(8%) Problem 3: Sound in water travels at a velocity governed by the relation v = √(B/rho) where B is the bulk modulus and rho is the density. For salt water, take B = 2.38 × 109 Pa and rho = 1046 kg/m3. A whale sends out a high frequency (9 kHz) song to another whale 1.0 km away. How much time, in seconds, does it take for the sound to travel between the whales, t?

the time required for the sound to travel between the whales 0.66 S.

Explanation:

As given in the problem, the velocity of sound wave () is governed by the equation

Given, and

So for salt water, the velocity of sound wave () can be written as

As the whales are d = 1 Km or 1000 m apart from each other, so the time () required for the sound wave to travel this distance is given by

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement