First slide

Ray optics

Question

For an angle of incidence $θ$ on an equilateral prism of refractive index $\sqrt{3}$ the ray refracted is parallel to the base inside the prism. The value of $θ$ is

Easy

A

$30^{0}$
B

$60^{0}$
C

$45^{0}$
D

$90^{0}$

Solution

$A = 60^{o} μ = \sqrt{3}$ if refracted ray is parallel to base $r_{1} = r_{2} = 30^{o}$
$\sin i_{1} = μ \sin r_{1}$ solving $i_{1} = 60^{o}$

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