A rod of length $L$ at room temperature and uniform area of cross section $A$, is made of a metal having coefficient of linear expansion $\alpha {/^o}C$. It is observed that an external compressive force $F$, is applied on each of its ends, prevents any change in the length of the rod, when it temperature rises by $\Delta \,TK$. Young’s modulus, $Y$, for this metal is
JEE MAIN 2019, Medium
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$\Delta L = L \propto \Delta T$
$Strain = \frac{{\Delta L}}{L} = \propto \Delta T\,\,;\,\,Y = \frac{F}{{A \propto \Delta T}}$
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