Given that Young's modulus for aluminium is 7.0 x 10\(^{10}Nm^{-2}\) and density is 2.7 x...

JAMB 2003

Given that Young's modulus for aluminium is 7.0 x 10\(^{10}Nm^{-2}\) and density is 2.7 x 10\(^3\)kgm\(^{-3}\), 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

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Correct Answer: Option A

Explanation

The speed of sound in a material is given as:

V = \(\sqrt{\frac{E}{P}}\), Where

E = Young's modulus
P = Density

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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