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 all persons are correct
- (B)Reading recorded by P₃ persons are incorrect✓ Correct
- (C)Reading recorded by P₃ and P₂ persons are incorrect
- (D)Reading recorded by P₄ and P₅ persons are incorrect
Answer: (B)
Solution
A lens of power D has focal length cm, so every valid pair of object and image distances must satisfy (magnitudes). The readings , , and each return within reading error. For an object at cm lies between and , so the image must form beyond cm; the recorded cm instead gives cm, inconsistent with cm. The reading recorded by is incorrect.
JEE Main · 2026 · 24 Jan 2026 · Shift 2 · Single correct option