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When the light enters from air to glass, the angle of incidence and refraction in air and glass are $4 5^{o}$ and $3 0^{o}$ . The refractive index of the glass is

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2

2 \sqrt{2}

\sqrt{2}

None of the above

answer is C.

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Detailed Solution

The refractive index of the glass is

\sqrt{2}

.
Given,
Angle of the incident,

i = 4 5^{o}

Angle of the refraction,

r = 3 0^{o}

Using snell's law

n_{glass} = \frac{Sin i}{Sin r}

\Rightarrow n_{glass} = \frac{Sin 45^{o}}{Sin 30^{o}}

\Rightarrow n_{glass} = \frac{1 / \sqrt{2}}{1 / 2}

\Rightarrow n_{glass} = \sqrt{2}

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