When a ray of light falls on a given plate at an angle of incidence \(60^{\circ}\), 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. \(3^{-\frac{1}{2}}\)
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. \(30^{\circ}\)

2. \(60^{\circ}\)

3. \(90^{\circ}\)

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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