Question 74: Properties of Matter

Question

For a solid rod, the Young's modulus of elasticity is $3.2 	imes 10^{11} \mathrm{Nm}^{-2}$ and density is $8 	imes 10^3 \mathrm{~kg} \mathrm{~m}^{-3}$. The velocity of longitudinal wave in the rod will be.

Accepted Answer

$v=\sqrt{\frac{Y}{ho}}=\sqrt{\frac{3.2 	imes 10^{11}}{8 	imes 10^{3}}}$
$$
\begin{aligned}
& =\sqrt {0.4 	imes {{10}^8}}  \\
& = \sqrt {40 	imes {{10}^6}} \\
& =6.32 	imes 10^{3} \mathrm{~m} / \mathrm{s}
\end{aligned}
$$

Answer

$3.65 	imes 10^3 \mathrm{~ms}^{-1}$

Answer

$6.32 	imes 10^3 \mathrm{~ms}^{-1}$

Answer

$18.96 	imes 10^3 \mathrm{~ms}^{-1}$

Answer

$145.75 	imes 10^3 \mathrm{~ms}^{-1}$

Properties of Matter

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.

Choose the correct answer: