When a longitudinal wave propagates through a medium, the particles of the medium execute simple harmonic oscillations about their mean positions. which of the following quantity remains invariant in these oscillations of the particle ?

Kinetic energy

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Potential energy

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Sum of kinetic energy and potential energy

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Difference between kinetic energy and potential energy

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Solution

The correct option is C Sum of kinetic energy and potential energy
When a wave propagates through a medium, the total energy of transmission remains constant.
Hence sum of potential energy and kinetic energy during the propagation of a wave remains fixed.
$\Rightarrow$ The maximum displacement of particle and maximum velocity of particle is dependent only on the total energy of a wave.

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