Question

A string of length 0.67 m and mass 2.0 g is held at both ends under tension. The string

produces a 700 Hz tone when it vibrates in the fourth harmonic. During this event, what is the
wavelength of the standing wave in the string?

.34
.55
.61
.45
.49

Answer 1

The value is
`\lambda = 0.335 \ m`

Step-by-step explanation:

From the question we are told that

The length of the string is
`l = 0.67 \ m`

The mass is
`m = 2.0 \ g = 0.002 \ kg`

The frequency produced at fourth harmonic vibration(i.e n =4 ) is
`f = 700 \ Hz`

Generally the wavelength of the string is mathematically represented as

`\lambda = ( 2L )/(n )`

=>
`\lambda = ( 2 * 0.67 )/( 4 )`

=>
`\lambda = 0.335 \ m`