Bats chirp at high frequencies that humans cannot hear. They use the echoes to detect small objects, such as insects, as small as one wavelength. If a bat emits a chirp at a frequency of 60.0 kHz and the speed of sound waves in air is 340 m/s, whar is the size in millimeters of the smallest insect that the bat can detect?

Question

I know the answer is 5.7mm but not sure how to get to it someone help pls.

Answer 1

period = 1/f = 1/60,000
= 1.67*10^-5 second

goes one wavelength in one period
distance = speed * time
so
wavelength = 340*1.67*10^-5
= .00566 meters
= 5.67 millimeters