Given that young's modulus for aluminium is 7.0 x 1010Nm-2 and density is 2.7 x 103kgm-3 find the speed of the sound produced if a solid bar is struck at one end with a hammer
A. 5.1 x 103ms-1 B. 4.2 x 103ms-1 C. 3.6 x 103ms-1 D. 2.8 x 103ms-1
Correct Answer: A
Explanation
The speed of sound in a material is given as: \( V = \sqrt{\frac{E}{P}}, Where\\ E = \text{Young's modulus} \\ P = \text{Density }\\ \text{Therefore } V = \sqrt{\frac{7.0 \times 10^{10}}{2.7 \times 10^3}} = 5091.75\\ = 5.1 \times 10^3MS^{-1} \)
