A beaker contains water up to a height `h_(1)` and kerosene of height `h_(2)` above water so that the total height of (water + kerosene) is `(h_(1) + h_(2))` . Refractive index of water is `mu_(1)` and that of kerosene is `mu_(2)` . The apparent shift in the position of the bottom of the beaker when viewed from above is :-

Options

A. `(1-(1)/(mu_(1)))h_(2)+(1-(1)/(mu_(2)))h_(1)`
B. `(1+(1)/(mu_(1)))h_(1)+(1+(1)/(mu_(2)))h_(2)`
C. `(1-(1)/(mu_(1)))h_(1)+(1-(1)/(mu_(2)))h_(2)`
D. `(1+(1)/(mu_(1)))h_(2)-(1+(1)/(mu_(2)))h_(1)`.

Answer

C