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A slit of width is illuminated by white light. For red light `(lambda=6500Å)`, the first minima is obtained at `theta=30^@`. Then the value of will be

A

3200 Ã…

B

`6.5xx10^(-4)mm`

C

1.3 micron

D

`2.6xx10^(-4)cm`

Text Solution

Verified by Experts

The correct Answer is:
C
For first minimum, `a"sin"theta=1lambda`
`a=(lambda)/("sin"theta)=(6.5xx10^(-7))/("sin"30^(@))=13xx10^(-7)=1.3`micron
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