A metal rod is fixed rigidly at two ends, so as to prevent its thermal expansion. If 
and 
respectively denote the length of the rod, coefficient of linear thermal expansion and Young's modulus of its material, then for an increase in temperature of the rod by 
, the longitudinal stress developed in the rod is
A
inversely proportional to 
B
inversely proportional to 
C
directly proportional to 
D
independent of 
Text Solution
Verified by ExpertsThe correct answer is:
C
Strain 
Stress 
where, 
length of the rod,
coefficient of linear thermal expansion
and 
Young's modulus of its material.
So, the longitudinal stress developed in the rod is directly proportional to 
.
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