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Velocity of light in glass whose refract...

Velocity of light in glass whose refractive index with respect to air is 1.5 is `2xx10^(8) m//s` and in certain liquid the velocity of light found to be `2.5xx10^(8) m//s`. The refractive index of the liquid with respect to air is

A

`0.64`

B

`0.80`

C

`1.20`

D

`1.44`

Text Solution

Verified by Experts

The correct Answer is:
C
`"As", ""_(a)mu_(g)=(V_a)/(V_g) " and " ""_(alpha)mu_(l)=(V_a)/(V_l)`
`therefore" "(alphamul)/(alphamug)=(V_a)/(V_(l))xx(V_g)/(V_a)=(V_g)/(V_l)`
`implies (alphamul)/(1.5)=(2xx10^(8))/(2.5xx10^(8))=2/(2.5)`
`alphamul=(2xx1.5)/(2.5)=(2xx3)/5=1.2`
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