Question

The mass of a string is 5.9 × 10-3 kg, and it is stretched so that the tension in it is 200 n. a transverse wave traveling on this string has a frequency of 300 hz and a wavelength of 0.76 m. what is the length of the string?

Answer 1

The velocity of the wave on the string is given by

`image`

Solving the above equation,

`image`

The frequency of the wave
`f=300` and wave length is
`0.76`

The velocity is
`v=(300)(0.76)=228`

Substituting numerical values,

`image`

The length of the string is
`1.534 m`