Five persons P₁, P₂, P₃, P₄ and P₅ recorded object distance (u) and image distance (v) using same convex lens having power +5D as (25,96), (30,62), (35,37), (45,35) and (50,32) respectively. Identify correct statement
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Question

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

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G1 Physics · Accepted Answer

The lens power is P = +5 D. Therefore, f = 1/P = 1/5 m = 20 cm. For a real object and a real image formed by a convex lens, using magnitudes, 1/f = 1/u + 1/v. Check the observations. For u = 25 cm, v = fu/(u-f) = 20×25/(25-20) = 100 cm, which is close to the recorded 96 cm. For u = 30 cm, v = 20×30/(30-20) = 60 cm, which is close to 62 cm. For u = 35 cm, v = 20×35/(35-20) = 700/15 ≈ 46.7 cm. The recorded value is only 37 cm, so this reading is inconsistent. For u = 45 cm, v = 20×45/(45-20) = 36…