The transverse displacement of a wire (clamped at both its ends) is described as : The mass of the wire is and its length is .
Provide answers to the following questions:
(i) Is the function describing a stationary wave or a travelling wave?
(ii) Interpret the wave as a superposition of two waves travelling in opposite directions. Find the speed, wavelength and frequency of each wave.

As we know,

The standard equation of a stationary wave is known as,

Given equation is,

It is similar to the general equation .

i) Thus, the given function describes a stationary wave.

ii) We know, a wave travelling in the positive -direction can be represented as :

And,

A wave travelling in the negative -direction is represented as :

On Super positioning these two waves, we get,

The transverse displacement of the wires is described as :

On Comparing the equations (1) and (2), we get :

As a result, wavelength

Also we have,

speed is

Frequency will be