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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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Knowledge Check

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

    A
    `2.15xx 10^8 m//s`
    B
    `2.5 xx xx 10^8 m//s`
    C
    `2.25 xx 10^8 m//s`
    D
    `1.5 xx 10^8 m//s`

  • The refractive index of glass w.r.t. a medium is 4/3 . If V_m-V_g=6.25 xx 10^(7) m//s , then the velocity of light in the medium will be

    A
    ` 2.5 xx 10^(8) m//s `
    B
    `2.25 xx 10^(8) m//s `
    C
    `1.875 xx10^(8) m//s `
    D
    `1.5xx10^(8) m//s `

  • Refractive index of glass with respect to medium is (4)/(3) . If v_(m) - v_(g) = 6.25 xx 10^(7) m/s., then velocity of light in medium is

    A
    `2.5 xx 10^(8)` m/s
    B
    `1.5 xx 10^(7)` m/s
    C
    `2.25 xx 10^(8)` m/s
    D
    `4.5 xx 10^(7)`m/s

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