state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Physics Mechanical Properties of Solids Elastic moduli
A metal rod of length \(L\) and cross-sectional area \(A\) is heated through \(T^{\circ}C\). What is the force required to prevent the expansion of the rod lengthwise?
\(Y =\) Young's modulus of the material of rod, \(\alpha\) - coefficient of linear expansion
1
\(\dfrac {YA\alpha T}{(1 - \alpha T)}\)
2
\(\dfrac {YA\alpha T}{(1 + \alpha T)}\)
3
\(\dfrac {(1 - \alpha T)}{YA\alpha T}\)
4
\(\dfrac {(1 + \alpha T)}{YA\alpha T}\)
5
Question Not Attempted