Question

A longitudinal wave is produced on a slinky toy and the frequency of wave is 20 hertz and the speed of the wave is 30 cm s^-1. What is the minimum seperation between the consecutive compressions on the slinky toy?​

Answer 1

Answer:

ANSWER

The relationship between the frequency, wavelength and speed of sound or velocity is given as follows.

Frequencyν=wavelengthλwavevelocityv

From the above equation, wavelength is derived as, Wavelengthλ=Frequencyνwavevelocityv

In the question, the velocity of sound is 30 cm/s, that is 0.3 m/s and frequency=20 Hz is given.

The distance between two consecutive compression is equal to the wavelength of the wave, therefore,

Wavelengthλ=νv=20Hz0.3m/s=0.015m.

Hence, the wavelength of the sound wave is given as 0.015 m.