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Q.

A ray of light falls on a plane mirror. When the mirror is turned about an axis at right angles to the plane of the mirror by 20° , the angle between incident ray and new reflected ray is 45° . The angle between the incident ray and original reflected ray is (3 + x) or (83 + x) ° . The value of x is

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answer is 2.

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Detailed Solution

2i2θ=45° 

2i=45+40

2i=85

Angle between incident ray and original reflected ray = 85°

2i+40=45

2i=5°

Answer = 5° or 85°

 

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A ray of light falls on a plane mirror. When the mirror is turned about an axis at right angles to the plane of the mirror by 20° , the angle between incident ray and new reflected ray is 45° . The angle between the incident ray and original reflected ray is (3 + x) or (83 + x) ° . The value of x is