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Light of wavelength 6000 A^(@) is incide...

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

A

0 . 3 m m

B

0 . 2 m m

C

0 . 15 m m

D

0 . 1m m

Text Solution

Verified by Experts

The correct Answer is:
A
From , a `sin theta = n lambda`
`a(x)/(D) = n lambda` or
`a = (n lambda D)/(x) = (1 xx 6000 xx 10^(-10) xx 2)/(4 xx 10^(-3))`
`:. a = 3 xx 10^(-4) = 0 . 3 ` m m
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