JEE Mains · Physics · STD 11 - 14. waves and sound
Two identical strings \(X\) and \(Z\) made of same material have tension \(T _{ x }\) and \(T _{ z }\) in them. If their fundamental frequencies are \(450\, Hz\) and \(300\, Hz ,\) respectively, then the ratio \(T _{ x } / T _{ z }\) is\(.....\)
- A \(0.44\)
- B \(1.5\)
- C \(2.25\)
- D \(1.25\)
Answer & Solution
Correct Answer
(C) \(2.25\)
Step-by-step Solution
Detailed explanation
\(f =\frac{1}{2 \ell} \sqrt{\frac{ T }{\mu}}\) For identical string \(l\) and \(\mu\) will be same \(f \propto \sqrt{ T }\) \(\frac{450}{300}=\sqrt{\frac{T_{x}}{T_{y}}}\) \(\frac{T_{x}}{T_{y}}=\frac{9}{4}=2.25\)
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