Light of wavelength `5000xx10^(-10)m` is incident normally on a slit. The first minimum of the diffraction pattern is observed to lie at a distance of 5 mm from the central maximum on a screen placed at a distance of 3m from the slit. Then the width of the slits is

Options

A. `3cm`
B. `0.3cm`
C. `0.03cm`
D. `0.01cm`

Answer

C

Explanation

`a sin theta = n lambda, a (Y)/(D)= n lambda a = (n lambda D)/(Y)`