Question:
A transverse wave is propagating on a stretched string whose mass per unit length is $32$ g/m. The tension on the string is $80$ N. The speed of the wave in the string is
A transverse wave is propagating on a stretched string whose mass per unit length is $32$ g/m. The tension on the string is $80$ N. The speed of the wave in the string is
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Always convert g/m to kg/m before applying wave speed formula.
Updated On: May 1, 2026
- $5/2$ m/s
- $\sqrt{5/2}$ m/s
- $2/5$ m/s
- $\sqrt{2/5}$ m/s
- $50$ m/s
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The Correct Option is
Solution and Explanation
Concept:
Wave speed: \[ v = \sqrt{\frac{T}{\mu}} \]
Step 1: Convert mass density.
\[ \mu = 32 \text{ g/m} = 0.032 \text{ kg/m} \]
Step 2: Substitute values.
\[ v = \sqrt{\frac{80}{0.032}} = \sqrt{2500} \]
Step 3: Calculate.
\[ v = 50 \text{ m/s} \]
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