Five persons P₁, P₂, P₃, P₄ and P₅ recorded object distance (u) and image distance (v) using same convex lens having power +5 D as (25, 96), (30, 62), (35, 37), (45, 35) and (50, 32) respectively. Identify correct statement (a) Readings recorded by P₃ and P₂ persons are incorrect (b) Readings recorded by all persons are correct (c) Readings recorded by P₃ person are incorrect (d) Readings recorded by P₄ and P₅ persons are incorrect

Answer: (c). P = +5 D ⇒ f = 20 cm, and v = (uf)/(u - f) (magnitudes). u = 25 → v = 100; u = 30 → v = 60; u = 45 → v = 36; u = 50 → v = 33.3: all close to the readings. u = 35 → v = (35 × 20)/(15) ≈ 46.7 cm, but P₃ recorded 37 cm. So the answer is (c) only P₃ is incorrect.

Five persons P₁, P₂, P₃, P₄ and P₅ recorded object distance (u) and… | JEE Main 2026 (24 Jan, Shift 2)

Q17JEE Main 2026 · 24 JAN · SHIFT 2Medium

Spherical Surfaces & Thin Lenses

Five persons $P_1, P_2, P_3, P_4$ and $P_5$ recorded object distance $(u)$ and image distance (v) using same convex lens having power +5 D as $(25, 96), (30, 62), (35, 37), (45, 35)$ and $(50, 32)$ respectively. Identify correct statement

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Answer: (c)

$P = +5$ D $\Rightarrow f = 20$ cm, and $v = \frac{uf}{u - f}$ (magnitudes).
$u = 25 \to v = 100$ ; $u = 30 \to v = 60$ ; $u = 45 \to v = 36$ ; $u = 50 \to v = 33.3$ : all close to the readings.
$u = 35 \to v = \frac{35 \times 20}{15} \approx 46.7$ cm, but $P_3$ recorded 37 cm.
So the answer is (c) only $P_3$ is incorrect.

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