Question

the refractive index of diamond is 2.42 and that of Glass is 1.5 find the ratio of velocity of light in glass with the velocity of light in diamond?
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Answer 1

The velocity of light in a medium can be calculated using the formula:

v = c / n

where c is the velocity of light in a vacuum and n is the refractive index of the medium.

So, the velocity of light in diamond is:

v_diamond = c / n_diamond = c / 2.42

And the velocity of light in glass is:

v_glass = c / n_glass = c / 1.5

To find the ratio of the velocity of light in glass to that in diamond, we divide v_glass by v_diamond:

v_glass / v_diamond = (c / n_glass) / (c / n_diamond) = n_diamond / n_glass = 2.42 / 1.5 = 1.613

Therefore, the velocity of light in glass is 1.613 times slower than the velocity of light in diamond.

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