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In the figure given, a ray of light is incident from medium A to medium B, Refractive Index of medium B about medium A is ____.

$The given figure shows a ray of light as it travels from medium A to medium B. Refractive index of the medium B relative to medium A is:$

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Detailed Solution

In the figure given, a ray of light is incident from medium A to medium B; the Refractive Index of medium B about medium A is

\frac{\sqrt{3}}{\sqrt 2}

.
Snell’s Law states that “in a given pair of media, the ratio of the sins of the angle of incidence

θ 1

and angle of refraction

θ 2

is equivalent to the ratio of refractive indices (

n

) of two media”.
Given,
The angle of incidence,

i = 60 °

The angle of refraction,

r = 45 °

From the figure,

n = \frac{sin i}{sin r}

\Rightarrow \frac{\sin 60 °}{\sin 45 °}

\Rightarrow \frac{\sqrt{3}}{\sqrt 2} .

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