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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

Options

  1. AReadings recorded by P ₃ and P ₂ persons are incorrect
  2. BReadings recorded by P₄ and P₅ persons are incorrect
  3. CReadings recorded by all persons are correct
  4. DReadings recorded by P ₃ person are incorrect

Correct answer

D. Readings recorded by P ₃ person are incorrect

Step-by-step solution

For a convex lens with power P = +5 D, the focal length is f = 20 cm. The lens formula is 1 f = 1 u + 1 v = 0.05 cm ⁻¹ . Checking each measurement: P₁ : 1 25 + 1 96 = 0.0504 Correct; P₂ : 1 30 + 1 62 = 0.0494 Correct; P₃ : 1 35 + 1 37 = 0.0556 Incorrect; P₄ : 1 45 + 1 35 = 0.0508 Correct; P₅ : 1 50 + 1 32 = 0.0512 Correct. Only P₃ 's readings do not satisfy the lens formula.

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