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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 refreaction r. The graph of sin i vs sin r is shown in the figures. Then the veloci

A ray of light is incident on a medium with angle of incidence i and refracted into a second medium with angle of refreaction r. The graph of sin i vs sin r is shown in the figures. Then the velocity of light in the first medium is n times the velocity of light in the second medium. The value of n should be.

Option: 1

\sqrt{3}

 

 

 


Option: 2

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


Option: 3

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


Option: 4

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


Answers (1)

best_answer

As we learn

Law of Refraction -

Incident ray, the normal to any refracting surface at the point of incidence & refracted ray all lie in one plane.

-

 Fron snell's law :

\mu_{1}, \sin i =\mu_{2}\sin r\Rightarrow \frac{\mu_{2}}{\mu_{1}}=\frac{\sin i}{\sin r}

\Rightarrow \tan 60^{0}= \frac{\sin i}{\sin r}=\frac{\mu_{2}}{\mu_{1}}\Rightarrow\frac{\mu_{1}}{\mu_{2}}=\frac{1}{\sqrt{3}}

\mu = \frac{c}{v}\Rightarrow \frac{\mu_{1}}{\mu_{2}}=\frac{v_{2}}{v_{1}}=\frac{1}{\sqrt{3}}

\Rightarrow v_{1}=\sqrt{3}v_{2}

 

Posted by

avinash.dongre

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