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Physics

Explain why strings of different thickness are provided on stringed instrument.

[Hint — Natural frequency of vibration of a stretched string is inversely proportional to the radius (or thickness) of string so notes of different frequencies can be obtained by producing vibrations in the different strings]

Sound

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Answer

As we know,

frequency (f) = 12lTπr2d\dfrac{1}{2l} \sqrt\dfrac{T}{πr^2d}

So, we can say that the natural frequency of vibration of a stretched string is inversely proportional to the radius of the string.

Hence, in order to produce sound waves of different frequencies, strings of different thickness are provided on a stringed instrument.

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