AP EAMCET · PHYSICS · Waves and Sound
Two strings \(A\) and \(B\) of lengths, \(L_A=80 \mathrm{~cm}\) and \(L_B=x \mathrm{~cm}\) respectively are used separately in a sonometer. The ratio of their densities \(\left(d_A / d_B\right)\) is 0.81 . The diameter of \(B\) is one-half that of \(A\). If the strings have the same tension and fundamental frequency the value of \(x\) is :
- A 33
- B 102
- C 144
- D 130
Answer & Solution
Correct Answer
(C) 144
Step-by-step Solution
Detailed explanation
Given, \(\frac{T_A}{T_B}=1, \quad \frac{L_A}{L_B}=\frac{80}{x}\) \(\frac{D_A}{D_B}=\frac{2}{1}, \quad \frac{d_A}{d_B}=\frac{0.81}{1}\) Let \(\mu_1\) and \(\mu_2\) be the linear densities.…
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