Question

"The smallest insects that a bat can detect are approximately the size of one wavelength of the sound the bat makes. What is the minimum frequency of sound waves required for a bat to detect an insect that is 0.0057 m long? (assume the speed of sound is 340 m/s.)"

Answer 1

Answer:

Frequency, f = 59.6 kHz

Explanation:

Given that,

Speed of sound, v = 340 m/s

The bat can detect an insect that is 0.0057 m long, $\lambda=0.0057\ m$

We need to find the minimum frequency of sound waves required for a bat to detect an insect. The speed of a wave is given by :

$v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{340\ m/s}{0.0057\ m}\\\\f=59649.12\ Hz$

or

f = 59.6 kHz

So, the frequency detected by the bat is 59.6 kHz.