Dolphins emit clicks of sound for communication and echolocation. A marine biologist is monitoring a dolphin swimming in seawate
r where the speed of sound is 1522 m/s. When the dolphin is swimming directly away at 8.5 m/s, the marine biologist measures the number of clicks occuring per second to be at a frequency of 2770 Hz. 1. What is the difference (in Hz) between this frequency and the number of clicks per second actually emitted by the dolphin?
From Doppler effect we have that the frequency observed for the relation between the velocities is equivalent to the frequency observed. That is mathematically,
Here,
Speed of sound in water
The Dolphin swims directly away from the observer with a velocity
Observed frequency of the clicks produced by the dolphin
Replacing we have,
Therefore the frequency emitted by the dolphin is 2754.61Hz