A metal wire of length l and area of cross-section 
is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be-
Text Solution
Verified by ExpertsThe correct answer is:
C
Let 
coefficient of thermal expansion, 
Young modulus of the wire. If the wire were free to contract, its decrease in length would be lat, where 
decrease in temperature. To maintain constant lengt, lat becomes the effective elongation
∴ strain 
lαt 
Let T = tension
∴ stress 
T/A
Using Y = stress/strain,
T = YAαt.
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