A) \[{{\alpha }_{1}}{{\ell }_{2}}={{\alpha }_{2}}{{\ell }_{1}}\]
B) \[{{\alpha }_{1}}\ell _{2}^{2}={{\alpha }_{2}}\ell _{1}^{2}\]
C) \[\alpha _{1}^{2}{{\ell }_{2}}=\alpha _{2}^{2}{{\ell }_{1}}\]
D) \[{{\alpha }_{1}}{{\ell }_{1}}={{\alpha }_{2}}{{\ell }_{2}}\]
Correct Answer: D
Solution :
Change in length for both rods should be same \[\Delta {{\ell }_{1}}=\Delta {{\ell }_{2}}\] \[{{\ell }_{1}}{{\alpha }_{1}}\Delta T={{\ell }_{2}}{{\alpha }_{2}}\Delta T\] \[{{\ell }_{1}}{{\alpha }_{1}}={{\ell }_{2}}{{\alpha }_{2}}\]You need to login to perform this action.
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