Question:
Speed of a transverse wave on a stretched string under tension \(T\) and linear density \(\mu\) is
Speed of a transverse wave on a stretched string under tension \(T\) and linear density \(\mu\) is
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The speed of a wave on a string is directly proportional to the square root of the tension and inversely proportional to the square root of the linear density.
Updated On: Apr 7, 2026
- \( \sqrt{\frac{\mu}{T}} \)
- \( \sqrt{\frac{T}{\mu}} \)
- \( \sqrt{\mu T} \)
- \( \mu T \)
- \( \frac{\mu}{T} \)
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The Correct Option is B
Solution and Explanation
The speed of a transverse wave on a stretched string is given by the formula:
\[ v = \sqrt{\frac{T}{\mu}} \] where:
- \( T \) is the tension in the string,
- \( \mu \) is the linear density of the string (mass per unit length).
Hence, the correct answer is (B).
\[ v = \sqrt{\frac{T}{\mu}} \] where:
- \( T \) is the tension in the string,
- \( \mu \) is the linear density of the string (mass per unit length).
Hence, the correct answer is (B).
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