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NEET 2011 (AIPMT, Mains) · Beats

Beats question from NEET 2011 (AIPMT, Mains)

Q65NEET 2011 · AIPMT · MAINSMedium

Beats

Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be

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Answer: (b)

$f \propto \sqrt{T} \Rightarrow \dfrac{\Delta f}{f} = \dfrac{1}{2}\dfrac{\Delta T}{T}$
$\dfrac{\Delta f}{f} = \dfrac{6}{600} = 0.01$
$\dfrac{\Delta T}{T} = 0.02$
So the answer is (b) 0.02.

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