A ray of light strikes a glass plate at an angle of 60°. If the reflected and refracted rays are perpendicular to each other then the refractive index of glass is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1.732
According to Snell's law,
$n_1\sin θ_i=n_2\sin θ_t$
where,
$n_1$, Refractive index of Air (Ray initially in air) $n_1=1$
$n_2$, Refractive index of glass.
$θ_i$ = Angle of incidence = 60°
$θ_i+θ_t=90°$ [formula]
$θ_t=30°$
$∴1×\sin 60=n\sin 30$
$n=\frac{\sqrt{3}}{2}×\frac{1}{2}=\sqrt{3}=1.732$