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In a double slit experiment, when light ...

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be `0.2^(@)`, what will be the angular width of the first minima, if the entire experimental apparatus is immersed in water ? `(mu_("water")=4//3)`

A

`0.1^@`

B

`0.266^@`

C

`0.15^@`

D

`0.05^@`

Text Solution

Verified by Experts

The correct Answer is:
C
We know that for double slit experiment,
angular width for the first minima = `lambda/(2a)`, hence it is proportional to wavelength `(lambda)`.
`(theta)/(theta.) =(lambda)/(lambda.) = (lambda)/(lambda//mu) = mu`
`theta. = (theta)/(mu) = (0.2)/(4//3) = 0.15^@`.
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