6.3 - Group and Phase Velocity
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Practice Questions
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Define phase velocity in your own words.
💡 Hint: Think about the speed of a wave peak.
What is the formula for calculating phase velocity?
💡 Hint: This relates frequency and wavelength.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is phase velocity?
💡 Hint: Think about how a crest of the wave moves.
Group velocity can be defined as:
💡 Hint: It's related to the wave packet's motion.
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Challenge Problems
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A wave has an angular frequency of 30 rad/s and a wave number of 10 rad/m. Calculate both the phase and group velocities if the dispersion relation shows group velocity as the derivative of frequency equaling 3 rad/s per rad/m.
💡 Hint: Calculate phase first, then use the given derivative for group.
How would the group velocity change in a medium where the wave applies a force leading to an increased wave number with constant angular frequency? Explain the implications.
💡 Hint: Consider the effect of force on wave propagation.
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