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In a diffraction pattern due to a single...

In a diffraction pattern due to a single slit of width a, the first minimum is observed at an angle `30^(@)` when light of wavelength 5000 Å is incident on the slit. The first secondary minimum is observed at an angle of

A

`sin^(-1)((1)/(4))`

B

`sin^(-1)((2)/(3))`

C

`sin^(-1)((1)/(2))`

D

`sin^(-1)((3)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
D
For first minima `sin 30^(@) = (lambda)/(a) = (1)/(2)`
First secondary maxima will be at
`sin theta = (3lambda)/(2a) = (3)/(2)((1)/(2)) rArr theta = sin^(-1)((3)/(4))`
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