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Yellow light with wavefront 0.5 mum is a...

Yellow light with wavefront 0.5` mum` is air surface refraction in a medium in which velocity of light is `2xx10^(-8)m//s`. Then the wavelength of the light in the medium would be .

Text Solution

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`(lambda_(1))/(lambda_(2))=(v_(1))/(v_(2))`
Here, `lambda_(1) = 0 . 5 mu m , v_(1) = 3 xx 10^(8) m//s`
`lambda_(2) = ? (X) , v_(2) = 2 10^(8) m//s`
`(0.5)/(X) = (3 xx 10^(8))/(2 xx 10^(8))`
`rArr x = 0 . 33 mu m `
Note : The frequency remains unchanged .
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Knowledge Check

  • If the refractive index of a medium is 1.7, the velocity of light in that medium is

    A
    `1.765 xx 10^(8)` m/s
    B
    `2.5xx10^(8) m//s `
    C
    `1.1 xx 10^(8) m//s `
    D
    `2.2 xx 10^(8) m//s `
  • What is the refractive index of a medium in which light travels with a speed of 2 xx 10^(8)m//s ?

    A
    `3//2`
    B
    `2//3`
    C
    `1`
    D
    none of these
  • The velocity of light in vacuum is 3 xx 10^8 m//s . Therefore the velocity of light in m/s in a medium of R.I. 1.25 is

    A
    `3.75 xx 10^8`
    B
    `4.25 xx 10^8`
    C
    `1.75 xx 10^8`
    D
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