Question

The speed of the wave is 340 m/s, find the wavelength of the wave whose frequency is 500 Hz.

Answer 1

we are given the speed of the wave and the frequency of the wave and we need to find the wavelength of the wave. We know there exists a relationship between the wavelength, frequency and speed of the wave.

Complete step by step answer: Now we are given the velocity, v=340 m/s
The relationship is given by $v=f\times \lambda$
Here f is the frequency and $\lambda$is the wavelength
Putting the values, $340=500\times \lambda$
So, $\lambda$=0.68 m
Thus, for the given wave the frequency is 500 Hz and the wavelength is 0.68 m

Additional Information: Frequency can be defined as the number of oscillations in one second. It is the characteristic of the source and it remains constant throughout the motion of the wave. Contrary to this wavelength and velocity of the wave depends on the medium and changes.
When a body vibrates then it undergoes to and fro motion and this is a type of is called periodic motion. Periodic motion has a time period which can be thought as the time taken by the body to return to its initial position after being disturbed.

Note: We need to keep in mind that all the units are to be taken in standard SI units. The wavelength in metre and velocity in m/s. The frequency is to be taken in Hertz (hz). Velocity, frequency and wavelength of a wave has a unique relationship among them.