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A sine wave is travelling in a medium. What is the minimum distance between two particles always having the same velocity is

A sine wave is travelling in a medium. What is the minimum distance between two particles always having the same velocity is Correct Answer λ/2

CONCEPT:

  • A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation.
  • Wave motion is a kind of disturbance that travels through a medium due to repeated vibrations of the particles of the medium about their mean positions.
  • When a wave motion passes through a medium, particles of the medium only vibrate simply harmonically about their mean position. They do leave their position and move with the disturbance.
  • The velocity of wave motion through a particular medium is constant. It depends only on the nature of the medium, not on the frequency, wavelength or intensity.

 

EXPLANATION:

  • Wavelength (λ): It is equal to the distance travelled by the wave during the time in which anyone particle of the medium completes one vibration about its mean position.
  • Or distance travelled by the wave in one time period is known as wavelength.
  • Or is the distance between the two successive points with the same phase.

 

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  • A sine wave has both maxima and minima. The speed at the maximum and the minimum points are the same whereas the direction of motions is different.
  • A sine wave is travelling in a medium, the minimum distance between the two particles always having the same speed is λ/2.

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