QJEEM23Phf474: JEE Main 2023 Physics - Class 11 JEEM23Phf474 Solution: For a solid rod, the Young's modulus of elasticity is and…

Question

Verified Solution • 2025–26 Session moderate

For a solid rod, the Young's modulus of elasticity is

3.2 \times 10^{11} \mathrm{Nm}^{-2}

and density is

8 \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}

. The velocity of longitudinal wave in the rod will be.

Accepted Answer

v=\sqrt{\frac{Y}{\rho}}=\sqrt{\frac{3.2 \times 10^{11}}{8 \times 10^{3}}}

\begin{aligned} = \sqrt{0.4 \times 10^{8}} \\ = \sqrt{40 \times 10^{6}} \\ = 6.32 \times 10^{3} m / s \end{aligned}

Step-by-Step Verified Solution