Question

An oscillator creates periodic waves on two strings made ofthe same material. The tension is the same in both strings.If the strings have different thicknesses,which of the following parameters, if any, will be different in thetwo strings?Check all that apply.a. wave frequencyb. wave speedc. wavelengthd. none of the above

Answer 1

Answer:

c. wavelength

Explanation:

The speed of the wave on the string is given by

$v= \sqrt{\frac{T}{\mu} }$

Here, \mu is the mass per unit length and T is the tension in the string.

For the different thickness, the mass per unit length is different. Therefore, the wave speed is different in the two strings.

The frequency of the oscillations depends upon the oscillator. So, the frequency is same for the two strings by using same oscillator.

The frequency and speed relation is,

f= γλ

λ= f/γ

Since frequency is constant, the wavelength of the waves different as the speeds are different.