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Question

Physics Question on Ray optics and optical instruments

A prism has a refracting angle of 6060{}^\circ . If it produces a minimum deviation of 3030{}^\circ in an incident ray, the angle of incidence is

A

1515{}^\circ

B

3030{}^\circ

C

4545{}^\circ

D

6060{}^\circ

Answer

4545{}^\circ

Explanation

Solution

Given: angle of prism A=60A=60^{\circ}, minimum deviation δm=30\delta_{m}=30^{\circ} \therefore Angle of incidence i=A+δm2i =\frac{A+\delta_{m}}{2} =60+302=45=\frac{60^{\circ}+30^{\circ}}{2}=45^{\circ}