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  • kcse form 2 mathematics questions

K.C.S.E Physics Q & A - MODEL 2014PP2QN018

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN018

​Figure 11 shows an object placed 10cm infront of a concave mirror whose radius of curvature is 40 cm.
Picture
​(a) (i) On the same figure, draw a ray diagram to show the position of the image formed. 
(ii) Use the ray diagram to determine:
(I) the image distance. 
(II) the magnification. 
(iii) State where the position of the image would be if the object had been placed at the principal focus. 
(b) Draw a ray diagram to show the formation of a partially dark shadow and a totally dark shadow during the eclipse of the sun. 
answers
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN017

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN017

(a) Figure 9 shows two speakers  and S2 which produce sound of the same frequency.
They are placed equidistant from a line AB and a line PQ. (PQ is perpendicular to line AB).
Picture
​(i) A student walking from A to B hears alternating loud and soft sounds. Explain why at some point the sound heard is soft. 
(ii) The student now walks along line PQ. State with reason the nature of the sound the student hears. 
(b) Figure 10 shows sound waves in air produced by a vibrating tuning fork. R is an air molecule on the path of the waves.
Picture
​(i) Using a line, indicate on the diagram a distance d equal to one wavelength of the wave.
(ii) In the space provided, show with an arrow the direction of motion of the air molecule R as the waves pass. 
(iii) Explain the reason for the answer in (ii).
answers
​(a) (i) (I) sound is soft when the waves arrive out of phase;such waves undergo destructive interference.
(ii) same sound — loud. 
Along PQ the waves undergo constructive interference as they arrive in phase. 
Picture
Picture
​(iii) As the longitudinal waves pass molecule R moves along to either side.
For a crest. R moves away from source.
0 Comments

K.C.S.E Physics Q & A - MODEL 2014PP2QN16

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN16

​(a) Figure 7 shows resistors R1 and R2 connected in parallel. Their ends are connected to a battery of potential difference V volts.
Picture
(i) In terms of V1, R1 and R2, write an expression for:
(I) current I, through R,. 
(II) current I2 through R,; 
(III) total current I in the circuit.
Picture
​(b) Figure 8 shows a negatively charged rod placed near an uncharged conductor resting on an insulating support.
Picture
​(i) Show the charge distribution on the conductor. 
(ii) State the effect:
(I) of momentarily touching the conductor with a finger while the charged rod is still near the conductor. 
(II) on the charge distribution of withdrawing the negatively charged rod after momentarily touching the conductor. 
(iii) In the space provided, sketch a diagram to show how the charge in ii (II) would have been distributed if the conductor was a sphere.
answers
Picture
Picture
​(b)(ii) (I) The conductor loses the negative charges to earth.
(II) The conductor acquires a net  positive charge/which redistributes itself.
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN15

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN15

​(a) One of the causes of energy loss in a transformer is heating in the coils when current flows. State:
(i)the reason why the current causes heating. 
(ii) how the heating can he minimized. 
(b) The input voltage of a transformer is 240 V and its output is 12 V. When an 80 W bulb is connected across the secondary coil, the current in the primary coil is 0.36 A
Picture
​Determine:
(I) the ratio Np/Nsof the transformer, (where Np is the number of turns in the primary coil and Ns is the number of turns in the secondary coil) 
(ii) the power input of the transformer. 
(iii) the power output of the transformer. 
(iv) the efficiency of the transformer. 
answers
​(a) (i) resistance in the coils.
(ii) use of thicker copper wires.
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN14

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN14

​(a) Figure 6 shows a simple electric bell circuit
Picture
​(i) Name the parts labelled:
(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 ol the bulb. 
answers
​(a) (i) I D - soft iron armature 
II E contacts 
(ii) I. Soft iron core is magnetized  and attracts the armature the hammer hits 
the gong.
II. Contact is broken  when armature is  attracted by the core. The core then loses magnetism. 
The armature loses magnetism and  springs back making contact again and the process is repeated.
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN13

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN13

The current of electrons hitting the screen of a cathode ray oscilloscope is 2.0 X 10-4A
Determine the number of electrons that strike the screen each second. (take charge of an electron as 1.6 X 10 -19C).

Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN12

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN12

​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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The anode of an x-ray tube becomes hot when the tube is in use. State the reason for this.

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN11

The anode of an x-ray tube becomes hot when the tube is in use. State the reason for this.

Picture
answer
  • It stops the fast moving electrons V whose kinetic energy is converted to heat.
0 Comments

State two uses of a charged gold leaf electroscope.

23/7/2020

1 Comment

 
K.C.S.E Physics Q & A - MODEL 2014PP2QN10

State two uses of a charged gold leaf electroscope.

Picture
answer
  •  estimate the quantity of charge 
  • test for insulating properties 
  • test for the sign of charge 
  • test for presence of charge
1 Comment

K.C.S.E Physics Q & A - MODEL 2014PP2QN09

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN09

​ Radium undergoes radioactive decay by emitting an alpha particle to form a daughter nuclide Q as in the reaction:
Picture
Determine the values of:
(a) x 
(b) y
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN08

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN08

​Figure 5 shows a graph of current against voltage for a semiconductor diode.
Picture
​In the space provided, draw a circuit diagram that may be used to obtain values needed to draw the graph in figure 5.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN07

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN07

​Figure 4 shows the magnetic field pattern around two bar magnets placed side by side.
Picture
​Indicate on the diagram the poles of each magnet. 
answer
Picture
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It is observed that when the cap of an uncharged electroscope is irradiated with light of high frequency, the leaf of the electroscope rises. Explain this observation.

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN06

It is observed that when the cap of an uncharged electroscope is irradiated with light of high frequency, the leaf of the electroscope rises. Explain this observation.

Picture
answer
​ (a) Electrons absorb enough energy and are ejected leaving the electroscope positively charged  the leaf is repelled by the stem. 
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K.C.S.E Physics Q & A - MODEL 2014PP2QN05

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN05

​Figure 3 shows a nail on which a wire is to be wound to make an electromagnet.
Picture
​By drawing, show how the wire should be wound around the nail so that end A becomes a north pole and end B a south pole.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN04

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN04

The frequency of an electromagnetic wave is 4.0 X 106 Hz. Determine its wavelength. (take speed of light as 3.0 X 108ms-1.

Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP2QN03

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN03

​Figure 2 shows circular waves originating from the principal focus F of a concave mirror and moving towards the mirror.
Picture
​Complete the diagram to show the reflected waves.
answer
Picture
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State the effect of decreasing the distance between the plates of a parallel plate capacitor on the capacitance.

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN02

State the effect of decreasing the distance between the plates of a parallel plate capacitor on the capacitance.

Picture
answer
  • The capacitance increases.
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K.C.S.E Physics Q & A - MODEL 2014PP2QN01

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP2QN01

​ Figure 1 shows two parallel rays from a distant object passing through a convex lens:
Picture
​(a) Indicate on the diagram, the position of the principal focus of the lens. 
(b) Determine the focal length of the lens. 
answers
Picture
​(b) Focal length = 10 cm.
0 Comments

K.C.S.E Physics Q & A - MODEL 2014PP1QN19

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN19

Figure 11 shows a test—tube whose cross-sectional area is 2 cm2 partially filled with lead shot floating vertically in water.

Picture

(Take gravitational acceleration as 10 ms-2 and density of water p as 1 g cm3)
(a) (i) Determine the:
I volume of the water displaced;
II weight of water displaced.
(ii) State the combined weight of the test—tube and the lead shot.
(iii) Determine the length of the test—tube that would be submerged in a liquid of density 0.8 g cm3
. (b) The set tip in figure 11 can be used as a hydrometer to measure densities of liquids.
State how such a hydrometer would be improved to measure small differences in densities of liquids.

answers
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP1QN18

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN18

​(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. 
(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 of 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; 
Picture
answers
 â€‹(a) Friction between road and tyre.
(b) Increases the centripetal force acting on the bus.
(c) (i) Weight
    Tension
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2014PP1QN17

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN17

Picture

(a) A long horizontal capillary tube of uniform bore sealed at one end contains dry air trapped by a drop of mercury. The length of the air column is 142 mm at 17°C.
Determine the length of the air column at 25°C.
(b) The pressure of the air inside a car tyre increases if the car stands out in the sun for some time on a hot day. Explain the pressure increase in terms of the kinetic theory of gases.
(c) In an experiment to determine the specific latent heat of vaporization of water, steam of mass 10g at 100°C is passed into 100 g of water initially at 20°C in a container of negligible heat capacity. The temperature of the water rises to 70°C.
(Take the specific heat capacity of water as 4.2 X 103 J kg-1 K-1(and the boiling point of water as 100°C)
(i) Determine the specific latent heat of vaporization of water.
(ii) State two sources of error in this experiment.

answers
Picture
​(b) In the hot sun the temperature of the air increases; therefore the speed of the air molecules increases hence the rate of collisions between the molecules and tyre increases; The rate of change of momentum (pressure) of the molecules also increases.
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP1QN16

23/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2014PP1QN16

​Figure 10 shows a trolley of weight 20 N pulled by a force of 4 N from the bottom to the top of an inclined plane at a uniform speed.
Picture
​(a) (i) State the value of the force acting downwards along the inclined plane.
(ii) Explain how the value in part (a) (i) is obtained. 
(b) For the system. determine the:
(i) mechanical advantage; 
(ii) velocity ratio; 
(iii) efficiency. 
answers
Picture
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2014PP1QN15

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN15

​ Figure 9 shows a velocity-time graph for the motion of a body of mass 2 kg
Picture
​(a) Use the graph to determine the:
(i) displacement of the body after 8 seconds. 
(ii) acceleration after point B; 
(iii) force acting on the body in part (a) (ii). 
(b) Sketch a displacement-time graph for the motion from point A to C
answers
Picture
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2014PP1QN14

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN14

​In a smoke cell experiment to demonstrate Brownian motion, smoke particles are seen moving randomly. State the cause of the randomness.
Picture
answer
  •  Collisions / bombardment of particles with air molecules which are in random motion
0 Comments

K.C.S.E Physics Q & A - MODEL 2014PP1QN13

23/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2014PP1QN13

​Figure 8 shows a graph of the variation of temperature with time for a pure substance heated at a constant rate.
Picture
​Assuming that heat transfer to the surroundings is negligible, state the changes observed on the substance in region:
(a) BC; 
(b) DE. 
answers
​(a) BC Solid changes to liquid
(b) DE Liquid changes to vapour
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