AP EAMCET · PHYSICS · Waves and Sound
If the length of a stretched string is shortened by \(x \%\) and the tension is increased by \(44 \%\). Then the ratio of the final and initial fundamental frequencies is \(1: 2\), then the value of \(x\) is
- A 20
- B 30
- C 40
- D 60
Answer & Solution
Correct Answer
(C) 40
Step-by-step Solution
Detailed explanation
Fundamental frequency for string, \(n=\frac{1}{2 l} \sqrt{\frac{T}{m}}\) So, \(n \propto \sqrt{T} / l\) \(\Rightarrow \quad \frac{n^{\prime}}{n}=\sqrt{\frac{T^{\prime}}{T}} \times \frac{l}{l^{\prime}}\) ...(i) Now, \(\quad T^{\prime}=T+0.44 T=\frac{144 T}{100}\) and…
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