The velocity of light in a medium is half its | vedclass

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(B) The refractive index $\mu$ of the medium is given by $\mu = \frac{c}{v}$,where $c$ is the velocity of light in air and $v$ is the velocity in the

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$30$

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(B) The refractive index $\mu$ of the medium is given by $\mu = \frac{c}{v}$,where $c$ is the velocity of light in air and $v$ is the velocity in the medium.Given $v = \frac{c}{2}$,we have $\mu = \frac{c}{c/2} = 2$.For total internal reflection to occur,the angle of incidence $i$ must be greater than the critical angle $c_{angle}$.The critical angle is given by $\sin(c_{angle}) = \frac{1}{\mu} = \frac{1}{2}$.Thus,$c_{angle} = \sin^{-1}(0.5) = 30^o$.Therefore,the angle of incidence must be greater than or equal to $30^o$ for total internal reflection to occur.

The velocity of light in a medium is half its velocity in air. If a ray of light emerges from such a medium into air,the angle of incidence,at which it will be totally internally reflected,is ......... $^o$

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