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Waves and Oscillation

Define phase velocity and group velocity?

Phase velocity Phase velocity is the velocity with which a plane progressive wave front travels forward. Phase velocity is symbolized by . It has a constant phase =  Group velocity The group velocity () is the speed with which the point of reinforcement of the resultant wave travels. The group velocity is different from the individual …

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What do you mean by phase angle and epoch?

Phase angle Phase angle is defines as the fraction of the time interval that has lapsed since the particle has crossed the mean position of rest in the positive direction. It is also equal to the angle swept by the radius vector since the vibrating particle last crossed its mean position of rest. For a …

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What are stationary waves?

Stationary waves:  When two simple harmonic waves of the same amplitude, frequency and time period travel in opposite directions in a straight line, the resultant wave obtained is called a stationary or a standing wave. The formation of stationary waves is due to the superposition of the two waves on the particles of the medium.

What are transverse and longitudinal waves?

Transverse waves:   In transverse wave motion, the particles of the medium vibrate at right angles to the direction of propagation of wave. Example: Light waves are transverse waves.             Longitudinal wave motion:  In longitudinal wave motion, particles of the medium vibrate along the direction of propagation of the wave. Example: Sound waves are longitudinal waves.

What is resonance?

Resonance:   When the forced frequency is equal to the natural frequency of vibration of the body, resonance takes place. Resonance is a vibration of large amplitude produced by a relatively small vibration near the same frequency of vibrations as the natural frequency of the resonating system.

What are undamped free vibrations, damped free vibrations and forced vibrations?

Undamped free vibrations:  When a bob of a simple pendulum (in vacuum) is displaced from its mean position and left, it executes simple harmonic motions. The pendulum will continue to oscillate with the same time period and amplitude for any length of time. In such cases there is no loss of energy by friction or …

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