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.  $\frac{\sqrt{3}}{2}$

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 $\sqrt{2}$ 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 $\frac{4}{3}$. 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 $\mathrm{\mu }$, then the apparent distance of bird as seen by the fish is:

1.  x + $\mathrm{\mu }$y

2.  y + $\mathrm{\mu }$x

3.  x + $\frac{\mathrm{y}}{\mathrm{\mu }}$

4.  y + $\frac{\mathrm{x}}{\mathrm{\mu }}$

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 $\alpha$, 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. $\alpha$

3. ${\mathrm{sin}}^{-1}\left(1/n\right)$

4. $2{\mathrm{sin}}^{-1}\left(1/n\right)$

Subtopic:  Refraction at Plane Surface |
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