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MHT CET · Physics · Oscillations

The ratio of the frequencies of two simple pendulums is \(4: 3\) at the same place. The ratio of their respective lengths is

  1. A \(3: 4\)
  2. B \(4: 3\)
  3. C \(9: 16\)
  4. D \(16: 9\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(9: 16\)

Step-by-step Solution

Detailed explanation

\(L \propto \frac{1}{f^2}\) \(\frac{L_1}{L_2} = \left(\frac{f_2}{f_1}\right)^2\)