Young's double slit experiment is conducted in a liquid of refractive index `mu_1` as shown in figure. A thin transparent slab of refractive index `mu_2` is placed in front of the slit `s_2`. The magnitude of optical path difference at 'O' is

Options

A. `|((mu_(2))/(mu_(1))-1)t|`
B. `|((mu_(1))/(mu_(2))-1)t|`
C. `|(mu_(2)-mu_(1))t|`
D. `|(mu_(2)-1)t|`

Answer

C

Explanation

`(S_(1)O)_("optical")=mu_(1)(S_(1)O)`
`(S_(2)O)_("optical")=mu_(1)(S_(2)O)-t+mu_(2)t`