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A light ray incidents on a plane mirror with incident angle θ. What will be reflected angle and angle of deviation for this light ray respectively?

A light ray incidents on a plane mirror with incident angle θ. What will be reflected angle and angle of deviation for this light ray respectively? Correct Answer θ, 180 - 2θ 

CONCEPT:

  • Plane Mirror: A mirror with a flat reflective surface is known as a plane mirror.
  • According to the law of reflection, the incident ray, reflected ray, and the normal to the mirror, all lie on the same plane.
  • Also the angle of the incident (i) = angle of reflection (r)
  • The deviation angle is given by:

⇒ δ = 180 - (i + r)

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CALCULATION:

Given that i = θ 

so angle of the incident (i) = angle of reflection (r)

⇒ Reflected angle (r) = i = θ 

⇒ Deviation angle (δ) = 180 - (i + r)

⇒ δ = 180 - (θ + θ)

⇒ δ = 180 - 2θ 

  • So the correct answer is option 3.

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