A concave mirror produces an image of an object such that the distance between the object and image is 20 cm…
- $30\mathrm{~cm}$
- $3.75\mathrm{~cm}$
- $15\mathrm{~cm}$
- $7.5\mathrm{~cm}$
Solution

$\begin{aligned} & m=-3=-\frac{u}{v} \\ & u=-x \\ & v=-3 x \\ & \Rightarrow 2 x=20 \mathrm{~cm}\end{aligned}$
$\begin{aligned} & x=10 \mathrm{~cm} \\ & f=\frac{u V}{u+V}=\frac{(-10)(-30)}{(-10)+(-30)}=-7.5 \mathrm{~cm} \\ & f=-\frac{R}{2} \\ & R=-2 f=15 \mathrm{~cm}\end{aligned}$
Asked in: JEE Main 2025 (28 Jan Shift 2)