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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 `
`:. n=(C)/(V_L)=(3 xx 10^(8))/(2.25 xx 10^(8))=(4)/(3)`
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