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In stationary waves, the distance between two nodes is

In stationary waves, the distance between two nodes is Correct Answer λ / 2

Concept:

Standing Waves or Stationary Waves: 

  • When two sets of progressive wave trains of the same type (both longitudinal or both transverse) having the same amplitude and same time period/frequency/wavelength traveling with the same speed along the same straight line in opposite directions superimpose, a new set of waves are formed. 
  • These are called stationary waves or standing waves.
  • A stationary wave is formed when a wave train is reflected at a boundary. The incident and reflected waves then interfere to produce a stationary wave.

Node and Internode.

  • In progressive wave: Node is a point where the amplitude of oscillation is zero, i.e. displacement is minimum.
  • since the pressure is inversely related to displacement. So the transfer of energy per second is maximum at nodes.

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Calculation:

  • In the wave, the wavelength is the distance covered while completing one complete oscillation..
  • From the above diagram, we can see that during one oscillation, the distance between two nodes is half of the wavelength. 
  • So, the distance between two nodes is λ / 2. 

The correct option is λ / 2. 

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