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Q.

Light enters from the air to dense flint glass, having a refractive index of $1.65$ . What is the speed of light in the dense flint glass? The speed of light in a vacuum is $3 \times 10^{8} m / s .$

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a

4.95 \times 10^{8} m / s

.

b

2.76 \times 10^{8} m / s .

c

1.95 \times 10^{8} m / s .

d

1.82 \times 10^{8} m / s .

answer is D.

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Detailed Solution

The speed of light in the dense flint glass is

1.82 \times 10^{8} m / s .

The absolute refractive index (n) of any material is the ratio of the speed of light in a vacuum to the speed of light in that particular medium.
We know

n = \frac{c}{v}

where n = absolute refractive index of the medium
c = speed of light in vacuum
v = speed of light in that medium
Using this relation, we can find the speed of light in flint glass.

v = \frac{c}{n}

\Rightarrow v = \frac{3 \times 10^{8}}{1.65}

\Rightarrow v = 1.82 \times 10^{8} m / s

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