A) 5 : 3
B) 1 : 2
C) 9 : 4
D) 3 : 2
Correct Answer: D
Solution :
Suppose l is the original length of the rod. Suppose these are heated up to \[{{t}^{o}}C\]. Now, increase in length \[=\alpha lt\] Where a is the coefficient of linear expansion of the rod. Now, strain \[=\alpha lt/l=\alpha t\] We know that Stress = Y \[\times \] strain = \[Y\alpha t\] According to question, stresses are equal for the two rods if \[{{Y}_{1}}{{\alpha }_{1}}t={{Y}_{2}}{{\alpha }_{2}}t\] or \[\frac{{{Y}_{1}}}{{{Y}_{2}}}=\frac{{{\alpha }_{2}}}{{{\alpha }_{1}}}=\frac{3}{2}\]You need to login to perform this action.
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