Given that young’s modulus for aluminium is 7.0 x 1010Nm-2 and density is 2.7 x…

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: Option 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} )