a ray of light strikes a surface and is reflected such that the angle between the incident ray and the reflected ray is 30 degrees. a. what is the angle of incidence? b. what is the angle of reflection?
Answers
Answer:
A ray of light is incident towards a plane mirror at an angle of 30-degrees with the mirror surface. ... The angle of reflection is 60 degrees. (Note that the angle of incidence is not 30 degrees; it is 60 degrees since the angle of incidence is measured between the incident ray and the normal.)
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The angle of incidence as well as the angle of reflection is equal to 15°.
Given:
The angle between the incident ray and the reflected ray is 30°.
To Find:
(a) The angle of incidence.
(b) The angle of reflection.
Solution:
→ The angle between the incident ray and the normal is known as angle of incidence. Whereas the angle between the reflected ray and the normal is known as angle of reflection.
→ According to the laws of reflection, the angle of incidence is always equal to the angle of reflection.
∴ If the angle of incidence is equal to 'θ', then the angle of reflection would also be equal to 'θ'.
- Angle of incidence = θ
- Angle of reflection = θ
→ The angle between the reflected ray and the incident ray = θ + θ = 2θ
∴ 2θ = 30°
∴ θ = 15°
→ The value of 'θ' comes out to be equal to 15°.
Therefore the angle of incidence as well as the angle of reflection is equal to 15°.
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