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Calculate speed of light in water of ref...

Calculate speed of light in water of refractive index `4//3`. Given speed of light in air `= 3 xx 10^(8) m//s`.

Text Solution

Verified by Experts

The correct Answer is:
`2.25 x 10^(8)m//s`
Here, `.^(a)n_(w) = 4//3, v_(a) = 3 xx 10^(8) m//s, v_(w) = ?`
From `.^(a)n_(w) = (v_(a))/(v_(w))`
`v_(w) = v_(a)/(.^(a)n_(w)) = (3xx 10^(8))/(4//3) = 2.25 xx 10^(8) m//s`
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Knowledge Check

  • The refractive index of water is 4//3. The speed of light in water is

    A
    `1.50xx10^8 m//s`
    B
    `1.78xx10^8 m//s`
    C
    `2.25xx10^8 m//s`
    D
    `2.67xx10^8 m//s`

  • Glass has refractive index (3)/(2) and water has refractive index (4)/(3) . If the speed of light in glass is 2 . 00 xx 10^(8) m/s the speed of light in water in m/s is

    A
    `1 . 5 xx 10 ^(8)`
    B
    ` 1 . 78 xx 10 ^(8)`
    C
    ` 2 . 25 xx 10 ^(8)`
    D
    ` 2 . 67 xx 10 ^(8)`

  • Light travels through water with a speed of 2.25 xx 10^(8)m//s . What is the refractive index of water ? Given speed of light in vacuum = 3xx10^(8)m//s .

    A
    1.41
    B
    1.47
    C
    1.33
    D
    1.5

    • Similar Questions

    Explore conceptually related problems

    What will be the speed of light in water if it is given that the refractive index of water is 4/3 and the speed of light in air is 3 xx 10^(8) m/s?

    (a) Define absolute refractive index of a medium. (b) Light enters from air into water which has a refractive index of 1.33 (or (4)/(3)) . Calculate the speed of light in water. The speed of light in air is 3.0 xx 10^(8) m//s .

    Light enters from air into diamond, which has a refractive index of 2.42 . Calculate the speed of light in diamond. The speed of light in air is 3 xx10^(8)m//s .

    (a) What is the speed of light in water of refractive index 4//3 ? (b) Light travels in a medium with a velocity of 2xx10^(8)m//s . What is refractive index of the medium?

    What is the speed of light in a medium of refractive index 6/5 if its speed in air is 3,00,000 km/s?

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