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7 August, 03:17

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

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  1. 7 August, 03:33
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    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.
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