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Light travels in two media A and B with ...

Light travels in two media A and B with speeds `1.8 × 10^(8) m s^(–1) and2.4 × 10^(8) m s^(–1)` respectively. Then the critical angle between them is

A

`sin^(-1) ((2)/(3))`

B

`tan^(-1) ((3)/(4))`

C

`sin^(-1) ((3)/(4))`

D

`sin^(-1) ((1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`v_(B) gt v_(A)`
`therefore` B is the rarer medium and A is the denser medium
`therefore` Ray must travel from A to B for critical angle .
`therefore A^(n) B = (v_(A))/(v_(B)) = (1.8 xx 10^(8))/(2.4 xx 10^(8)) = (3)/(4)`
`therefore A^(n) B = sin C (3)/(4) therefore C = sin^(-1) ((3)/(4))`
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