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A beam of monochromatic ligh first trave...

A beam of monochromatic ligh first travels through glass of R.I. 1.5 and then through water (R.I. `=(4)/(3)`). If the difference in their wavelength in the two media is 40nm, then the wavelength of the monochromatic light in vacuum will be

A

`4000Å`

B

`4400Å`

C

`4800Å`

D

`5200Å`

Text Solution

Verified by Experts

The correct Answer is:
C
`lambda_g=I(lambda_a)/(3//2)=(2)/(3)lambda_a and lambda_w=(3)/(4) lambda_a`
`:. lambda_w-lambda_g= lambda_a[(3)/(4)-(2)/(3)]=(lambda_a)/(12)=40xx10^(-9)`
`:. ""lambda_a=12 xx 40 xx 10^(-9)=4800Å`
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