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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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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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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 2018PP2QN05

29/7/2020

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K.C.S.E Physics Q & A - MODEL 2018PP2QN05

​The angle of incident for a ray of light moving from air to a certain liquid is 30. Given that the refractive index of the Liquid is 1 .36, determine the angle of refraction. 
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2017PP2QN15

28/7/2020

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K.C.S.E Physics Q & A - MODEL 2017PP2QN15

​(a) Figure 5 shows the interface between glass and air.
Picture
​Draw on the figure a ray diagram to illustrate the critical angle. 
(b) Figure 6 shows a ray of light incident at right angles to face AB of a right angled glass prism of refractive index 1.62.
Picture
​(i) Determine the critical angle of the material. 
(ii) Complete the ray diagram to show the path of light until it leaves the prism. 
(c)State any two applications of prisms. 
answers
Picture
Picture
​(c)- Dispersion of white light
- In periscopes
- In Binoculars
- In telescopes
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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 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 2015PP2QN10

24/7/2020

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K.C.S.E Physics Q & A - MODEL 2015PP2QN10

A nail at the bottom of a beaker containing glycerine appears to be 6.8 cm below the surface of glycerine. Determine the height of the column of glycerine in the beaker. (take the refractive index of glycerine as 1.47)
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2013PP2QN06

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2013PP2QN06

Figure 3 shows a ray of light passing into a glass prism ABC.
Picture

Sketch the path of the ray as it travels from face AC. (critical angle for glass is 42o)

answer
Picture
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K.C.S.E Physics Q & A - MODEL 2012PP2QN05

21/7/2020

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K.C.S.E Physics Q & A - MODEL 2012PP2QN05

​Figure 5, shows an object O at the bottom of a beaker full of a liquid. An observer above the beaker sees its image at point X inside the liquid.
Picture
​Determine the refractive index of the liquid.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2012PP2QN02

21/7/2020

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K.C.S.E Physics Q & A - MODEL 2012PP2QN02

Figure 2, shows two mirrors PQ and QR inclined at an angle of 1100. A ray of light is incident on mirror PQ at an angle of 600

Picture

Complete the diagram to determine the angle of reflection of the ray in the mirror QR

answer
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN10

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN10

​Figure 7, shows two rays of light incident normally on face PQ of a glass prism, whose critical angle is 42°.
Picture
​Complete the diagram to show the paths of the two rays as they pass through the prism.
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 2009PP2QN16

17/7/2020

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K.C.S.E Physics Q & A - MODEL 2009PP2QN16

​(a) Figure 10 shows a ray of light incident on a triangular glass prism and white screen S placed after the prism
Picture
​(i) Complete the path of the ray through the prism to show how a spectrum is formed on the screen 
(ii) A thermometer with a blackened bulb is placed at various parts of the spectrum. State with reason the region where the thermometer indicates the highest reading 
(b) A pin is placed at the bottom of a beaker of depth 11.5 cm. The beaker is then filled with kerosene. By using another on the side of the beaker and observing from the top, the distance of the image of the pin in the beaker is found to be 3.5 cm from the bottom. Determine the refractive index of kerosene.
answers
Picture
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K.C.S.E Physics Q & A - MODEL 2009PP2QN02

17/7/2020

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K.C.S.E Physics Q & A - MODEL 2009PP2QN02

Figure 1 shows a ray of light incident on a mirror at an angle of 450. Another mirror is placed at an angle of 450 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 2008PP2QN16

16/7/2020

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K.C.S.E Physics Q & A - MODEL 2008PP2QN16

​(a) State two conditions necessary for total internal reflection to occur 
(b) Figure 9 shows a ray of light incident on the boundary between two media 1 and at an angle
Picture
​Show that the refractive index for a ray of light traveling from medium 1 to medium 2 is given by:
M2 = 1/Sin θ
(c) Figure 10 shows a ray of light incident on one face of a block of ice of refractive index 1. 31 and totally reflected at the adjacent face
Picture
​Determine
(i) Angle Φ 
(ii) Angle x 
(iii) Angle θ, the greatest angle for which the total internal reflection is possible 
answers
Picture
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K.C.S.E Physics Q & A - MODEL 2007PP2QN07

15/7/2020

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K.C.S.E Physics Q & A - MODEL 2007PP2QN07

​ Figure 6 shows a ray of light incident on the face of a water prism
Picture
​Sketch the path of the ray as it passes though the prism
Critical angle for water is 49
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 2006PP2QN19

14/7/2020

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K.C.S.E Physics Q & A - MODEL 2006PP2QN19

​(a) Define the refractive index of a substance 
(b) In an experiment to determine the refractive index of a liquid, the liquid was poured into a measuring cylinder. A pin was placed at the bottom of the cylinder and another pin was used to locate the apparent position of the first pin. The real depth and apparent depth were measured. The experiment was repeated with other values of real depth. The table below shows the results obtained.
Picture
​(i) Plot the graph of real depth against apparent depth 
(ii) From the graph determine the refractive index of the liquid 
(c) Figure 9 shows a ray of light incident on a glass – air interfac
Picture
​Given that the refractive index of the glass is 1.6. Determine angle θ
answers
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2005PP1QN23&24

13/7/2020

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K.C.S.E Physics Q & A - MODEL 2005PP1QN23&24

​Fig 13 shows rays of light AO,BO, and CO incident on a glass-air interface. OA" OB" and OC" are the corresponding emergent rays. Study and answer questions 23 and 24.
Picture
​Determine the critical angles of the glass material
Determine the refractive of index of the glass material.
ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 2004PP1QN24

12/7/2020

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K.C.S.E Physics Q & A - MODEL 2004PP1QN24

​Figure 13 shows a coin placed in a large empty container. And observer looking into the container from the position shown is unable to see the coin
Picture
​Sketch two rays from a point on the coin to show how the observer is able to see the image of the coin after the container if filled with water.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2004PP1QN07

12/7/2020

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K.C.S.E Physics Q & A - MODEL 2004PP1QN07


Figure 5 shows two mirrors inclined at an angle of 600 to each other. A ray of light is shown

Picture
Sketch the same diagram, the path of the ray until it leaves the two mirrors. Indicate the angles at each reflection.
answer
  • Check correct rays with arrows.
  •  at least one angle on each reflecting surface must be marked.
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K.C.S.E Physics Q & A - MODEL 2002PP2QN01

10/7/2020

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K.C.S.E Physics Q & A - MODEL 2002PP2QN01

Figure 1 shows the path of array of yellow light through a glass prism. The speed of yellow light in the prisms is 1.88 x 108m/s.
Picture

a) Determine the refractive index of the prism material for the light (speed of light in vacuum e = 3.0 x 108 ms-1)

b) Show on the figure the critical angle, c, and determine its value.
c) Given that r = 2 1 .2°, determine the angle O
d) On the same figure, sketch the path of the light after striking the prism if the prism was replaced by another of similar shape but lower refractive index. (Use dotted line for your answer)
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2002PP1QN08

10/7/2020

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K.C.S.E Physics Q & A - MODEL 2002PP1QN08


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.

Picture
Complete the path of the two rays from point O. label A" and B" the corresponding rays.
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 2001PP1QN21

9/7/2020

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K.C.S.E Physics Q & A - MODEL 2001PP1QN21

Fig. 15 14 shows a ray of light incident on a glass prism.
Picture
​If the critical angle of the glass is 39 sketch on the same diagram the path of the ray until it emerges from the prism.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2000PP1QN24

8/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2000PP1QN24

​Fig 13. Shows a semicircular glass block placed on a bench. A ray of light is incident at point O as shown. The angle of incidence, I , is just greater than the critical angle of glass.
Picture
​A drop of water is now placed on the bench so as to make contact with the glass at point O. Sketch on the same figure the path followed by the ray after placing the drop of water.
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 1999PP1QN22

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1999PP1QN22

A microscope is focused on a mark on horizontal surface. A rectangular glass block 30mm thick is place on the mark. The microscope is then adjusted to 10mm upwards: to bring the mark back to focus. determine the refractive index of the glass
Picture
ANSWER
Picture
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