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Given that young s modulus for aluminium is 7 0... - JAMB Physics 2003 Question

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 option: 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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