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Standard X

Physics

Absolute and Relative Refractive Index

A ray of ligh...

Question

A ray of light is incident on a medium with angle of incidence i and refracted into a second medium with angle of refraction r. The graph of sin(i) v/s sin(r) is shown below. The ratio of speed of light in medium 1 to medium 2 is

\frac{1}{\sqrt{3}}

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\sqrt{3}

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

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Solution

The correct option is B $\sqrt{3}$
Refractive index, $μ = \frac{sin 1}{sin r} = \frac{v_{1}}{v_{2}} = S l o p e o f t h e g r a p h$
sin(i) v/s sin(r)
$\Rightarrow \frac{v_{1}}{v_{2}} = tan 60 ° = \sqrt{3}$ $\Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{3}$ Therefore, the ratio of speed of light in medium 1 to medium 2 is $\sqrt{3}$ .
Hence, the correct answer is option (b).

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A ray of light is incident on a medium with angle of incidence i and refracted into a second medium with angle of refraction r. The graph of sin(i) v/s sin(r) is shown below. The ratio of speed of light in medium 1 to medium 2 is

The correct option is B √3Refractive index, μ=sin 1sin r=v1v2=Slope of the graph sin(i) v/s sin(r) ⇒v1v2=tan 60°=√3⇒v1v2=√3Therefore, the ratio of speed of light in medium 1 to medium 2 is √3. Hence, the correct answer is option (b).