WBJEE · Physics · Ray Optics
A ray of light strikes a glass plate at an angle of \(60^{\circ}\). If the reflected and refracted rays are perpendicular to each other, the refractive index of glass is
- A \(\frac{\sqrt{3}}{2}\)
- B \(\frac{3}{2}\)
- C \(\frac{1}{2}\)
- D \(\sqrt{3}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
Here, angle of incidence is \(60^{\circ}\) \[ \mu=\frac{\sin i}{\sin r} \] \(\sin i=\mu \sin r\) here, \[ \begin{aligned} r &=90-i \\ \sin i &=\mu \sin \left(90^{\circ}-i\right)=\mu \cos i \\ \mu &=\frac{\sin i}{\cos i}=\tan i=\tan 60^{\circ} \\ \mu &=\sqrt{3} \end{aligned} \]
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