Does velocity of a wave in a medium changes with the wavelength?

The velocity of a wave in a medium changes with the wavelength

Explanation:

Wave

It is the periodic disturbance in a medium.

Types of Wave

There are two types of wave in general depending upon their propagation through a substance.

• Mechanical

• Electromagnetic

Mechanical Wave

It is the kind of wave which needs medium to travel.

For example: Sound Wave

Electromagnetic Wave

Is that which can travel through medium as well as through vacuum. For example: Light

Characteristics of Wave

There are certain characteristics that each sound possesses. Let's see.

Oscillation: It is the complete movement of particle about its mean position.

Amplitude: Is the maximum displacement of particle from its mean position in either direction (cm). It is denoted by 'A'.

Frequency: It is the number of sound waves produced per second (Hertz). It is denoted by υ (nu)

Time Period: The time taken to complete one oscillation (sec). It is denoted by 'T'.

Wavelength: The distance between two consecutive crest or trough (cm). It is denoted by λ (lambda).

Velocity of Wave: The speed with which sound travel (m/sec). It is denoted by 'v'.

Relation between time period, frequency and velocity of wave

We have: frequency = velocity / wavelength

υ=c/λ

Velocity of wave depends upon:

frequency of wave

Wavelength of wave

Therefore, with change in wavelength, the velocity of a wave in medium changes.