Wave behaviour

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Question 13
Medium

An ultrasound wave is used in medical imaging to detect internal structures. The graph shows how the displacement of this ultrasound wave varies with distance as it travels through a medium.

Displacement-distance graph of an ultrasound wave. The vertical axis is displacement in millimetres (mm), ranging from -0.005 to 0.005 with major grid lines every 0.001. The horizontal axis is distance in metres (m), ranging from 0 to 0.005 with major grid lines every 0.001. A sinusoidal wave begins at the origin (0,0), climbs to a peak value of 0.003 mm at 0.0004 m, crosses the zero-displacement axis at 0.0008 m, reaches a trough of -0.003 mm at 0.0012 m, and completes one full wave cycle at 0.0016 m, before repeating this periodic pattern.

a.

Use the graph to determine the wavelength of the ultrasound wave.

[2]
b.

The speed of this ultrasound wave in the body tissue is 3400 m/s3400\text{ m/s}3400 m/s. Calculate the frequency of the ultrasound wave. Use the equation: $\text{wave speed} = \text{frequency} \times \text{wavelength}$ Give your answer in standard form and to 2 significant figures.

[4]

Wave behaviour Questions

  1. GCSE
  2. /Physics
  3. /Wave behaviour