question_answer

A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young?s modulus is Y and coefficient of linear expansion is \[\alpha \]. If the temperature of the rod is increased by \[\Delta {{t}^{o}}C,\] the force exerted by the rod on the supports is [MP PMT 2001]

A)             \[Y\,A\,L\,\Delta t\]

B)                      \[Y\ A\ \alpha \,\Delta t\]

C)             \[\frac{YL\alpha \Delta t}{A}\]

D)                      \[Y\alpha \,A\,L\,\Delta t\]