The refractive index of the material of a prism is √2 and its refracting angle is 30º. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light enters the prism from the mirrored surface if its angle of incidence of the prism is

30º
45º
60º
0º

Solution

A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will

remain unchanged
become zero
become infinite
become small, but non-zero

Solution

An equiconvex lens is cut into two halves along (i) XOX’and (ii) YOY’ as shown in the figure. Let f, f’, f” be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively

Choose the correct statement from the following

f ' = 2f, f '' = 2f
f' = f, f '' = 2f
f' = 2f, f ''= f
f ' =f, f '' =f

Solution

A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

\(\sqrt{3/2}\)
\(\frac{(\sqrt{3})+1}{2}\)
\(\frac{(\sqrt{2})+1}{2}\)
√5/2

Solution

An air bubble in a glass slab (μ = 1.5) is 5cm deep when viewed from one face and 2 cm deep when viewed from the opposite face. The thickness of the slab is

7.5 cm
7.5 cm
7 cm
10 cm

Solution

The radius of curvature of a thin plano-convex lens is 10 cm(of curved surface) and the refractive index is 1.5. If the plane surface is silvered, then it behaves like a concave mirror of focal length

10 cm
15 cm
20 cm
5 cm

Solution

Light enters at an angle of incidence in a transparent rod of refractive index n. For what value of the refractive index of the material of the rod the light once entered into it will not leave it through its lateral face whatsoever be the value of angle of incidence?

n > √2
n = 1
n = 1.1
n = 1.3

Solution

A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lensa convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it?

12 cm
30 cm
50 cm
60 cm

Solution

An electromagnetic radiation of frequency n, wavelength l,travelling with velocity v in air enters in a glass slab of refractive index(m). The frequency, wavelength and velocity of light in the glass slab will be respectively’

n,^λ⁄_μ and ^v⁄_μ
n,2λ and ^v⁄_μ
ⁿ⁄_μ,^λ⁄_μ and ^v⁄_μ
^2π⁄_μ , ^λ⁄_μ and v

Solution

One face of a rectangular glass plate 6 cm thick is silvered. An object held 8cm in front of the first face, forms an image 12 cm behind the silvered face. The refractive index of the glass is

Solution

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