Previous year Questions on Ray Optics

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Question 1

An air bubble in glass slab (μ= 1.5) when viewed from one side appears to be at 6 cm and from opposite side 4 cm. The thickness of glass slab is:

• A10 cm
• B6.67 cm
• C15 cm
• DNone

Question 2

The refractive index of water is (4/3) and that of glass is (3/2). If the speed of light in glass is 2 × 10⁸ m/s. The speed of light in water will be:

• A1 × 10⁸ m/s
• B(9/4) × 10⁸ m/s
• C(8/3) × 10⁸m/s
• D4 × 10⁸ m/s

Question 3

A small angle prism has a prism angle |A| = 4 ° and refractive index = 1.5. It is placed with its base horizontal in front of a vertical mirror. A horizontal ray of light passes through the prism and is reflected back from the mirror. By what angle the mirror should be rotated so that the reflected ray becomes horizontal?

• A1 °
• B3 °
• C6 °
• D9 °

Question 4

A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to (3/4) of the angle of prism. The angle of deviation is:

• A40 °
• B70 °
• C39 °
• D30 °

Question 5

The refracting angle of a prism is A and refractive index of material of a prism is cot A/2. The angle of minimum deviation is

• A180 ° – 3 A
• B180 ° + 2 A
• C90 ° – A
• D180 ° – 2 A

Question 6

When the surface of the lake is calm, a fish, submerged in water will see the entire outside world within an inverted cone whose apex is situated at the eye of the fish and what angle cone subtends at eye of fish : ( µ_W = 4/3)

• A10 º
• B60 º
• C98 º
• D30 º

Question 7

A ray of light moving along the unit vector (– – 2) undergoes refraction at an interface of two media, which is the x-z plane. The refractive index for y > 0 is 2 while for y < 0, it is / 2. The unit vector along which the refracted ray moves is -

• A
• B
• C
• Dnone of these

Question 8

A fish rising vertically with speed 3 ms^–1 to the surface of the water, observe a bird diving vertically towards the water with speed 9 ms^–1 . Find the actual velocity of the dive of the bird is -
Given _aμ_W = . 

• A6 ms^–1
• B4 ms^–1
• C8.4 ms^–1
• D4.5 ms^–1

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