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PhysicsJEE Main 2 Apr 2026, Shift 1·Q24·Numerical·Easy–moderate

Mechanical Properties of Solids · Elasticity

A uniform wire of length ll of weight ww is suspended from the roof with a weight of WW at the other end. The stress in the wire at l3\dfrac{l}{3} distance from the top is (WA+2γwA)\left(\dfrac{W}{A} + \dfrac{2}{\gamma}\dfrac{w}{A}\right), where, AA is the cross sectional area of the wire. The value of γ\gamma is .
We corrected a printing error in the original paper

Answer corrected; the source key is (6) — it takes the weight of the wire below the point as w/3w/3, but at l/3l/3 from the top the wire below weighs 2w/32w/3, so the stress is W/A+23 w/AW/A + \frac{2}{3}\,w/A and γ=3\gamma = 3.

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