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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define phase velocity in your own words.
π‘ Hint: Think about the speed of a wave peak.
Question 2
Easy
What is the formula for calculating phase velocity?
π‘ Hint: This relates frequency and wavelength.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is phase velocity?
- Speed of the wave packet
- Speed of specific wave phase
- Speed of light in vacuum
π‘ Hint: Think about how a crest of the wave moves.
Question 2
Group velocity can be defined as:
- v_g = Ο / k
- v_g = dΟ/dk
- v_g = k / Ο
π‘ Hint: It's related to the wave packet's motion.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
π‘ Hint: Calculate phase first, then use the given derivative for group.
Question 2
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.
π‘ Hint: Consider the effect of force on wave propagation.
Challenge and get performance evaluation