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The R.I. of the glass w.r.t. glycerine i...

The R.I. of the glass w.r.t. glycerine is `((1.5)/(1.4))` . What is the speed of light in glycerine , if the speed of light in glass is `2 xx 10^(8)` m/s ?

A

`1.75 xx 10^(8) m// s`

B

`2.142 xx 10^(8) m//s `

C

`2.25 xx 10^(8) m//s`

D

`1.95 xx 10^(8) m//s`

Text Solution

Verified by Experts

The correct Answer is:
B
Let g and l denote the glass and glycerine respectively
Then `""_(l) n_(g) = (1.5)/(1.4)`
But `""_(i) n_(g) = (v_(l))/(v_(g)) therefore (1.5)/(1.4) = (v_(l))/(2 xx 10^(8))`
`therefore v _(l) = 2 xx 10^(8) xx (1.5)/(1.4) = (3)/(1.4) xx 10^(8)`
`therefore v_(l) = 2.142 xx 10^(8)` m/s
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