A beaker contains water up to a height `h_1 ` and K oil above water up to another height `h_2.` Find the apparent shift in the position of the bottom of the beaker when viewed from above. Refractive index of water is `mu_1` and that of K.oil is mu_2`.

Options

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

Answer

A

Explanation

Apparent shift : `=h_(1)(1-(1)/(mu_(1)))+h_(2)(1-(1)/(mu_(2)))` .