Each quarter of a vessel of depth `H` is filled with liquids of the refractive indices `n_(1),n_(2), n_(3)` and `n_(4)` from the bottom respectively. The apparent depth of the vessel when looked normally is

Options

A. `("H"(n_(1)+ n_(2)+ n_(3)+ n_(4)))/(4)`
B. `(H((1)/(n_(1)) + (1)/(n_(2)) + (1)/(n_(3)) + (1)/(n_(4))))/(4)`
C. `((n_(1) + n_(2) + n_(3) + n_(4)))/(4H)`
D. `(H((1)/(n_(1)) + (1)/(n_(2)) + (1)/(n_(3)) + (1)/(n_(4)) ))/(2)`

Answer

B

Explanation

`d_("app") = (d_("actual"))/(n) = (H)/(4) [ (1)/(n_(1)) + (1)/(n_(2)) + (1)/(n_(3)) + (1)/(n_(4)) ]` .