A man is standing at the edge of a 1m deep swimming pool, completely filled with a liquid of refractive index `sqrt(3/2)`. The eyes of the man are `sqrt3`m above the ground. A coin located at the bottom of the pool appears to be an angle of depression of `30^@` with reference to the eyes of man. Then horizontal distance (represented by x in the figure) of the coin from the eye of the man is ...........mm.

Options

A. 2000
B. 3000
C. 4000
D. 8000

Answer

C

Explanation

`sin 60^(@)=sqrt(3/2) sin r`
`rArr r=45^(@)`

`:. S=h=1m`
`y=H tan 60^(@) =3m`
`:. x=S+y=4m=4000 mm`