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JEE Main Physics question

PhysicsMechanical Properties of SolidsJEE Main

Steel wire of length 'L' at is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from to to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is , Young's modulus of steel is and radius of the wire is 1 mm. Assume that diameter of the wire. Then the value of 'm' in kg is nearly

Answer: 3

Solution

For the thermal contraction to exactly cancel the elastic stretch caused by the hanging mass, .

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Question ID VK-155183