Question

What happens to the wavelength of a wave on a string when the frequency is doubled

Answer 1

`\lambda'=(1)/(2)* \lambda`

Step-by-step explanation:

The number of oscillation per unit time is called frequency of a wave while the distance between two consecutive crests and the trough is called its wavelength.

The wavelength of a wave is given by :

`\lambda=(v)/(f)`

If frequency is doubled, f' = 2f

`\lambda'=(v)/(f')`

`\lambda'=(v)/(2f)`

`\lambda'=(1)/(2)* (v)/(f)`

`\lambda'=(1)/(2)* \lambda`

So, when the frequency is doubled the wavelength of a wave on the string becomes half.