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If the critical angle for total internal...

If the critical angle for total internal reflection from a medium to vacuum is `30^(@)`, the velocity of light in the medium is

A

`2 xx 10^(8)` m /s

B

`1.5 xx 10^(8)` m/s

C

`(3)/(4) xx 10^(8)` m/s

D

`(2)/(5) xx 10^(8)` m/s

Text Solution

Verified by Experts

The correct Answer is:
B

If c is the velocity of light in vacuum , then R.I. of the medium `(c)/(v_(m)) `
`therefore v_(m) = (c)/(n) = (3 xx 10^(8))/(n)`
But R.I.(n) = `(1)/(sin c) = (1)/(sin 30^(@)) = (1)/(1//2) = 2`
`therefore v_(m) = ( 3 xx 10^(8))/(2) = 1.5 xx 10^(8)` m/s
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