Question

Speed of a transverse wave on a stretched string under tension \(T\) and linear density \(\mu\) is

• A. \( \sqrt{\frac{\mu}{T}} \)
• B. \( \sqrt{\frac{T}{\mu}} \)
• C. \( \sqrt{\mu T} \)
• D. \( \mu T \)
• E. \( \frac{\mu}{T} \)

Hint:

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.

Answer 1

The Correct Option is B

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).