A brass wire of length 2 m and radius 1 mm at 
is held taut between two rigid supports. Initially it was cooled to a temperature of 
creating a tension 
in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 
, is 
.
Text Solution
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Thermal stress in the wire is caused by contraction.
At 
, the temperature drop from 
is 
It creates tension 
where Y is Young's modulus and 
is linear expansion coefficient. For tension to increase to 1.4 T , the new temperature drop must be: 
.
Required temperature: 
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