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JEE MAIN 2019
12-04-2019 S2
Question
A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:
Select the correct option:
A
9F / ( $\left.\pi r^2 \mathrm{YT}\right)$
B
3F / ( $\left.\pi r^2 \mathrm{YT}\right)$
C
$\mathrm{F} /\left(3 \pi \mathrm{r}^2 \mathrm{YT}\right)$
D
$6 \mathrm{~F} /\left(\pi \mathrm{r}^2 \mathrm{YT}\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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