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Wave Motion Quiz

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Questions and Answers

Which of the following equations represents the wave equation for a string under tension?

y(x, t) = A cos(kx)cos(ωt)

y(x, t) = A sin(kx)sin(ωt)

y(x, t) = A sin(kx)cos(ωt) (correct)

y(x, t) = A cos(kx)sin(ωt)

What type of wave is formed when two waves of the same frequency and amplitude traveling in opposite directions superpose?

Polarized wave

Longitudinal wave

Transverse wave

Standing wave (correct)

What type of wave is formed when two waves of the same frequency and amplitude traveling in opposite directions superpose?

Standing wave (correct)

Longitudinal wave

Transverse wave

Progressive wave

What is the characteristic of a stationary wave?

Nodes and antinodes that do not move Signup and view all the answers

What is the characteristic of a stationary wave?

Nodes and antinodes Signup and view all the answers

Which of the following equations represents the wave equation for a string under tension?

v = √(T/μ) Signup and view all the answers

Study Notes

Wave Equations and Stationary Waves

The wave equation for a string under tension is represented by the equation: ∂²u/∂t² = v² ∂²u/∂x²
When two waves of the same frequency and amplitude traveling in opposite directions superpose, a standing wave (or stationary wave) is formed
A standing wave is characterized by nodes (points of zero amplitude) and antinodes (points of maximum amplitude)
Standing waves have fixed nodes and antinodes, and the waveform appears to be standing still, hence the name "standing wave"

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Description

Test your knowledge of wave motion with this quiz! Explore the formation of stationary waves, identify the wave equation for a string under tension, and understand the characteristics of stationary waves. See how well you understand wave physics and its applications.