Question

A bat glides along the positive x - axis (to the right) at a uniform velocity of 16.0 m/s while a rodent, which is to the right of the bat by a fair distance, runs towards the bat (in the leftward direction) at a uniform velocity of 4.00 m/s. The bat emits a sound wave at a frequency of 30.0 x 103 Hz. The wave will strike the rodent and perfectly reflect back towards the bat. What is the frequency of this echo as detected by the bat

Answer 1

Step-by-step explanation:

relative velocity between bat and rodent = 16 + 4 m/s

v = 20m/s .

To find the required frequency

n = n₀ x
`(V+v)/(V-v )`

n is apparent frequency , n₀ is original frequency

V is velocity of sound , v is relative velocity

`n = 30000*(340+20)/(340-20 )`

= 30000 x
`(360)/(320)`

= 33750 Hz .