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Question: is refractive index of a medium is 2.4 and c=3x10^8 find speed of light in medium...

is refractive index of a medium is 2.4 and c=3x10^8 find speed of light in medium

Answer

1.25 x 10^8 m/s

Explanation

Solution

The refractive index (nn) of a medium is defined as the ratio of the speed of light in vacuum (cc) to the speed of light in the medium (vv).

The formula is:

n=cvn = \frac{c}{v}

Given n=2.4n = 2.4 and c=3×108c = 3 \times 10^8 m/s.

Rearranging the formula to find vv:

v=cnv = \frac{c}{n}

Substitute the given values:

v=3×108 m/s2.4v = \frac{3 \times 10^8 \text{ m/s}}{2.4}

v=1.25×108 m/sv = 1.25 \times 10^8 \text{ m/s}