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A ray of light travels a distance of 12.0 m in a transparent sheet in 60 ns. The refractive index of the sheet is ______. - Physics

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Question

A ray of light travels a distance of 12.0 m in a transparent sheet in 60 ns. The refractive index of the sheet is ______.

Options

  • 1.33

  • 1.50

  • 1.65

  • 1.75

MCQ
Fill in the Blanks

Solution

A ray of light travels a distance of 12.0 m in a transparent sheet in 60 ns. The refractive index of the sheet is 1.50.

Explanation:

The refractive index can be calculated as,

`mu = c/v`

Where µ is the refractive index, c is the speed of light in air, `v` is the speed of light in the second medium.

Given: Distance d = 12 m, time t = 60 ns = 60 × 10-9 sec

`v = "distance"/"time"`

`v = (12/60) xx 10^9`

`v = (1/5) xx 10^9` m/s

`mu = (3 xx 10^8)/((1"/"5) xx 10^9)`

`mu = 3 xx 10^8 xx 5 xx 10^-9`

μ = 1.5

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