleus.

32.  State the property of X-rays, which makes it possible to detect cracks in bones.

33.  Fig. 15 shows a wire XY placed in a magnetic field.

State the direction in which the wire must be moved for the current to move in the direction shown.

34.  Light of a certain wavelength strikes the surface of a metal. State what determines the maximum kinetic energy of the electron emitted.

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