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The minimum deviation produced by a holl...

The minimum deviation produced by a hollow prism filled with a certain liquid is found to be `30^(@)`. The light ray is also found to be refracted at angle of `30^(@)`. The refractive index of the liquid is

A

`sqrt2`

B

`sqrt3`

C

`(sqrt3)/2`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`"For minimum deviation position of prism",
A=2r=2xx30^(@)=60^(@)`
`mu=(sin""((A+delta)/(2)))/(sin""(A/2))=(sin""((60+30)/(2)))/(sin""(60/2))`
`=(sin45^(@))/(sin30^(@))`
`"or "mu=1/(sqrt2)xx2/1=sqrt2`
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