A ray of light is incident on 'a plane mirror at an angle of 20o. This mirror is rotated through, twice this angle, In this new position the angle between the incident ray and the reflected ray is
20o
40o
80o
120o.
Explanation
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Let's go through this step by step carefully.
Given:
Angle of incidence = 20°
Mirror is rotated by twice this angle, meaning:
2
×
20
°
=
40
°
2×20°=40°
Key Concept:
When a plane mirror is rotated by an angle
𝜃
θ, the reflected ray rotates by
2
𝜃
2θ.
Here, since the mirror is rotated by 40°, the reflected ray rotates by:
2
×
40
°
=
80
°
2×40°=80°
Finding the Total Angle:
The original angle between the incident ray and the reflected ray (before rotating the mirror) is:
Angle of incidence
+
Angle of reflection
=
20
°
+
20
°
=
40
°
Angle of incidence+Angle of reflection=20°+20°=40°
After rotation, the new total angle between the incident ray and the reflected ray is:
40
°
+
80
°
=
120
°
40°+80°=120°
Correct Answer:
D. 120°

∖ Ⅰ ∕ ∕
∖ Ⅰ ∕ ∕
∖ Ⅰ ∕ ∕
∖ Ⅰ ∕ 80⁰ ∕
∖20 ⁰ Ⅰ 20 ⁰ ∕ (2X40) ∕
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
20+20+80 = 120⁰

Let's go through this step by step carefully.
Given:
Angle of incidence = 20°
Mirror is rotated by twice this angle, meaning:
2
×
20
°
=
40
°
2×20°=40°
Key Concept:
When a plane mirror is rotated by an angle
𝜃
θ, the reflected ray rotates by
2
𝜃
2θ.
Here, since the mirror is rotated by 40°, the reflected ray rotates by:
2
×
40
°
=
80
°
2×40°=80°
Finding the Total Angle:
The original angle between the incident ray and the reflected ray (before rotating the mirror) is:
Angle of incidence
+
Angle of reflection
=
20
°
+
20
°
=
40
°
Angle of incidence+Angle of reflection=20°+20°=40°
After rotation, the new total angle between the incident ray and the reflected ray is:
40
°
+
80
°
=
120
°
40°+80°=120°
Correct Answer:
✅ D. 120°




