A convex lens has power P. It is cut into two halves along its… | JEE Main 2022 (27 Jun, Shift 2)

Q42JEE Main 2022 · 27 JUN · SHIFT 2Medium

Combination of Lenses

A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the reported pieces.

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Answer: (a)

Cutting along the principal axis keeps both curved surfaces: L1 has power $P$ .
Cutting that half perpendicular to the axis gives plano-convex pieces: L2 and L3 each have power $\frac{P}{2}$ .
Statements 'L2 = P/2', 'L3 = P/2' and 'L1 = P' are correct; the incorrect one is 'L1 = P/2'.
So the answer is (a).

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Combination of Lenses question from JEE Main 2022 (27 Jun, Shift 2)

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