The velocity of sound in sea water is 1.53 × 10³ m/s. Find the bulk modulus (in N/m²) of sea water if its density is 1.03 × 10³ kg/m³. A) 2.57 × 10⁹ B) 2.19 × 10⁹ C) 2.04 × 10⁹ D) 2.41 × 10⁹ E) 2.82 × 10⁹

Question

Quizplus · Accepted Answer

The velocity of sound in a fluid is given by 
v = √(K/ρ)
where K is the bulk modulus and ρ is the density of the fluid.
Rearranging the above equation we get, 
K = ρv^2
Substituting the given values, 
K = (1.03 × 10^3 kg/m^3) x (1.53 x 10^3 m/s)^2
K = 2.41 x 10^9 N/m^2 = 2.41 x 10^(-9) N/m^(-12)
Therefore, the best choice is D.

The Velocity of Sound in Sea Water Is 1