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A ray incident at a point at an angle of...

A ray incident at a point at an angle of incidence of `60^(@)` enters a glass sphere of refractive index `sqrt(3)` and is reflected and refracted at the farther surface of the sphere. The angle between the reflected and refracted rays at this surface is

A

`50^(@)`

B

`60^(@)`

C

`90^(@)`

D

`40^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Refraction at P,`sin60^(@)/sinq=sqrt3`
`implies sin_(r1) impliesr_(1)=30^(@)`
reflactio at Q, `sinr_(2)/sini_(2)=1/sqrt3`
putting `R_(2)= 30^(@)` we obtain `i_(2)=60^(@)`
Reflaction at Q, `r_(2) =r_(2)`
`:.alpha=180^(@)-(r_(2)+i_(2))=180^(@)-(30^(@)+60^(@))=90^(@)`
Hence (C) is correct
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