Question

An experiment is performed to determine how bats capture insects in the dark. A pair of microphones are set up on either end of a long room with the bat being released on one end and an insect on the other. When the bat begins to chase the insect, the microphone near the bat hears a frequency of 79.79 kHz and the microphone on the other side of the room hears a frequency of 81.63kHz. a) (3pts) What is the speed of the bat

Answer 1

Step-by-step explanation:

We shall apply Doppler's effect here .

original frequency = 79.79 kHz

apparent frequency due to movement of source ( bat ) = 81.63 Hz

Let the velocity of bat be v .

expression for apparent frequency can be given as follows

n =
`(n_0V)/(V-v)`

n is apparent frequency , n₀ is original frequency , V is velocity of light and v is velocity of source of sound

Putting the values

81.63 =
`(79.79* 340)/(340-v)`

340-v = 332.33

v = 7.67 m /s

velocity of bat is 7.67 m /s .