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Q13 (CDS-II/2017) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Geometrical optics Answer Verified

A ray of light is incident on a plane mirror at an angle of 40° with respect to surface normal. When it gets reflected from the mirror, it undergoes a deviation of

Result
Your answer:  ·  Correct: B
Explanation

The correct answer is Option 2 (100°).

According to the laws of reflection, the angle of incidence (i) is equal to the angle of reflection (r). Given that the ray is incident at 40° to the surface normal, the angle of reflection is also 40°.

The angle of deviation (δ) is defined as the angle between the original path of the incident ray and its reflected path. Mathematically, if a light ray were to travel straight without the mirror, it would cover a total linear angle of 180°. The deviation is calculated using the formula: δ = 180° - (i + r) or δ = 180° - 2i.

  • Substituting the values: δ = 180° - (40° + 40°)
  • δ = 180° - 80°
  • δ = 100°

Option 4 (80°) is incorrect as it represents the total angle between the incident and reflected rays, not the deviation from the original path.

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