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

Answer:

Explanation:

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

v = 20m/s .

To find the required frequency

n = n₀ x $\frac{V+v}{V-v }$

n is apparent frequency , n₀ is original frequency

V is velocity of sound  , v is relative velocity

$n = 30000\times\frac{340+20}{340-20 }$

= 30000 x $\frac{360}{320}$

= 33750 Hz .