Physics Question from JEE Main 2023 · 24 January, Shift 1

A combination of a thin plano-concave lens and a thin plano-convex lens is used to image an object placed at infinity, so that light reaches the combination as a beam parallel to the principal axis. The beam meets the plano-concave lens first (its plane face towards the incoming light and its concave face towards the second lens); the plano-convex lens stands $40 \, \text{cm}$ further along the axis with its convex face towards the plano-concave lens. The radius of curvature of both lenses is $30 \, \text{cm}$, and the refractive index of the material for both lenses is $1.75$. Due to the combination, the image of the object is formed at distance $x$ cm, from the concave lens.