R P Goyal and S P Tripathi Solutions for Chapter: Refraction of Light at Plane Surfaces, Exercise 3: EXERCISE-4(C)

A tank of water is viewed normally from above. State how does the depth of tank appear to change. Draw a labelled ray diagram to explain your answer.

Water in a pond appears to be only three – quarters of its actual depth. What property of light is responsible for this observation? Illustrate your answer with the help of a ray diagram. How is the refractive index of water calculated from its real and apparent depth?

Draw a ray diagram to show the appearance of a stick partially immersed in water. Explain your answer.

A fish is looking at a $1.0 \mathrm{m}$ high plant at the edge of a pond. Will the plant appear to the fish shorter or taller than its actual height? Draw a ray diagram to support your answer.

A water pond appears to be $2.7 \mathrm{m}$ deep. If the refractive index of water is $\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$, find the actual depth of the pond.

A coin is placed at the bottom of a beaker containing water (refractive index $= 4/3$) to a depth of $12 \mathrm{cm}$. By what height the coin appears to be raised when seen from vertically above?

A postage stamp kept below a rectangular glass block of refractive index $1.5$ when viewed from vertically above it, appears to be raised by $7.0 \mathrm{mm}$. Calculate the thickness of the glass block.

An object placed in one medium when seen from the other medium, appears to be vertically shifted. Name two factors on which the magnitude of shift depends and state how does it depend on them.