Home Physics Ray Optics Mix A linear object AB is placed inclined to the…
Physics Ray Optics Mix Subjective Type
Published on: September 12, 2026

A linear object AB is placed inclined to the principal axis at an angle 60° in front of concave mirror of R = 20 cm as shown in figure. Find angle made by image A'B' with principal axis.

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B
Step 1: First, we need to determine the focal length of the concave mirror. Given the radius of curvature (R) is 20 cm, the focal length (f) is given by the formula:
$$ f = \frac{R}{2} = \frac{20}{2} = 10 \text{ cm} $$
Step 2: The object AB is inclined at 60° to the principal axis. The image A'B' will also be inclined at an angle. According to the mirror formula:
$$ \frac{1}{f} = \frac{1}{u} + \frac{1}{v} $$
where 'u' is the object distance (which we'll consider to be negative since the object is in front of the mirror) and 'v' is the image distance.
Step 3: If the object is placed at a distance 'u', the angles at which the rays hit the mirror will determine the approximate angles of the image. The image will be inverted, and thus the angle of image A'B' will be:
$$ \text{Angle of image A'B'} = 180° - \text{angle of object AB} = 180° - 60° = 120° $$
Step 4: Therefore, the angle made by image A'B' with the principal axis is:
$$ 120° - 90° = 30° $$
Thus, the angle with respect to the principal axis is 30°.
Final Calculation: Since we derived that the angle A'B' with respect to the principal axis is 30°, we can conclude that the image is clearly at this angle. Therefore, the answer is:
Therefore, the correct angle made by image A'B' with the principal axis is 30°, or in the context of the options, B.

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.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.