A small fish 0.4 m below the surface of a lake is viewed through a simple converging lens of focal length 3 m.the lens is kep at 0.2 m above the water surface such that the fish lies on the optical axis of the lens. Find the image of the fish seen by the observed. `(mu_(water)=(4)/(3))`

Options

A. A distance of 0.2 m from the water surface
B. A distance of 0.6 m from the water surface
C. A distance of 0.3 m from the water surface
D. The same location of fish

Answer

D

Explanation

Apparent distance of fish from lens
`u = 0.2 + (h)/(n) = 0.2 + (0.4)/(4//3) = 0.5 ` m
From `(1)/(f) = (1)/(v) - (1)/(u) rArr (1)/(v) = (1)/(3) - (1)/(0.5) rArr v = -0.6` m
Image of the fish is still where the fish is 0.4 m below the water surface.