MEDIUM
12th West Bengal Board
IMPORTANT
Earn 100

A plane mirror is made of a thick plate of glass (u=1.5) of thickness 1.5 cm and silvered on the back. A man is standing 50 cm from the front surface of the mirror. If he looks perpendicularly into it, at what distance behind the front surface of the mirror will his image appear to be? 

Important Questions on Refraction of Light

MEDIUM
12th West Bengal Board
IMPORTANT
A tree branch overhanging a lake at a height h1 is seen by a diver inside water (u=1.33) at a height h2 What is the relation between h1 and h2 ?
EASY
12th West Bengal Board
IMPORTANT
When a small lamp is held 1.5m above the surface of a tank, the image of the lamp seen by reflection at the surface appears to coincide with the image of the bottom of the tank. If the refractive index of water is 4 / 3, calculate the depth of the tank. 
MEDIUM
12th West Bengal Board
IMPORTANT
A ray of light travelling within a rectangular glass block falls on one of the faces of the block at an angle of incidence 30°. Some of the light is reflected internally and the rest emerges into air. Given that the r . i. of glass for the light is 1.5, calculate the angle between the internally reflected ray and the emergent ray.  Sin 48° 40'=0.75
HARD
12th West Bengal Board
IMPORTANT
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.
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]