Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A ray successively reflects from two mirrors inclined at 50°. If the angle of incidence on one mirror is 50°, what is net deviation of this ray ?
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: When a ray of light reflects off a mirror, the angle of incidence is equal to the angle of reflection.
Step 2: In this case, the angle of incidence on the first mirror is 50°. Therefore, the angle of reflection (r1) from the first mirror is also 50°.
Step 3: The angle between the two mirrors is given as 50°.
Step 4: The ray approaches the second mirror at an angle given by the difference between the angle of reflection from the first mirror and the inclination of the mirrors:
Angle of incidence on the second mirror (i2) = 180° - (angle between mirrors + r1) = 180° - (50° + 50°) = 80°.
Step 5: The angle of reflection (r2) from the second mirror will also be equal to the angle of incidence on it: r2 = i2 = 80°.
Step 6: Now, to find the net deviation, we consider the total deviation caused by the reflection from both mirrors.
The total deviation = (angle of incidence on the first mirror + angle of incidence on the second mirror) - (angle between the mirrors)
Total deviation = (50° + 80°) - 50° = 80°.
Therefore, the net deviation of the ray is 80°.
Hence, the correct answer is D.
Step 2: In this case, the angle of incidence on the first mirror is 50°. Therefore, the angle of reflection (r1) from the first mirror is also 50°.
Step 3: The angle between the two mirrors is given as 50°.
Step 4: The ray approaches the second mirror at an angle given by the difference between the angle of reflection from the first mirror and the inclination of the mirrors:
Angle of incidence on the second mirror (i2) = 180° - (angle between mirrors + r1) = 180° - (50° + 50°) = 80°.
Step 5: The angle of reflection (r2) from the second mirror will also be equal to the angle of incidence on it: r2 = i2 = 80°.
Step 6: Now, to find the net deviation, we consider the total deviation caused by the reflection from both mirrors.
The total deviation = (angle of incidence on the first mirror + angle of incidence on the second mirror) - (angle between the mirrors)
Total deviation = (50° + 80°) - 50° = 80°.
Therefore, the net deviation of the ray is 80°.
Hence, the correct answer is D.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A student can distinctly see the object upto a distance 15 cm . He wants to see the black board at …
Two plane mirrors. A and B are aligned parallel to each other, as shown in the figure. A light ray …
A concave mirror of focal length is used to obtain the image of the sun which subtends an angle of…
A square of side is placed at a distance of from a concave mirror of focal length The centre of …
A thin rod of length lies along the axis of a concave mirror of focal length One end of its magni…
A ray of light falls on the surface of a spherical glass paper weight making an angle with the nor…