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  • kcse form 2 mathematics questions

K.C.S.E Physics Q & A - MODEL 2016PP2QN18

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN18

​(a)State one factor that affects the speed of sound in a solid.
b)An observer stands half-way between two vertical cliffs that are L metres apart.He strikes a gong and measures the time interval, t, between the
echoes heard from the two cliffs. He moves a further 10m and again strikes the gong and measures the time interval between the echoes. The process is repeated several times. The graph in Figure 13 shows the relation between the time interval, t and the distance, x from the centre.
(i)From the graph, determine the value of x for which the time interval was 0.55.
Picture
​(ii)Given that t = 4x/v where v is the speed of sound in air, determine the value of v from the graph.
(iii)If the maximum time measured by the observer was t=4.7s, determine the distance L between the cliffs.
(c)A search boat uses a signal of frequency 6.0 x 104 Hz to detect a sunken ship directly below. Two reflected signals are received; one after 0.1 seconds from sunken boat and the other after 0.14 seconds from the sea bed. If the sea bed is 98 m below the boat, determine:-
(i)The speed of the signal in water. 
You may use the value of v from (ii) above.
(ii)The depth of the sunken ship below the boat
answers
​(a)Temperature
Density
(b)(i)47 metres
(ii)
Picture
​(iii)Distance = speed x time
 2D = distance to and from the cliff
 2D = 340.715 x 4.7
 D = 800.68 metres
(c)(i)Distance moved by sound from sea bed = 98 x 2 m
 V = (98 x 2)0.14
 = 1400 m/s
(ii) Distance = v x t
 = 1400 x 0.10/2
 = 70 m
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K.C.S.E Physics Q & A - MODEL 2016PP2QN17

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN17

​When a radiation was released into a diffusion cloud chamber, short thick tracks were observed. State with a reason, the type of radiation that was detected.
(b)The half-life of an element X is 3.83 days. A sample of this element is found to have an activity rate of 1.6 x 10^3 disintegrations per second at a particular time. 
Determine its activity rate after 19.15 days.
(c) State what is meant by an extrinsic semiconductor.
(d)Figure 11, shows a depletion layer in an unbiased p-n junction
Picture
​State how a battery can be used to make the depletion layer narrower.
(e)Figure 12, shows an incomplete circuit of a full wave rectifier.
Picture
​(i) Draw in the figure two more diodes to complete the circuit should be obtained.
answers
​(a)Alpha radiation. This radiation has a short range with intense ionization hence thick tracks
Picture
​(c)It is a semiconductor in which impurities have been added to change conductivity
​(d) By connecting it in a forward biased mode
Picture
​(ii)Across QS
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K.C.S.E Physics Q & A - MODEL 2016PP2QN16

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN16

​Figure 8, shows a circuit that may be used to charge a capacitor.
Picture
(i) state the observation on the milliameter when the circuit is switched on:
(ii) explain the observation in (i) above.
b)The circuit in figure 8 is left on for some time. State the value of p.d. across:
(i) the resistor R;
(ii) the capacitor C;
(c) sketch the graph of potential difference (V) across R against time.
​(d) Figure 9 shows three capacitors connected to a 10V battery
Picture
​Calculate:
(i) the combined capacitance of the three capacitors;
(ii) the charge on the 5.0 uF capacitor.
answers
​(a)(i)Current falls off to zero.Falling to zero deflects to maximum then zero.
(ii)Current flows when the capacitor is charging. When fully charged no current flows and potential difference (p.d.) is equal to charging voltage
(b) (i)VR = 0 volts
(ii)Vc = 5 Volts
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN15

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN15

Figure 15, shows two coils A and B placed close to each other. A is connected to a steady D.C. supply and a switch, B is connected to a sensitive galvanometer.
Picture
​i)The switch is now closed, state the observation made on the galvanometer. 
ii)Explain what would be observed if the switch is then opened. 
b) The primary coil of a transformer has 1000 turns and the secondary coil has 200 turns.
The primary coil is connected to a 240V ac. Mains supply.
i) Explain how an e.m.f is induced in the secondary coil. 
ii)Determine the secondary voltage.           
iii) Determine the efficiency of the transformer given that the current in the primary coil is 0.20A and in the secondary coil it is 0.80A. 
answers
(a) ​(i)The galvanometer will be deflected to one side and then back to zero.
(ii)A greater deflection will be obtained in the opposite direction as the current takes less time to die off than to build up
b)(i)The changing current in the primary coil induces a current in the secondary coil due to changing magnetic field of the primary current
ii)Ns/Np = Vs/Vp hence Vs = (240 x 200)/1000 = 48V
iii)Efficiency = power output/Power input x 100       
(4.8 x 0.8 x 100)/240 x 0.2= 80%
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K.C.S.E Physics Q & A - MODEL 2016PP2QN14

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN14

​Figure 6 shows a simple electric bell circuit
Picture
​(i)Name the parts labeled
(I) D
(II) E
(ii)When the switch is closed, the hammer hits the gong repeatedly.
Explain why:
(I) the hammer hits the gong. 
(II) the hammer hits the gong repeatedly.
(b) An electric bulb is rated 60 W, 240 V. Determine:
(i) the current that flows through it when it is connected to a 240 V supply.
(ii) the resistance of the bulb.
answers
​(i)D-Soft iron armature
 E-Contact screw
(ii) (I)Soft iron core is magnetized
    It attracts the armature
(II) Contact is broken
 The core then loses magnetism
 Armature spring back making contact again
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN13

27/7/2020

1 Comment

 

K.C.S.E Physics Q & A - MODEL 2016PP2QN13

​A boy standing in front of a cliff blows a whistle and hears the echo after 0.5s. He then moves 17 metres further away from the cliff and blows
the whistle again. He now hears the echo after 0.6s. Determine the speed of the sound.
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN12

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN12

.When germanium crystal is doped with arsenic, it becomes an N-type semiconductor. Explain how this change occurs.
(Number of electrons in the outermost shell for germanium =4, arsenic =5)
Picture
answer
  • Arsenic shares four electrons with germanium leaving a free electron for conduction.
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K.C.S.E Physics Q & A - MODEL 2016PP2QN11

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN11

​A heater of resistance R1 is rated P watts, V volts while another of resistance R2 is rated 2P watts, V/2 volts. Determine R1 / R2 
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN10

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN10

​Figure 6 shows a narrow beam of X-rays passing between two metal plates in air. The plates are connected in series with a switch, a cell and a milliameter.
Picture
​It is observed that when the switch is closed a current flows in the milliameter. Explain this observation. 
answer
  • X-rays cause ionization of air molecules between the plates. The ions move to plates of opposite charge.
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K.C.S.E Physics Q & A - MODEL 2016PP2QN09

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN09

Draw a ray diagram to show how a ray of light may be totally internally reflected two times in an isosceles right - angled glass prism.(Assume that the critical angle of glass is 42
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN08

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN08

​The following is part of radioactive decay series
Picture
​Determine the values of a and b 
answers
​a = 234
 b= 82
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K.C.S.E Physics Q & A - MODEL 2016PP2QN07

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN07

​Figure 5 shows the cross-section of a dry cell. Use the information on the figure to answer questions below
Picture
​(a) Name the parts labeled A and B.
(b) State the use of manganese (IV) oxide in the cell. 
answers
​(a) A – Carbon rod or graphite rod
 B – Mixture of Manganese (IV) oxide with carbon powder
(b) Manganese (IV) oxide is a depolarizer or oxidizing agent. It is used to oxidize hydrogen to water
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K.C.S.E Physics Q & A - MODEL 2016PP2QN06

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN06

​Figure 4 shows straight waves incident on a diverging lens placed in a ripple tank to reduce its depth
Picture
​Complete the diagram to show the waves in both the shallow region and beyond the lens.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN05

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN05

​State the reason why a convex mirror is preferred over a plane mirror for use as a driving mirror. 
Picture
answer
  • It has a wide field of view / wide angle of view / wider range of view
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K.C.S.E Physics Q & A - MODEL 2016PP2QN04

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN04

​Figure 5, shows how the displacement of a point varies with time as a wave passes it.
Picture
​On the same diagram, draw a wave which passes the point with half the amplitude and twice the frequency of the one shown.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN03

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN03

​Figure 4 shows a solenoid carrying an electric current.
Picture
​Sketch the magnetic field pattern inside and at the ends of the solenoid 
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP2QN02

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN02

.An un-magnetized steel rod is clamped facing North-South direction and then hammered repeatedly for some time. When tested, it is found to be magnetized. Explain this observation. â€‹
Picture
answer
  • The mechanical disturbance due to hammering aligns the domain with the earth’s magnetic field causing magnetization
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K.C.S.E Physics Q & A - MODEL 2016PP2QN01

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP2QN01

​Figure 1 shows a ray of light incident on a mirror at an angle of 45°.Another mirror is placed at an angle of 45° to the first one as shown.
Picture
​Sketch the path of the ray until it emerges. 
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN18

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN18

(a) State Newton’s first law of motion
(b)A wooden block resting on a horizontal bench is given an initial velocity, u, so that it slides on the bench surface for a distance d, before coming to a stop. The values of d were measured and recorded for various values of initial velocity. Figure 10 shows the graph of u2 against d.

Picture

(i)Determine the slope, S of the graph
(ii)Given that u2 = 20 kd, where k is a constant for the bench surface, determine the value of k from the graph
(iii)State how the value of k would be affected by a change in the roughness of the bench surface
(c) A car of mass 800 kg starts from rest and accelerates at 1.2 ms-2.
Determine its momentum after it has moved 400 m from the starting point

answers
​(a)A body at rest or motion at uniform velocity tends to stay in that state unless acted on by an unbalanced force/ compelled by some external force to act
otherwise.
Picture
​(b)(iii) Increase in roughness increases k and vice versa
Uniform speed in a straight line – uniform velocity
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN17

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN17

​(a) When a bus goes round a bend on a flat road, it experiences a  centripetal force.
State what provides the centripetal force. 
(b) State the purpose of banking roads at bends.
Picture
​(c)A student whirls a stone of mass 0.2 kg tied to a string of length 0.4 m in a vertical plane at a constant speed of 2 revolutions per second. (Take acceleration due to gravity g as 10 m/s2)
(i) State two forces acting on the stone when it is at the highest point.
(ii) Determine the:
(I)Angular velocity of the stone 
(II)Tension in the string when the stone is at the highest point; 
answers
(a)Frictional force 
(b)Increases the centripetal force acting on the bus
 Provide more centripetal force
 Prevent skidding force, overturning or rolling
 Enable high speed or critical yield
(c) (i)The weight/ force of gravity
The tension on the string
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN16

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN16

(a)Define the term velocity ratio of a machine.
(b) Fig. 12 shows part of a hydraulic press. The plunger is the position where effort is applied while the Ram piston is the position where load is applied. The plunger has cross-section area, a m2 while the Ram piston has cross-section area, A m2.

Picture

When the plunger moves down a distance d the Ram piston moves up a distance D.
Derive an impression for the velocity ratio (V.R) in terms of A and a
c) A machine of velocity ratio 45, overcomes a load of 4.5 x 103N when an effort of 135N is applied. Determine:
(i)The mechanical advantage of the machine;
(ii) Efficiency of the machine;
(iii) The percentage of the work that goes to waste.

answers
​(a)It is the ratio of distance moved by effort to distance moved by load
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN15

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN15

​(a) State what is meant by an ideal gas 
(b) The pressure acting on a gas in a container was changed steadily while the temperature of the gas maintained constant. The value of volume V of the gas was measured for various values of pressure. The graph in figure 11 shows the relation between the pressure, p and the reciprocal of volume 1/v
Picture

(i) Suggest how the temperature of the gas could be kept constant
(ii) Given that the relation between the pressure P1 and the volume, V1 of the gas is given by PV = k, where k is a constant, use the graph to determine the value of k.
(iii) What physical quantity does k represent?
(iv)State one precaution you would take when performing such an experiment
(c) A gas occupies a volume of 4000 litres at a temperature of 370C and normal atmospheric pressure. Determine the new volume of the gas if it is heated at constant pressure to a temperature of 670C (normal atmospheric pressure P= 1.01 x 105 pa)

answers
​(a)A gas that obeys the gas laws perfectly
(b) (i)By changing pressure very slowly or by allowing gas to go to original temperature after each change
Picture
​(iii)Work done on the gas
(iv)Use dry gas
Make very small changes in pressure
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN14

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN14

a) Explain why it is advisable to use a pressure cooker for cooking at high altitudes 

b) Water of mass 3.0kg initially at 200C is heated in an electric kettle rated 3.0KW. The water is heated until it boils at 1000C. (Take specific heat capacity of water 4200Jkg1K-1. Heat capacity of the kettle = 450JK-1, Specific latent heat of vaporization of water = 2.3Mjkg-1)

Picture
Determine
(i) The heat absorbed by the water. 
ii)Heat absorbed by the electric kettle 
iii) The time taken for the water to boil 
iv) How much longer it will take to boil away all the water.
ANSWERS
​(a) At high altitudes pressure is low so boiling point is low
A pressure cooker increases pressure inside it which raises the boiling point hence faster cooking
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN13

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN13

​The graph in figure 10 shows the velocity of a car in the first 8 seconds as it accelerates from rest along a straight line.
Picture
​Determine the distance traveled 3.0 seconds after the start
answer
Picture
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State why it is easier to separate water into drops than to separate a solid into smaller pieces

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN12

State why it is easier to separate water into drops than to separate a solid into smaller pieces

Picture
answer
  • There are weaker intermolecular forces in liquids than in solids
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    9. Electrostatics (12 Lessons)
    10. Cells and Simple Circuits (12 Lessons)

    FORM II - PHYSICS SYLLABUS

    1. Magnetism (12 Lessons)
    2. Measurements II (16 Lessons)
    3. Turning Effect of Force (10 Lessons)
    4. Equilibrium Centre of Gravity (12 Lessons)
    5. Reflection at Curved Surfaces (16 Lessons)
    6. Magnetic Effect of Electric Current (18 Lessons)
    7. Hooke's Law (8 Lessons)
    8. Waves (14 Lessons)
    9. Sound (12 Lessons)
    10. Fluid Flow  (14 Lessons)
    TOPICS

    FORM III - PHYSICS SYLLABUS

    1. Linear Motion (20 Lessons)
    2. Refraction of Light (20 Lessons)
    3. Laws of Motion (15 Lessons)
    4. Energy, Power and Machines (20 Lessons)
    5. Current Electricity (20 Lessons)
    6. Waves II(10 Lessons)
    7. Electrostatics II (15 Lessons)
    8. Heating Effect of Electric Current (10 Lessons)
    9. Quantity of Heat (20 Lessons)
    10. Gas Laws (15 Lessons)

    FORM IV - PHYSICS SYLLABUS

    1. Thin Lenses (20 Lessons)
    2. Uniform Circular Motion (10 Lessons)
    3. Floating and Sinking (15 Lessons)
    4. Electromagnetic Spectrum (15 Lessons)
    5. Electromagnetic Induction (20 Lessons)
    6. Mains Electricity (10 Lessons)
    7. Cathode Rays and Cathode Ray Tube (10 Lessons)
    8. X-rays (8 Lessons)
    9. Photoelectric Effect (15 Lessons)
    10. Radioactivity  (15 Lessons)
    11. Electronics (10 Lessons)
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