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A certain prism is found to produce a mi...

A certain prism is found to produce a minimum of `38^(@)`. It produces a deviation of `44^(@)` when the angle of incident is either `42^(@)`or `62^(@)`. What is the angle of incidence when it is undergoing minimum deviation?

A

`45^(@)`

B

`49^(@)`

C

`40^(@)`

D

`55^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`i=42^(@) rArre=62^(@)`
`delta=(i+e)-A rArr 44^(@)=(42^(2)+62^(@))-A`
`A=60^(@) rArr delta_(m)=2i-A`
`i=(delta_(m)+A)/(2) rArri=(38^(@)+60^(@))/(2) rArri=49^(@)`
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