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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define dispersion in the context of waves.
π‘ Hint: Think about how different colors of light spread in a prism.
Question 2
Easy
What is the superposition principle?
π‘ Hint: Consider how sound waves combine.
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 dispersion in wave phenomena?
- Wave speed is constant
- Wave speed varies with frequency
- Wave motion is limited
- None of the above
π‘ Hint: Think about how different colors in light travel at different speeds.
Question 2
Phase velocity is defined as:
- True
- False
π‘ Hint: What do we mean by a specific phase?
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A string is vibrating, creating waves at different frequencies. If the phase velocity is 150 m/s and you have two frequencies, 50 Hz and 75 Hz, how does the wave shape evolve over time?
π‘ Hint: Consider the implications of varying frequencies and their speeds on wave shape.
Question 2
Derive an expression for group velocity given a nonlinear dispersion relation where Ο(k) = ak^2 + bk + c. Determine vg.
π‘ Hint: Differentiate the dispersion relation with respect to k.
Challenge and get performance evaluation