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Two strings of the same material and same length are given equal tension. If they are vibrating with fundamental frequencies \( 1600 \text{ Hz} \) and \( 900 \text{ Hz} \), then the ratio of their respective diameters is
Two strings of the same material and same length are given equal tension. If they are vibrating with fundamental frequencies \( 1600 \text{ Hz} \) and \( 900 \text{ Hz} \), then the ratio of their respective diameters is
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Remember the general proportionality \( f \propto \frac{1}{L \cdot d} \sqrt{\frac{T}{\rho}} \) for vibrating strings. Recognizing what parameters remain constant allows you to quickly set up ratios without doing full calculations.
Updated On: Apr 21, 2026
- \( 16 : 9 \)
- \( 4 : 3 \)
- \( 81 : 256 \)
- \( 3 : 4 \)
- \( 9 : 16 \)
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The Correct Option is
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