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________ of a wave is the velocity with which variations in the shape of modulation or envelope of the wave propagate through space.
1. The elliptical velocity
2. The phase velocity
3. The group velocity
4. The circular velocity

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Correct Answer - Option 3 : The group velocity

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,

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

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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