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If wavelengths of light in liquid A and ...

If wavelengths of light in liquid A and B are 3500 Å and 7000 Å respectively, then critical angle of liquid A with respect to liquid B is .....

A

`15^@`

B

`30^@`

C

`45^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
B, C

Refractive index of A w.r.t. B, `(n_B)/(n_A)=n`
but`1/n=(v_A)/(v_B)=(lambda_Af)/(lambda_Bf)` [`because` f is constant]
`therefore1/n=(lambda_A)/(lambda_B)=(3500)/(7000)`
`1/n=1/2`
sinC=`1/2`
`therefore C=sin^(-1)(1/2)`
`thereforeC=30^@`
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