Question

deduce the relation between wavelength, frequency and speed of sound

Answer 1

speed= distance/time
distance is nothing but wavelength of sound
speed = wavelength/ time
frequency = 1/time
speed = wavelength x frequency

Answer 2

The wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on the wavelength. That number, also known as the frequency, will be larger for a short-wavelength wave than for a long-wavelength wave.

The equation that relates wavelength and frequency for electromagnetic waves is: λν=c where λ is the wavelength, ν is the frequency and c is the speed of light