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  • kcse form 2 mathematics questions

K.C.S.E Physics Q & A - MODEL 1998PP2QN07

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN07

a) Fig. 6 shows an object, 0.3cm high placed in front of a concave mirror. C is the centre of curvature of the mirror. The diagram is drawn to scale:(1cm: 2cm)
Draw a ray diagram, on figure 6, and determine the size of the image produced.
Picture
b) Table 3 shows the object distance y and the corresponding image distance v, for an object placed in front of a concave mirror.
Picture
i) Complete the table and plot a graph of 1/v (y-axis) against 1/u (give your answers to 3 decimal places).
ii) From the graph, determine the focal length of the mirror.

ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP2QN06

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN06

 Fig 5 shows a circuit for charging and discharging a capacitor; e, through a variable resistor R, X Y and T are points on a two-way switch.
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a) Explain how the charging and discharging processes are achieved.
b) Table 2 show the variation of the charge q with time t when a 500u F capacitor was discharged though a resistor.
Picture
Table 2
(i) Plot a graph of charge 0 (y axis ) against time.
(ii) Determine the current flowing in the circuit at t =30s. (Give your answer to 1 decimal place)

ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP2QN05

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN05

a) A ray of white light is incident on one face of a rectangular glass prism.
i) Draw a ray diagram to illustrate the dispersion of white light by the prism, showing only the red ® and violet (V) rays.
ii) On the same diagram drawn in (i) mark and label the initial angle of incidence, 1, and the angles of reflection on the first face for red rR and for violet rV.
iii) Snell's law for the red and colours can be written as
nr= Sin I/Sin  rR 
Picture
b) Calculate the critical angle for a material whose refractive index is 1.40.
ANSWERS
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K.C.S.E Physics Q & A - MODEL 1998PP2QN04

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN04

a) In an experiment to determine the rate at which solar energy is absorbed by a surface, an aluminum block, coated black and fitted with a heater (Fig. 3) is exposed to the sun, for a period of time. The temperature rise in noted. After the temperature of the block is allowed to fall to the initial temperature, the block is electrically heated to the temperature.
Picture
(i) Draw and labeled a circuit diagram that would be used to determine the electrical energy.
(ii) State the measurements that would be taken in (a)(i) to determine the rate of heating of the block.
(iii) Explain how the measurements stated in (a) (ii) would be used to determine the rate of heating of the block by the sun.
b) Fig 4 shows a photocell
Picture

(i) Label the cathode and anode.
(ii) How are electrons produced in the cell
(iii) Draw a simple circuit including the photocell to show the direction of flow of current
(iv) Calculate the photon energy in ultraviolet radiation whose frequency is 8.60 x 1014 HZ. (Plank's constant h=6.63 x 10-34 Js)

ANSWERS
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP2QN03

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN03

a) A gun is fired vertically upwards from the top of 2 open truck moving horizontally at a uniform velocity of 50ms-1. The bullet achieves a maximum height of 45m. State with reason whether or not the bullet will land on the truck.
(i) Calculate the distance covered by the truck just before the bullet reaches the level from which it was fired. (Use g =10 ms-2)
b) Figure 2 shows a set-up that may be used to verify Boyle's law.

Picture
i) Describe the measurements that should be taken in the experiment
ii) Explain how the measurements taken in (i) above may be used to verify Boyle's law.
answers
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP2QN02

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN02

a) You are provided with two straight open tubes each about 1m long, a sound source, a sound detector and a reflecting surface. With the aid of a labeled diagram, describe an experiment to show that the angle of incidents is equal to reflection for sound waves.
b)Fig. 1 shows a block with a graduated side, and of dimension 4cm x4cm x 4cm x 16cm, just about to be lowered into a liquid contained in an overflow can.
Picture
During an experiment with this set-up, the following information was recorded;
-The block floated with three quarters of it submerged
-Initial reading of balance=0 grammes
-final reading of balance= 154 grammes.
Use the information to determine the density of the:
(i) Block (ii) Liquid
(Use g= 10ms2 . give your answers to 1 decimal place.)

ANSWERS
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K.C.S.E Physics Q & A - MODEL 1998PP2QN01

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP2QN01

.a) In an experiment to determine the strength of an electromagnet, the weight of pins that can be supported by the electromagnet, was recorded against the number of turns. The current was kept constant throughout the experiment. Table 1 shows the data obtained.
Picture
(i) Plot a graph of weigh, W (y-axis) against the number of turn's n
(ii) Use the domain theory to explain the nature of the curve.
(iii) Sketch on the same axes, the curve that would be obtained using a higher current.
b) Using a labeled diagram, explain the working of a simple relay.

ANSWERS
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K.C.S.E Physics Q & A - MODEL 1998PP1QN34

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN34

Fig 12 shows a body of weight 50N placed on a surface which is inclined at an angle of 30 to the horizontal . The body experiences a maximum frictional force of 29N with the surface.
Picture
Determine the force required to move the body, up the inclined with constant velocity.
ANSWER
Picture
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What is meant by virtual image?

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN33

What is meant by virtual image?

Picture
ANSWER
  • Is the one which cannot form on a screen       Is formed by rays which are not real
  •  Is formed by extending rays.                               Formed by apparent rays.
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K.C.S.E Physics Q & A - MODEL 1998PP1QN32

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN32

Fig 11 shows a double slit placed in front of a source, s of waves, a director D is placed beyond the slits, such that its position can be adjusted along the line XY
Picture
State with a reason, what the detector records along XY.
ANSWER
  • ​There will be no variation of intensity of light/ uniform intensity/no bands/one 
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K.C.S.E Physics Q & A - MODEL 1998PP1QN31

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN31

Fig 10 shows a fire alarm circuit
Picture
Explain how the alarm functions
ANSWER
  • When mercury is heated (during a fire); it expands and makes contact, completing the circuit to ring the bell.
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K.C.S.E Physics Q & A - MODEL 1998PP1QN30

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN30

 Fig 9 shows a Bunsen burner.
Picture
Use Bernoulli's principle to explain how air is drawn into the burner, when, the gas tap is opened.
ANSWER
  • Gas through the nozzle gains velocity.  Hence its pressure reduces above the nozzle. The higher atmospheric pressure pushes air into the gas stream.
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K.C.S.E Physics Q & A - MODEL 1998PP1QN29

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN29

Fig. 8 shows a car of mass M moving along a curved part of the road with a constant speed.
Picture
Explain the fact that the car is more likely to slide at B than at A if the speed is not changed.
ANSWER
  • Since F=MV2/V the sharper the corner (as B) the small the value of R hence the greater the F. (M& V constant).
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What determines the quality of a musical note?

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN28

What determines the quality of a musical note?

Picture
ANSWER
  • Overtones/harmonics
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During total eclipse of the sun, both light and heat are observed to disappear simultaneously. Explain the observation.

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN27

During total eclipse of the sun, both light and heat are observed to disappear simultaneously. Explain the observation.

Picture
ANSWER
  • Moon covers the sun/obstruction of sun by the moon
  •  Both heat and light have same velocity/both are electromagnet waves.
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State two factors that would raise the boiling point of water to above 100C

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN26

State two factors that would raise the boiling point of water to above 100C

Picture
ANSWER
  • Addition of impurities with higher boiling points/presence of impurities.  Water heated under a higher pressure than atmospheric/below sea level
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K.C.S.E Physics Q & A - MODEL 1998PP1QN25

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN25

 Fig 7 shows a graph of pressure P, against volume, V, for a fixed mass of gas at constant temperature.
Picture
Sketch on the same axes a graph for the same mass of gas with a temperature T2 lower than T1
ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP1QN24

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN24

John carried a uniform post of mass 20kg horizontally on his shoulder as shown in fig 6. He placed the post on his shoulder such that the centre of gravity of the pole is 1.0m behind him. He balanced the post by applying a downward force F at a point 0.5m on the part of the post in front of him.
Picture
Determine the value of the force F.
answers
Picture
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Cleavage in crystals is possible in certain directions only. Explain this observation.

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN23

Cleavage in crystals is possible in certain directions only. Explain this observation.

Picture
answer
  • layers of the crystal material are arranged according to faces/ plans/ flat surfaces.  Cleavage is only possible parallel to those faces/places/flat surfaces.
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K.C.S.E Physics Q & A - MODEL 1998PP1QN21

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN21

In the circuit in fig 5 when the switch S is closed, the voltmeter shows a reading.
Picture
When the cell terminals are reversed and the switch is closed, the voltmeter reading is zero. Explain these observations.
ANSWER
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K.C.S.E Physics Q & A - MODEL 1998PP1QN20

6/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN20

Table 1 carries information on the type of radiation, detector and use for some of the electromagnetic radiations. Fill in the blanks.
Picture
answers
  • Heating/ cooking/communication/eye/photographic film or plate/LDR/photocell
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State two differences between the cathode ray tube (CRT) of a TV and the cathode ray oscilloscope (CRO)

6/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN19

State two differences between the cathode ray tube (CRT) of a TV and the cathode ray oscilloscope (CRO)

Picture
answers
  • ​In TV (CRT) deflection is by magnetic field, while in CRO deflection is by electric field.  X-Y plates.
  •  ATV (CRT)has two time bases while a CRO has only one.
  • In CRT it produced 625 lines per second while CRO is 25 lines per second.
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State the reason why the amplitude of a simple pendulum decreases with time.

6/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN18

State the reason why the amplitude of a simple pendulum decreases with time.

Picture
answer
  • Some energy is lost due to friction/air friction acts on the pendulum/air dumping on the apparatus air resistance.
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K.C.S.E Physics Q & A - MODEL 1998PP1QN17

6/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN17

 Calculate the length of a wire required to make a resistor of 0.5 ohms, if the receptivity of the material is 4.9 x 10-7 ohmmeter and the cross sectional area is 2.0 x 10-6cm-2
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP1QN16

6/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN16

In figure 4 one end of a metal rod is placed in steam and the other end in melting ice. The length of the rod in between in lagged.
Picture
State two factors that determine the rate at which ice melts.
ANSWER
  • Length of the rod; diameter/cross sectional area of the rod/thickness nature/type of rod material/conductivity
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