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The refractive index of a given transparent medium is 1.5 . The speed of light in the medium is equal to
Question

The refractive index of a given transparent medium is 1.5 . The speed of light in the medium is equal to

A.

4.5×10^8 " " m/sec

B.

2×10^8 " " m/sec

C.

3×10^8 " " m/sec

D.

0.5×10^8 " " m/sec

Correct option is B

The correct answer is (b) 2×108m/sec2×10^8 m/sec

​​The refractive index (n) of a medium is defined as the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v).

The formula to calculate the speed of light in the medium is

V= CN\frac{C}{N}

Solution:

Refractive index (n) = 1.5

​​Speed of light in vacuum (c) = 3×108m/s3\times 10^8 m/s

v = 3×108m/s1.5\frac{3\times 10^8 m/s}{1.5}

v= 2 ×108m/s\times 10^8 m/s

So, the speed of light in the medium is ​​2 ×108m/s\times 10^8 m/s 

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