A uniform heavy rod of weight 10 kg... | Mechanical Properties of Solids

JEE MAIN 2021

31.08.21_S2

Question

A uniform heavy rod of weight $10 \mathrm{~kg} \mathrm{~ms}^{-2}$, cross-sectional area $100 \mathrm{~cm}^2$ and length 20 cm is hanging from a fixed support. Young modulus of the material of the rod is 2 $\times 10^{11} \mathrm{Nm}^{-2}$. Neglecting the lateral contraction, find the elongation of rod due to its own weight.

Select the correct option:

$2 \times 10^{-9} \mathrm{~m}$

$5 \times 10^{-8} \mathrm{~m}$

$4 \times 10^{-8} \mathrm{~m}$

$5 \times 10^{-10} \mathrm{~m}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution