# How many nodes are on this standing wave? How many wavelengths are on this standing wave? What is the speed of the wave on the string? What is the wavelength of this standing wave? What is the frequency of this standing wave?

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A 24.5 cm long string has a mass of 3.5 g and a tension of 8.6 kN. A standing wave of the 4th harmonic is created on the string.

A 24.5 cm long string has a mass of 3.5 g and a tension of 8.6 kN. A standing wave of the 4th harmonic is created on the string.

##### 1 Answer

(a)

(b)

(c)

(d)

(e)

#### Explanation:

Given

A standing wave of the

Linear density of string

(a). Nodes on this standing wave

For a standing wave on the string, both ends must have have zero displacement, i.e., it is a node.

Above figure shows standing wave of

General formulae for

Number of nodes

Length of the string

(b) No of wavelengths on standing wave.

Number of wavelengths on the string with

(c). Speed of the wave on the string.

It can be obtained from the expression

Wave velocity

or

or

or

(d). Wavelength of this standing wave.

It can be obtained from (b)

Length of string,

(e). frequency of this standing wave can be obtained from the expression

Inserting various values