Two identical piano wires, kept under the same tension T have a f… - Vidyadip

MCQ

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

A
$0.01$
✓
$0.02$
C
$0.03$
D
$0.04$

✓

Answer

Correct option: B.

$0.02$

b
$\text { As } v=\frac{1}{2 L} \sqrt{\frac{T}{\mu}} \therefore \frac{\Delta v}{v}=\frac{1}{2} \frac{\Delta T}{T}$

$\frac{\Delta T}{T}=2 \frac{\Delta v}{v}=2 \times \frac{6}{600}=0.02$

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