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Light propagates 2 cm distance in glass ...

Light propagates 2 cm distance in glass of refractive index 1.5 in time `t_(0)`. In the same time `t_(0)`, light propagates a distance of 2.25 cm in medium. The refractive index of the medium is

A

`4//3`

B

`3//2`

C

`8//3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

For a given time, optical path remains constant.
`therefore mu_(1)x_(1)=mu_(2)x_(2)`
`rArr 1.5xx2=mu_(2)xx2.25`
`rArr mu_(2)=(1.5xx2)/(2.25)=(4)/(3)`
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Knowledge Check

  • Light propagates 4 cm distance in glass of refractive index 1.5 in time t_(0) . In the same time t_(0) light propagates a distance of 4.8 cm in a medium. The refractive index of the medium is

    A
    1.25
    B
    1.5
    C
    1.7
    D
    0.867
  • The speed of light in a medium of refractive index 1.5 is ________.

    A
    `1.5 xx 10^(8) m//s`
    B
    `3.0 xx 10^(8) m//s`
    C
    `2.0 xx 10^(8) m//s`
    D
    `1.2 xx 10^(8) m//s`
  • If c is the velocity of light in free space, the time taken by light to travel a distance x in a medium refractive index mu is

    A
    `(x)/(c)`
    B
    `(mux)/(c)`
    C
    `(x)/(muc)`
    D
    `(c)/(mux)`
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