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JEE Main Physics question

PhysicsMechanical Properties of SolidsJEE Main

A thick 100 m long wire of density and radius 10 cm is used in an elevator to lift a load. A cabin of elevator of mass 5000 kg is attached to the end of the wire. The elongation of the wire in m is . Find C. (Take Young's modulus of wire , .)

Answer: 43.85

Solution

Total elongation elongation due to the hanging cabin elongation due to the wire's own weight: , with . Computing:

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Question ID VK-155222