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Q. An underwater swimmer is at a depth of 12 m below the surface of water. A bird is at a height of 18 m from the surface of water, directly above his eyes. For the swimmer the bird appears to be at a distance of .....from the surface of water. (Refractive index of water is 4/3):

KEAMKEAM 2001

Solution:

$ _{g}{{\mu }_{a}}=\frac{actual\text{ }depth}{apparent\text{ }depth} $
Apparent depth $ =\frac{18}{\frac{3}{4}}=\frac{18\times 4}{3}=24\,m $