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A string of length 2.0 m is fixed at both ends and vibrates to form a stationary wave. If the tension in the string is 50 N and the mass per unit length is 0.1 kg/m, calculate the fundamental frequency of the stationary wave.

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Question

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exam_style

Style

Topic

Progressive and stationary waves

Exam-style question

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A string of length 2.0 m is fixed at both ends and vibrates to form a stationary wave. If the tension in the string is 50 N and the mass per unit length is 0.1 kg/m, calculate the fundamental frequency of the stationary wave.

Model answer

What a good answer should say

  • The fundamental frequency of the stationary wave is 5 Hz.

Explanation

Why this works

This question tests the application of the wave speed equation and the relationship between frequency, tension, and mass per unit length. The calculation involves determining the wave speed using the formula v = √(T/μ) and then finding the frequency using f = v/λ.

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