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A ray of light of frequency 5 xx 10^(14)...

A ray of light of frequency `5 xx 10^(14)` Hz is passed through a liquid . The wavelength of light measured inside the liquid is found to be 450 nm . Calculate (i) wavelength of light in vacuum (ii) refractive index of liquid (iii) velocity of light in the liquid . Take velocity of light in vacuum as ` 3 xx 10^(8) ms^(-1)`

A

1.5

B

1.33

C

1.25

D

1.8

Text Solution

Verified by Experts

The correct Answer is:
B

`V_(L) = v lambda = 5 xx 10^(14) xx 450 xx 10^(-9)`
`= 225 xx 10^(6) = 2.25 xx 10^(8) m//s`
`therefore n = (C)/(V_(L)) = (3 xx 10^(8))/(2.5 xx 10^(8)) = (4)/(3)`
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