QQuestionPhysics
QuestionPhysics
What best describes a transverse wave?
A. The displacement of particles is opposite to the direction of wave motion.
B. The displacement of particles is perpendicular to the direction of wave motion.
C. The displacement of particles is in the same direction as the wave motion.
D. The displacement of particles is parallel to the direction of wave motion.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand Wave Types
In wave mechanics, there are two primary types of waves: transverse and longitudinal waves. The key difference lies in the relationship between the particle displacement and the direction of wave propagation.
Step 3:: Analyze Particle Displacement in Transverse Waves
In a transverse wave, the particles of the medium move perpendicular (at a 90 -degree angle) to the direction of wave motion. This means that while the wave travels in one direction, the particles oscillate up and down or side to side, but not in the same direction as the wave's travel.
Step 4:: Examine the Given Options
Let's carefully analyze each option: - Option A: Incorrect. This describes the direction of displacement, not its orientation. - Option B: Correct. This precisely describes a transverse wave's particle motion. - Option C: Incorrect. This describes wave motion, not particle displacement. - Option D: Incorrect. This describes a longitudinal wave, not a transverse wave.
Step 5:: Visualize a Transverse Wave
Imagine a wave on a string: when you move the string up and down, the wave travels horizontally, but the string's particles move vertically. This is a classic example of a transverse wave.
Final Answer
The displacement of particles is perpendicular to the direction of wave motion. Key Insight: In a transverse wave, \vec{displacement} \perp \vec{wave\,motion}, where \perp means "perpendicular to".
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