TS EAMCET · Physics · Waves and Sound
A string of length \(100 \mathrm{~cm}\) has three resonant frequencies, \(120 \mathrm{~Hz}, 200 \mathrm{~Hz}\) and \(280 \mathrm{~Hz}\). If a node is formed at the end of the string, the speed of the transverse wave on this string is :
- A \(60 \mathrm{~m} / \mathrm{s}\)
- B \(80 \mathrm{~m} / \mathrm{s}\)
- C \(100 \mathrm{~m} / \mathrm{s}\)
- D \(120 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(80 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
Given, length of string, \(l=100 \mathrm{~cm}=1 \mathrm{~m}\) Three resonant frequencies are given as \(f_1=120 \mathrm{~Hz}, f_2=200 \mathrm{~Hz}, f_3=280 \mathrm{~Hz}\) \(\because\) Fundamental frequency \(\left(f_0\right)\) is equal to the greatest common factor of…
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