Question

A dog can hear sounds in the range from 15 to 50,000 Hz. What wavelength corresponds to the upper cut-off point of the sounds at 20◦C where the sound speed is 344 m/s? Answer in units of m.

Answer 1

Relation between wavelength and frequency is given by:

= V/f

V = Speed of sound = 344 m/s

f = frequency of range which dog can hear = 15 to 50000 Hz,

So for upper cut-off point frequency = 50000 Hz

Which gives

= 344/50000

= 0.00688 m = wavelength corresponding to upper cut-off point