Question

A dolphin emits a sound wave that hits a target 120 m away. The wave reflects back from the target to the dolphin. If the Bulk modulus of seawater is 2.3 x 10° N/m2 and the density of seawater is 1022 kg/m3. How long does it take the sound wave for the round trip?

Answer 1

The time taken for the sound wave to make the round trip is 0.16 s.

Step-by-step explanation:

Given;

distance traveled by the sound wave, d = 120 m

bulk modulus of sea water, B = 2.3 x 10⁹ N/m²

density of sea water, ρ = 1022 kg

The speed of the wave is given by;

`v = \sqrt{(B)/(\rho) } \\\\v = \sqrt{(2.3*10^9)/(1022) }\\\\v = 1500.16 \ m/s`

Speed is given by;

`Speed = (Distance)/(Time)`

total distance of the round trip = 2 x 120m = 240 m

Time taken for the sound wave to make the round trip is given by;

`Time = (Distance)/(Speed) \\\\Time = (240)/(1500.16) \\\\Time = 0.16 \ second`

Therefore, the time taken for the sound wave to make the round trip is 0.16 s.