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The frequency of a light wave in a mate...

The frequency of a light wave in a material is `4 xx 10^(14)` Hz and wavelength is 5000 Å . What is the refractive index of the material ?

A

`1.40`

B

`1.50`

C

`1.6`

D

`1.33`

Text Solution

Verified by Experts

The correct Answer is:
B
Given : `v = 4 xx 10^(14)` Hz and `lambda = 5000` Å = ` 5 xx 10^(-7)` m
`therefore v _("material") = v lambda = 4 xx 10^(14) xx 5 xx 10^(-7)`
`= 20 xx 10^(7) = 2 xx 10^(8)` m/s
`therefore n = (c)/(v_(m)) = (3 xx 10^(8))/( 2 xx 10^(8)) = 1.5`
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Knowledge Check

  • The frequency of light wave in a material is 2 xx 10^(14) Hz and wavelength is 5000 Å. The refractive index of material will be:

    A
    `1.40`
    B
    `1.50`
    C
    `3.00`
    D
    `1.33`

  • The frequency of a light wave in a material is 2xx10^(14)Hz and wavelength is 5000 Å . The refractive index of material will be

    A
    `1.40`
    B
    `1.50`
    C
    `3.00`
    D
    `1.33S`

  • The frequency of a light wave in a material is 2xx10^(14) Hz and wavelength is 5000 overset@A . The refractive index of material will be

    A
    1.4
    B
    1.5
    C
    3
    D
    1.33

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