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
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]
- A
$\frac{F}{{A\alpha \,\Delta T}}$
- B
$\frac{F}{{A\alpha \,\left( {\Delta T - 273} \right)}}$
- C
$\frac{F}{{2A\,\alpha \,\Delta T}}$
- D
$\frac{2F}{{A\,\alpha \,\Delta T}}$
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