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

5.1 x 10³ms^-1

4.2 x 10³ms^-1

3.6 x 10³ms^-1

2.8 x 10³ms^-1

Correct answer is A

The speed of sound in a material is given as:

$V = \sqrt{\frac{E}{P}}, Where\\ E = \text{Young's modulus} \\ P = \text{Density }\\ \text{Therefore } V = \sqrt{\frac{7.0 \times 10^{10}}{2.7 \times 10^3}} = 5091.75\\ = 5.1 \times 10^3MS^{-1}$

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