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The refractive index of glass w.t.r. a m...

The refractive index of glass w.t.r. a medium is `4/3` . If `v_m - v_g = 6.25 xx 10^(7)`m/s. then the velocity oflight in the medim will be

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`""_(m) n_(g) = (V_(m))/(V_(g)) = (4)/(3) therefore V_(m) = (4)/(3) V_(g)`
`therefore V_(m) - V_(g) = V_(g) ((4)/(3) - 1) = (V_(g))/(3)`
`therefore (V_(g))/(3) = 6.25 xx 10^(7) therefore V_(g) = 1.875 xx 10^(8) `m/s
`V_(m) = (4)/(3) V_(g) = 2.5 xx 10^(8)` m/s
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