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Waves I

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Waves I: Introduction

– A wave is simply a disturbance that moves through a medium. Other waves do not require a medium to travel i.e. they can travel in a vacuum, are known as electromagnetic waves e.g. radio, X-rays, gamma rays UV rays etc.
– Other waves require a material medium to be transferred and are called mechanical waves i.e. water, sound waves etc.

Transverse and Longitudinal Pulses and Waves

1. Transverse waves

– They consist of a crest and a trough.
– In this case the displacement of the medium caused by these pulses are perpendicular to the direction in which the wave (disturbance) travels.
– A pulse is a single non-repeated disturbance.
– If the pulses are repeated periodically (regularly) they produce a series of waves called periodic transverse wave train.
– They can be produced as shown below.

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2. Longitudinal waves

– These are waves whereby the particles of the medium vibrate parallel to the direction of movement of the disturbance.
– When several turns of a spring are pulled together (compression) and then released they tend to spread out to their original position.
– When pulled apart (rarefaction) they also turn to their original position.
– In this case the displacement of the spring is parallel to the motion of the wave and this is known as longitudinal.

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Characteristics of waves

  1. All waves have speed which depends on the nature of disturbance.
  2. All waves have wavelength (distance between two successive points in a wave). Represented by the symbol λ and is measured in metres.
  3. All waves have frequency – ‘ f ‘ which is the number of waves passing a point in one second. It is measured in cycles per second or hertz (Hz). The period of a wave is the time required for a complete wave to pass a given point.
    Therefore T = 1 / f or f = 1 / T (period is measured in seconds).
    The speed ‘v’ is given as: v = λ / T, since f = 1 / T then v = (1 / T) x λ = f λ or v = f λ. This is the wave equation.
  4. All waves have amplitude which is the maximum displacement of the particles of the medium as the wave passes.

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