Physics · Geometrical Optics

JEE Main 2025 — 28 January, Evening Shift — Question 57

A concave mirror produces an image of an object such that the distance between the object and image is 20 cm . If the magnification of the image is ' -3 ', then the magnitude of the radius of curvature of the mirror is :

  1. Option A:

    3.75cm

  2. Option B:

    3.0cm

  3. Option C:

    7.5cm

  4. Option D:

    15cm

    Correct

Answer: D

Step-by-step solution

m=−3=−vu\mathrm{m}=-3=-\frac{\mathrm{v}}{\mathrm{u}} and v−u=20 cm\mathrm{v}-\mathrm{u}=20 \mathrm{~cm}

f=vuv+u=(−30)(−10)−30−10\mathrm{f}=\frac{\mathrm{vu}}{\mathrm{v}+\mathrm{u}}=\frac{(-30)(-10)}{-30-10}

∴R=+15\therefore \mathrm{R}=+15

images

Solution figure

Answer key and solution verified before publishing.

Practise Geometrical Optics

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Exam
JEE Main 2025
Subject
Physics
Chapter
Geometrical Optics
Topic
Reflection of Light at Curved Surfaces and Spherical Mirrors
A concave mirror produces an image of an object such that the… | JEE Main 2025 PYQ with Solution · DhiX AI