JEE Advanced 2011 Physics question
Steel wire of length 'L' at 40 °C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40 °C to 30 °C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is /°C, Young's modulus of steel is and radius of the wire is 1 mm. Assume that L >> diameter of the wire. Then the value of 'm' in kg is nearly
Answer: 3
Solution
The extension produced by the load must equal the thermal contraction on cooling. Elastic extension: . Thermal contraction: . Equating: $
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