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JEE Main Physics question

PhysicsMechanical Properties of SolidsJEE Main

A load of 40 kg is suspended from a wire of radius and density . Calculate the change in temperature (in kelvin) of the wire, if 75\% of the work done is converted into heat, given that the Young's modulus and heat capacity of the material of the wire are and respectively. (Take and .)

Answer: 0.02

Solution

Work done in stretching, , and the heat absorbed by the wire's own mass () raises its temperature: . The length cancels: $Δ

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Question ID VK-155206