Question

A string (with uniform mass density) is attached to a wave generator with variable frequency to create standing wave patterns. The string goes over a pulley and is connected to a mass (which can be varied) to create tension in the string. mass on a string over pulley 1) If the frequency is changed (while the mass is held fixed), what else will change?

Answer 1

Answer:

on changing frequency, only wavelength will change.

Explanation:

We know that

Velocity of wave

$v =\sqrt{\frac{T}{\mu }}$..................(1)

$\nu \lambda=\sqrt{\frac{T}{\mu }}$

$\lambda =\frac{1}{\nu }\sqrt{\frac{T}{\mu }}$............(2)

λ= wavelength

\nu= frequency of wave

T=time period of wave

\mu= mass density of string

As the mass has not changed. Tension T remains same.

Therefore , on changing frequency, only wavelength will change.