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  • kcse form 2 mathematics questions

The figure below shows the path of a ray of light passing through a rectangular glass block placed in air

23/10/2021

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​The figure below shows the path of a ray of light passing through a rectangular glass block placed in air

Picture

​Calculate the refractive index of glass (2mks)

Picture



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Two capacitors of capacitance 2 μF 1μF are connected in parallel. A p.d of 3V is applied  across them. Find the energy stored in the combination.

23/10/2021

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Two capacitors of capacitance 2 μF 1μF are connected in parallel. A p.d of 3V is applied  across them. Find the energy stored in the combination.  (2mks)

Picture



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The figure below shows an object placed in front of a concave mirror. By use of correct ray diagram, locate the position of image

23/10/2021

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​The figure below shows an object placed in front of a concave mirror. By use of correct ray diagram, locate the position of image

Picture

Solution

Picture



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The figure bellows shows a wave profile for a wave whose frequency is 2HZ

23/10/2021

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The figure bellows shows a wave profile for a wave whose frequency is 2HZ

Determine the value of t3(s) (2mks)

Picture

Solution

Picture



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The figure below shows two parallel magnets with unlike poles adjacent to each other. Sketch the magnetic field pattern around the magnets

23/10/2021

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​The figure below shows two parallel magnets with unlike poles adjacent to each other. Sketch the magnetic field pattern around the magnets (2mks)

Picture

Solution

Picture



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Define Radio-activity

21/10/2021

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​(a) Define Radio-activity (2mks)

Radioactivity is the spontaneous disintegration of a nucleus releasing 
alpha, beta and gamma radiations accompanied by the release of energy

​(b) When carrying out experiments with radioactive substances the source should never be held with bare hands but with forceps. Explain? (1mk)



​Radioactive substances are harmful to body cells when ingested 
Picture

​(i) Plot on the graph paper provided the graph of the count rate (y-axis) against time

Picture
A graph of count Rate against time(s)
A graph of count Rate against time(s)

​(ii) From the graph, determine the half-life of Radon-220 (1mk)

​Half-life of radon 220=54 sec + 2 (showing on graph a must)

​(e) The diagram in the figure below shows paths taken by three radiations A,B and C from a radioactive isotope through an electric field.

The diagram in the figure below shows paths taken by three radiations A,B and C from a radioactive isotope through an electric field.

​(i) State the charge on plate Y (1mk)

  • ​Negative

​(ii) Identify the radiations A and C (2mks)

  • A- Beta particles
  • B-Alpha particles 

​(iii) Give a reason why C deviates more than A (1mk)

C more massive than A



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A 240v mains transformer  has 800 turns in the primary and N turns in the secondary. It is used to supply energy to a 12v/21w lamp

21/10/2021

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(a) A 240v mains transformer  has 800 turns in the primary and N turns in the secondary. It is used to supply energy to a 12v/21w lamp. ​

(i) Calculate the number of turns in the secondary (2mks)

(ii) What is the efficiency of the transformer if the current drawn from the 240V mains is 100mA (2mks)



Picture
The circuit above shows a step-down transformer used to light a lamp of resistance
The circuit above shows a step-down transformer used to light a lamp of resistance.

​Calculate.

(i) the reading of voltmeter, V, with, S, open (2mks)

(ii) the reading of the ammeter A with S closed (neglect the effective resistance of the secondary winding) (2mks)

(iii) the power dissipated in the lamp (2mks)

(iv) the primary current if the transformer is 90% efficient (3mks)

Picture



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State two advantages of a C.R.O as a voltmeter

21/10/2021

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​(a) State two advantages of a C.R.O as a voltmeter

  • ​Measures both D.C and A.C (1mk)
  • ​Its accurate and does not take any current (1mk)

​(b) A television tube is a cathode ray tube modified. State two modifications



  • Presence of magnetic coils
  • Incoming signal from the aerial is fed into the grid

​(c) State the functions of the following parts of a C.R.O

(i) Grid

  • Grid controls brightness of the spot

(ii) X-plates

  • horizontal displacement
  • time base control

(iii) Fluorescent screen

  • Identify the position of the electron beam

​(d) A modern X-ray tube is shown below

Picture

​(i) Name the parts labeled A-D (2mks)

A

​Copper Anode  

B

​Tungsten Target 

C

​Filament

D

​Cooling fins  

​(ii) Give the functions of:- (1mk)

(i) Shielding with lead

​Lead absorbs the radiation (1mk)

(ii) Evacuating the tube

Prevents collisions, avoid secondary electrons (1mk)



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Distinguish between a p-type and n-type semi conductors

21/10/2021

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​(a) Define doping (1mk)

​Process of introducing foreign element (impurity) into a pure semi-conductor,

​(b) Distinguish between a p-type and n-type semi conductors (2mks)



Distinguish between a p-type and n-type semi conductors

​(c) Using a diagram illustrate a forward P-N junction (2mks)

​(d) The figure below shows a bridge circuit 

A capacitor has been connected across the resistor as shown
A capacitor has been connected across the resistor as shown

​(i) Sketch of the figure below the wave form when a CRO is connected across the resistor, R

Picture

​(ii) On the same axes, sketch a wave form when C.R.O is connected across R when the capacitor has been removed (1mk)

Picture



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Explain why bulbs in along corridor are not wired in series

21/10/2021

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​(a) Explain why bulbs in along corridor are not wired in series (2mks)

  • High resistance, dim light
  • When one goes off, all others go off


​(b) An electric cooker has an oven rated 2500w, a grill rated 1500w and two plates each of 1000W. This cooker operates directly from 240v supply. What is the costs of operating all the parts at once for 30 minutes if electricity costs sh.10.00 per unit? (3mks)

Picture

​(c) Study the figure below

Picture

​(i) What name is given to the fitting in the diagram (1mk)

​3 pin plug

​(ii) Identify the parts labeled (2mks)

A

​Neutral wire

B

​Earth wire 

C

​Live wire 

D

​Fuse



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Give two advantages of a circuit breaker instead of a fuse in domestic  wiring

21/10/2021

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Give two advantages of a circuit breaker instead of a fuse in domestic  wiring (2mks)

  • It disconnects current immediately unlike the fuse that takes time  to melt
  • It is not damaged 



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​State the conditions for generation of e.m.f from a magnet

21/10/2021

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​State the conditions for generation of e.m.f from a magnet (2mks)

  • Relative movement of magnet and coil/charge of flux
  • Complete circuit



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The following is a part of a radio-active series

20/10/2021

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​The following is a part of a radio-active series

Picture

​Identify the radiation r, find the values of c and d (3mks)

r

​r is βeta particle

c

​c is 206

d

​d is 82



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​State two uses of optical fibres whose working relies on total internal reflection

20/10/2021

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​State two uses of optical fibres whose working relies on total internal reflection (2mks)

  1. Communicating data
  2. Endoscope (inspection of internal organs)



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​Give a reason why gases are poor transmitters of sound

20/10/2021

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​Give a reason why gases are poor transmitters of sound (1mk)

​Molecules in gases are much further apart



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Other than penetrating powers, state two differences between soft and hard X-rays

20/10/2021

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​Other than penetrating powers, state two differences between soft and hard X-rays (2mks)

  • Hard X-ray have short wavelength and are produced at high voltages (1mk)
  • Soft X-rays have longer wavelength and are produced at lower voltages (1mk)

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Two mirrors are inclined at 60 degrees centigrade to each as shown:

20/10/2021

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Two mirrors are inclined at 60o to each as shown:

Two mirrors are inclined at 60 degrees centigrade to each as shown:


Complete the ray diagram to show how it travels after striking the two mirrors and find the angle of reflection on each surface (2mks)

Solution

Picture

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K.C.S.E Physics Q & A - MODEL 2019PP2QN19

15/10/2020

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K.C.S.E Physics Q & A - MODEL 2019PP2QN19

​(a) Define half life  as used in radioactivity. 
(b) Figure 13 shows a device used to detect radioactivity by forming tracks when air is ionised.
Picture

(i) State the name of the device shown.
(ii) State how air in the device gets ionised.
(iii) Describe how tracks are formed
(c) (i) State two factors that determine the speed of the photoelectrons emitted from a metal surface
(ii) The energy of a photon of light is 2.21 eV. (electronic charge is 1.6x10-19C and planks constant h is 6.63x10-34Js)
I. Express this energy in joules.
II. Determine the frequency of the light that produces the photon.

answers
​(a) Half life is the time taken for half the number of nuclides initially present in a sample to decay
(b). (ii) Expansion closed chamber
(ii) Due to collisions between the molecules from the radiations source and the air molecules
(iii) When the piston is pulled down air expands hence cools.
(c)(i) The work function of the metal
 Energy of incident radiation frequency/wavelength
Picture
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K.C.S.E Physics Q & A - MODEL 2019PP2QN18

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP2QN18

(ii) Describe how a magnet can be demagnetised using the electrical method. 
(b) You are provided with two iron bars P and Q. One of the bars is magnetized while the other is not. Explain how themagnetized bar can be identified without using a magnet or magnetic material. 
(c)Figure 12 shows two identical copper coils X and Y placed close to each other. Coil X is connected to a DC power supply while coil Y is connected to a galvanometer.
Picture
​Explain what is observed on the galvanometer When the Switch is closed.
(ii) State What is observed on the galvanometer when the switch is opened. 
(iii) State what wou1d be observed if the number of turns in coil Y is doubled.
answers
​(a) Place the bar magnet inside a solenoid placed in the an East-West direction then pass an alternating current through the solenoid 
(b) Suspend each of the bars through its center of gravity and set it swinging in a horizontal plane shows a vertical axis through its centre
The magnetized bar will always come to rest in a north-south direction
(c) (i) The galvanometer pointer first deflects then moves back when the switch is closed a current builds up in a coil X and due to change influx linkage an emf is induced in coil Y making an induced current to flow through the galvanometer  during the time current in coil X is rising. When current through coil X is steady no induced current flows through the galvanometer since there is no change in flux linkage
Therefore pointer deflects back
(ii) Pointer deflects in the opposite direction.
(iii) Magnitude of deflection increases
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K.C.S.E Physics Q & A - MODEL 2019PP2QN17

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP2QN17

(a) Figure 10 shows a ray of light travelling from glass to air.
Picture
​Determine the:
(i) critical angle of the glass — air interface 
(ii) refractive index of glass 
(b) Apiece of metal is embedded at the centre of an ice block 15cm from the surface of the ice. Given that the refractive index of ice is 1.32, determine how far from the surface of the ice block the metal appears to be. 
(c) Figure 11 shows, two  rays of incident on a diverging lens.
Picture
Complete the  ray diagram to show the path of the rays after passing through the lens.
(d) (i) State two differences between the human eye and a camera lens. 
(ii) State the name of the part of the eye that enable the lens to focus images of objects at different distances. â€‹
ANSWERS
Picture
Picture
​(d)(i) Eye has a variable focal length whole the focal length of camera lens is fixed
 Image distance from the lens is almost constant in the eye while in a camera it can be varied
Eye lens is muscle while glass/clear plastic
(ii) Ciliary muscles
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K.C.S.E Physics Q & A - MODEL 2019PP2QN16

31/7/2020

2 Comments

 

K.C.S.E Physics Q & A - MODEL 2019PP2QN16

​(a) Define the following terms as used in waves:
(I) Amplitude 
(ii) Wavelength 
(b) Figure 8 shows water waves approaching a straight reflector at a speed of 40 cm/s.
Picture
​(I) Draw on the diagram the reflected waves. 
(ii) Given that the distance between the source and the reflector is 15 cm determine:
I. the wavelength of the waves 
II. the frequency of the waves 
(c) Figure 9 Shows light rays from two coherent sources S1 and S2 falling on a screen.
Dark and bright fringes are observed between A and B
Picture
​(i) State how:
I. bright fringes are formed 
II. dark fringes are formed 
(ii) State what is observed when light of a higher frequency is used.
ANSWERS
(a)(i)Amplitude is the maximum displacement of a particle from  the mean position
(ii)Wavelength is the distance between two successive points in a wave  which are in phase
OR
Distance between two successive crests or troughs in a transverse
Wave/between rarefaction or compressions in a longitudinal wave.
Picture
Picture
(c)(I) due to constructive interference
(II) due to destructive interference
(ii) The fringes get closer
OR
When the frequency is higher the wavelength reduces hence the fringe separation decreases
2 Comments

K.C.S.E Physics Q & A - MODEL 2019PP2QN14

31/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2019PP2QN14

​Figure 6 shows radiation from the sun passing through glass in a greenhouse onto the floor. The floor then emits radiation
Picture
​State the name of the radiation emitted by the floor. 
answer
  • Infrared
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State the disadvantage using a convex mirror as a driving mirror

31/7/2020

0 Comments

 
K.C.S.E Physics Q & A - MODEL 2019PP2QN13

State the disadvantage using a convex mirror as a driving mirror

Picture
answer
  • Shows the object as being further than its actually is
0 Comments

K.C.S.E Physics Q & A - MODEL 2019PP2QN12

31/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2019PP2QN12

​ Uranium decays as shown below.
Picture
​Name the particle X that is emitted during this decay. 
answer
  • Apha particle
0 Comments

K.C.S.E Physics Q & A - MODEL 2019PP2QN11

31/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2019PP2QN11

​Figure 5 shows part of the lighting circuit in a house.
Picture
​State two errors in the wiring circuit. 
answers
  • Fuse in the neutral wire instead of the live wire
  • Switch to lamp A on the neutral wire instead of live wire.
  • Connection of lamp B on Live wires only
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