Light of wavelength `6000 A^(@)` is incident on a single slit. The first minimum of the diffraction pattern is obtained at 4 mm from the centre. The screen is at a distance of 2 m from the silt. The slit width will be

Options

A. `0.3mm`
B. `0.2mm`
C. `0.15mm`
D. `0.1mm`

Answer

A

Explanation

From, `a sin theta = n lambda` ,
`a(x)/(D) = n lambda` or `a = (n lambda D)/(x) = (1xx6000xx10^(-10)xx2)/(4xx10^(-3))`
`:. A = 3xx10^(-4)= 0.3mm`