Question

Derive relation between speed ,frequency and wavelength

Answer 1

Hey!

Let 'T' of the vibrating body = T
Wave Velocity of the body= v
Frequency = f

Wave velocity= Wavelength/Time taken

v= λ/T

v= λ×1/T

[1/T= f]

v= λ×f


Thus, Wave speed= Wavelength × Frequency

Hope it helps...!!!

Answer 2

Hello Mate!

Since we know that v = d/t

Where v = d/t can akso be written as v = d × 1/t

Since here is discussion about sound so d is wavelength and t is T.

v = lambda × 1/T

We also know that,

nu = 1/T

Hence v = lambda × nu

[ Note : lambda is symbol of wavelength and nu is symbol of frequency ]

Thanks!!!

Have great future ahead!