When a ray of light falls on a given plate at an angle of incidence 60°, the reflected and refracted rays are found to be normal to each other. The refractive index of the material of the plate is:

1.  32

2.  1.5

3.  1.732

4.  2

Subtopic:  Refraction at Plane Surface |
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A medium shows relation between i and r as shown. If the speed of light in the medium is nc then the value of n is:

                  

1. 1.5

2. 2

3.  2–1

4. 3–1/2

Subtopic:  Refraction at Plane Surface |
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In the figure shown the angle made by the light ray with the normal in the medium of refractive index 2 is:
                 
1. 30°

2. 60°

3. 90°

4. None of these

Subtopic:  Refraction at Plane Surface |
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An air bubble in a glass slab with refractive index 1.5 (near-normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is:

1. 8

2. 10

3. 12

4. 16

Subtopic:  Refraction at Plane Surface |
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A plane mirror is placed at the bottom of a fish tank filled with water of refractive index 43. The fish is at a height 10 cm above the plane mirror. An observer O is vertically above the fish outside water. The apparent distance between the fish and its image is:
                         

1. 15 cm

2. 30 cm

3. 35 cm

4. 45 cm

Subtopic:  Refraction at Plane Surface |
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Two slabs P & Q of transparent materials have a thickness in the ratio 2 : 5. If a ray of light takes the same amount of time to move from A to B and B to C, then the refractive index of Q with respect to P will be:

   

1. 0.4 

2. 2.5

3. 1.4

4. 1.85

Subtopic:  Refraction at Plane Surface |
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A fish at a depth y inside the water is seeing a bird. The bird is at a height x above the water level. If the refractive index of water is μ, then the apparent distance of bird as seen by the fish is:

1.  x + μy

2.  y + μx

3.  x + yμ

4.  y + xμ

Subtopic:  Refraction at Plane Surface |
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For a light incident from air on a slab of refractive index 2, the maximum possible angle of refraction is:

1. 30o

2. 45o

3. 60o 

4. 90o

Subtopic:  Refraction at Plane Surface |
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A beam of light composed of red and green rays is incident obliquely at a point on the face of a rectangular glass slab. When coming out on the opposite parallel face, the red and green rays emerge from:

1. Two points propagating in two different parallel directions
2. One point propagating in two different directions through the slab
3. One point propagating in the same direction through the slab
4. Two points propagating in two different non-parallel directions
Subtopic:  Refraction at Plane Surface |
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A diverging beam of light from a point source S having divergence angle α, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is :
   

1. Zero                                       

2. α

3. sin-11/n                           

4. 2sin-1(1/n)

Subtopic:  Refraction at Plane Surface |
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