Practice Vibration Of A String (7.2) - Partial Differential Equations - Mathematics III (PDE, Probability & Statistics)
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Vibration of a String

Practice - Vibration of a String

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the wave equation for a vibrating string?

💡 Hint: Refer to the basics of wave propagation.

Question 2 Easy

Define what a node is in the context of standing waves.

💡 Hint: Think about where the string remains still.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the wave equation for a string express?

A relationship between time and mass
The motion of strings over time and space
The tension in a string

💡 Hint: Think about how a string vibrates.

Question 2

True or False: A node in a standing wave is a point of maximum displacement.

True
False

💡 Hint: Consider where motion is minimized.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A string of length 2 meters is fixed at both ends and under a tension of 50 N. Calculate the fundamental frequency of the string if its linear density is 0.01 kg/m.

💡 Hint: Remember to calculate the wave speed first using T and μ.

Challenge 2 Hard

Explain how the frequency changes if the tension in the string is doubled while keeping the length constant.

💡 Hint: Use the relationship between tension and wave speed.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.