Question

calculate the speed of sound in lead given that the bulk module od elasticity of lead is 50×10⁹Nm² and its density is 11.3×10³kg/m³​

Answer 1

Answer:

Correct answer is 11.7 g/cc

Answer 2

Given: Bulk of module of elasticity = 50×10⁹ Nm²

           Density = 11.3×10³kg/m³

To find: Speed of sound

Solution: Speed of sound in the medium is equal to the underoot of the ratio of the bulk module of elasticity of the medium to the density of the medium.

According to the Newton-Laplace equation, v = $\sqrt{bulk modulus/density$

     v = $\sqrt{ 50*10^9/ 11.3*10^3$

        = 2.10 × 10³ ms⁻¹

Therefore, the speed of sound in lead will be 2.10 × 10³ ms¹

• The bulk modulus (K) of a medium is a measure of resistance to the compression. It is defined as the ratio of pressure to the resulting relative decrease of the volume.
• Speed of sound in air is 3 × 10⁸ ms⁻¹