AP EAMCET · PHYSICS · Waves and Sound
A string is divided into three segments, so that the segment possesses fundamental frequencies in the ratio \(1: 2: 3\). Then, the length of the segments are in the ratio
- A \(6: 3: 2\)
- B \(4: 3: 2\)
- C \(4: 2: 1\)
- D \(3: 2: 1\)
Answer & Solution
Correct Answer
(A) \(6: 3: 2\)
Step-by-step Solution
Detailed explanation
Given, ratio of fundamental frequencies be \(f_1: f_2: f_3=1: 2: 3\) Let ratio of length be \(l_1: l_2: l_3\). Since, \(\quad f=\frac{1}{2 l} \sqrt{\frac{T}{\mu}}\) where, \(f\) is frequency, \(l\) is length of string, \(T\) is tension and \(\mu\) is mass per unit length.…
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