JEE Main 2022 Physics question

PhysicsMechanical Properties of SolidsJEE Main 2022

A uniform heavy rod of mass 20 kg, cross sectional area 0.4 and length 20 m is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight is m. The value of x is . (Given Young's modulus and g = 10 )

Answer: 25

Solution

The tension varies linearly along the rod, so = MgL/(2AY). Then

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Question ID VK-025038