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MHT CET · Physics · Waves and Sound

At poles, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator, for same setting, to produce resonance with same fork, the vibrating length of wire

  1. A should be decreased.
  2. B should be increased.
  3. C should be same.
  4. D should be three times.
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Answer & Solution

Correct Answer

(A) should be decreased.

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Detailed explanation

\(f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} = \frac{1}{2L} \sqrt{\frac{mg}{\mu}}\) \(f_{poles} = f_{equator} \Rightarrow \frac{1}{L_P} \sqrt{g_P} = \frac{1}{L_E} \sqrt{g_E}\)
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