In Young's double-slit experiment, the y-coordinate of central maxima and 10th maxima are 2 cm and 5 cm, respectively, When the YDSE apparatus is immersed in a liquid of refreactive index 1.5, the corresponding y-coordinates will be

Options

A. `2 cm, 7.5 cm`
B. `3cm, 6 cm`
C. `2 cm, 4 cm`
D. `4//3 cm, 10//3 cm`

Answer

C

Explanation

Distance between central maximum and `10 th` maximum `= 5 - 2 = 3 cm`. When `YDSE` apparentus is immersed in liquid of `mu = 1.5 = 3//2 , lambda` becomes `(2)/(3)` and fringe width also becomes `(2)/(3)`.
The position of central max remains unchanged i.e., at `y = 2 cm` but `10th` maximum shrinks to
`y = 2 + (2)/(3) (3) = 4 cm`