According to the Bernoulli's equation,the pressure difference between the wide and narrow ends of the pipe is given by
Here, is the velocity of water through wide ends of cylindrical pipe and is the velocity of water through narrow ends of cylindrical pipe.
Given,
Now from equation continuity,
.
Here, and are cross- sectional areas of wide and narrow ends of cylindrical pipe.
As pipe is circular, so
.
At the second point, the diameter is halved, which means the radius is also halved. Therefore,
Substituting these values with the density of water is in pressure difference formula we get.
Answer:
147.456077993 Hz
Explanation:
= Frequency of the sonar = 22 kHz
= Velocity of the whale = 4.95 m/s
v = Speed of sound in water = 1482 m/s
The difference in frequency is given by
The difference in frequency is 147.456077993 Hz