Question

In the formula V=E^b d^a, if V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density of the gaseous medium respectively, then calculate the values of a and b.

Answer 1

Explanation:

Velocity of longitudinal waves in an elastic medium is …... (1). where E is the modulus of elasticity, ρ is the density of the medium. ... v = √[0.76 × 13.6 × 103 × 9.8]/[1.293] = 280 ...

Answer 2

Given that V=E^b d^a, calculate the values of a and b

Explanation:

• The velocity longitudinal waves depends on the bulk modulus and the density. It is given by the formula: V=√β/ρ.

• V =β^1/2 *ρ^-1/2
• Therefore comparing with V =E ^b d ^a, where V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density.  
• Therefore, b=1/2 and a=-1/2