Question

3) The velocity of propagation of apressure wave in a fluid medium of bulk
modulus 2 kN /mm ^2 and density is 965 kg /m^3 (1 marks)
1400
965
1440
1200​

Answer 1

Given - Bulk modulus - 2kN/mm²

Density - 956 kg/m³

Find - Velocity of propagation of a pressure wave.

Solution - Velocity of a wave in fluid medium, bulk modulus and density are related to each other as - v =√(B/p). In the formula, v is velocity, B is bulk modulus and p is density.

Bulk modulus - 2000 N/mm² = 2*10⁹ N/m²

Keeping the values in equation-

v =√(2*10⁹/965)

v =√2072538.86

v = 1439.63 = 1440 m/s.

Hence, the correct option is 1440 m/s.