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Describe how the length of a string affects the frequency of the stationary wave produced when the tension and mass per unit length are kept constant.

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Question

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exam_style

Style

Topic

Progressive and stationary waves

Exam-style question

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Describe how the length of a string affects the frequency of the stationary wave produced when the tension and mass per unit length are kept constant.

Model answer

What a good answer should say

  • The frequency of the stationary wave is inversely proportional to the length of the string.
  • As the length increases, the frequency decreases, and vice versa.

Explanation

Why this works

This question assesses understanding of the relationship between string length and frequency in stationary waves. It tests the concept that frequency is determined by the wave speed and wavelength, where longer strings produce lower frequencies.

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