HARD
12th West Bengal Board
IMPORTANT
Earn 100

A ray of light incident on a glass plate from air is partially reflected and partially refracted. The angle between the reflected and the refracted ray is found to be 90°. What is the angle of incidence if the refractive index of glass is 1.5.

Important Questions on Refraction of Light

HARD
12th West Bengal Board
IMPORTANT
A tank contains a slab of glass 8 cm thick and of r . i .1 .6. Above this is a depth of 4.5 cm of a liquid of r.i. 1.5 and upon this floats 5 cm of water μ=43. To an observer looking from above, what is the apparent position of a mark on the bottom of the tank.
HARD
12th West Bengal Board
IMPORTANT
A rectangular glass vessel, full of water has width 60 cm. Looking through two opposite walls normally, a fish appears to the 30 cm and 15 cm inside water. Find the actual distances of the fish from the walls and also the refractive index of water. 
MEDIUM
12th West Bengal Board
IMPORTANT
On the top of a rectangular block (μ=3) is placed another rectangular block of same dimension and of refractive index μ . A small coin is placed beneath the first block. What should be the value of u so that looking vertically from above, the coin may appear to remain at the interface of the two blocks? 
HARD
12th West Bengal Board
IMPORTANT
What is the apparent position of an object below a rectangular block of glass 6 cm thick if a layer of water 4 cm thick is on top of the glass? [μ for glass =1.5 and for water =1.34] 
MEDIUM
12th West Bengal Board
IMPORTANT
A transparent liquid of refractive index 3 is taken in a beaker and upon it is poured another liquid of refractive index. 32. What will be the critical angle between the liquids?
HARD
12th West Bengal Board
IMPORTANT
A 20 mm thick layer of water (μ=4/3) floats on a 35 mm thick layer of another liquid μ=75 in a tank. If a small coin lies at the bottom of the tank, at what depth below the top surface of water the coin will appear to lie? (Deduce the necessary formula) 
HARD
12th West Bengal Board
IMPORTANT
A fish is a depth $h$ in a still pond. Prove that the free surface of the pond will appear to the eye of the fish like a plane mirror with a circular hole and the radius of the hole is hn2-1.
HARD
12th West Bengal Board
IMPORTANT
Light from a luminous point on the lower face of a rectangular glass slab 3 cm Thick, strikes the upper face and the totally reflected rays outline a circle of 4.8 cm Radius on the lower face. What is the refractive index of the glass?