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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Waves and Sound

NEET 2011 · Physics · Waves and Sound

Two identical piano wires kept under the same tension T have a...

Two identical piano wires kept under the same tension TT have a fundamental frequency of 600 Hz600 \mathrm{~Hz}. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beat/s when both the wires oscillate together would be

Options

  1. A0.02
  2. B0.03
  3. C0.04
  4. D0.01

Correct answer

A. 0.02

Step-by-step solution

According to law of tension the frequency of the string varies directly as the square root of its tension \text{ or } \quadn∝TΔnn=12⋅ΔTTΔTT=2×ΔnnΔTT=2×6600=0.02\begin{aligned}n & \propto \sqrt{T}\\ \frac{\Delta n}{n}& =\frac{1}{2} \cdot \frac{\Delta T}{T}\\ \frac{\Delta T}{T}& =2 \times \frac{\Delta n}{n}\\ \frac{\Delta T}{T}& =2 \times \frac{6}{600}\\ & =0.02 \end{aligned}$
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