First slide

Ray optics

Question

A ray of light falls at angle of incidence 60° on one face of prism of angle 30°. Emerging ray makes an angle of 30° with incident ray. The refractive index of material of prism is

Moderate

A

1.25
B

1.33
C

1.55
D

1.73

Solution

$g i v e n i_{1} = 60^{0}, A = 30^{0}, D = 30^{0} D = i_{1} + i_{2} - A s o l v i n g f o r i_{2} a n d i_{2} = 0 t h e n r_{2} = 0 a n d r_{1} = A = 30^{0} μ = \frac{\sin (i_{1})}{\sin (r_{1})} = \frac{\sin (60^{0})}{\sin (30^{0})} = \sqrt{3}$

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