Practice Derivation Of The One-dimensional Wave Equation (11.1.1) - One-Dimensional Wave Equation

Practice: Derivation of the One-Dimensional Wave Equation

Lesson 11.1.1One-Dimensional Wave Equation

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the one-dimensional wave equation?
Show hintHide hint
Think about wave propagation in a medium.
Question 2.
Name two types of waves described by the wave equation.
Show hintHide hint
Consider where you've encountered waves.
3Question 3.
What is the standard form of the one-dimensional wave equation?
- ∂²u/∂t² = c²∂²u/∂x²
- ∂u/∂t = c∂²u/∂x²
- ∂²u/∂x² = 0
Show hintHide hint
This equation relates how wave displacement changes over time and position.
4Question 4.
True or False: The wave equation can only model sound waves.
- True
- False
Show hintHide hint
Think about different forms of wave propagation.
Question 5.
A string with a length of 2m is under a tension of 100N and has a mass per unit length of 0.5 kg/m. What is the speed of a wave on this string?
Show hintHide hint
Focus on finding the values for T and μ to use in the formula.
Question 6.
Describe how to modify the wave equation for a string with varying tension and mass per unit length along its length.
Show hintHide hint
Think about how each section of the string might behave differently due to changing properties.

5 more questions in this section. Enroll free to practise them all.