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  • PQR is a right angled prism with other angles as   and <img alt="30^{\circ}" src="htt

PQR is a right angled prism with other angles as 60^{\circ}  and 30^{\circ} . Refractive index of prism is 1.5. PQ has a thin layer of liquid. Light falls normally on the face PR. For total internal reflection, maximum refractive index of liquid is

Option: 1

1.4


Option: 2

1.3


Option: 3

1.2


Option: 4

1.6


Answers (1)

best_answer

For TIR at PQ:  \mathrm{ \quad \theta>C}
From the geometry of figure: \mathrm{\theta=60^{\circ}} 
So,  \mathrm{ 60^{\circ}>C \Rightarrow \sin 60^{\circ}>\sin C}

\mathrm{ \Rightarrow \frac{\sqrt{3}}{2}>\frac{\mu_{\text {Liquid }}}{\mu_{\text {Prism }}} \Rightarrow \mu_{\text {Liquid }}<\frac{\sqrt{3}}{2} \times \mu_{\text {Prism }} \Rightarrow \mu_{\text {Liquid }}<\frac{\sqrt{3}}{2} \times 1.5 \Rightarrow \mu_{\text {Liquid }}<1.3 \text {. } }

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shivangi.bhatnagar

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