A Rod of Length L with... |JEE Main 2019 | Thermal Expansion

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JEE Main 2019

9-01-2019 S1

Question

A rod, length $L$ at room temperature and uniform area of cross section $A$, is made of a metal having coefficient of linear expansion $\alpha /{ }^{\circ} \mathrm{C}$. 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 its temperature rises by $\Delta T k$. Young's modulus, $Y$, for this metal is

Select the correct option:

A

$\frac{F}{A \alpha(\Delta T-273)}$

B

$\frac{F}{A \alpha \Delta T}$

C

$\frac{2 \mathrm{~F}}{\mathrm{~A} \alpha \Delta \mathrm{~T}}$

D

$\frac{F}{2 A \alpha \Delta T}$

✓ Correct! Well done.

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