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JEE Mains · Physics · STD 11 - 14. waves and sound

दो एकसमान, समान पदार्थ के बने डोरी \(X\) एवं \(Z\) में तनाव क्रमश: \(T_{X}\) एवं \(T_{Z}\) है। यदि उनके मूल आवृति क्रमशः \(450 \,Hz\) एवं \(300 \,Hz\) है तो \(T_{X} / T_{Z}\) का अनुपात है

  1. A \(0.44\)
  2. B \(1.5\)
  3. C \(2.25\)
  4. D \(1.25\)
Verified Solution

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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