________ of a wave is the velocity with which variations in the shape of modulation or envelope of the wave propagate through space.

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  1. The elliptical velocity
  2. The phase velocity
  3. The group velocity
  4. The circular velocity

Answer (Detailed Solution Below)

Option 3 : The group velocity
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Group Velocity:

The group velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes propagates through space.

Group velocity,

 \({v_g} = \frac{{d\omega }}{{d\beta }}\)

Important Points

Phase Velocity:

The phase velocity of a wave is the rate at which the phase of the wave propagates in space.

Phase velocity  \({v_p} = \frac{\omega }{\beta }\)

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