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

A closed organ pipe \(150 \mathrm{~cm}\) long gives \(7\) beats per second with an open organ pipe of length \(350 \mathrm{~cm}\), both vibrating in fundamental mode. The velocity of sound is_________ \(\mathrm{m} / \mathrm{s}\).

  1. A \(754\)
  2. B \(654\)
  3. C \(294\)
  4. D \(354\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(294\)

Step-by-step Solution

Detailed explanation

\( \mathrm{f}_{\mathrm{c}}=\frac{\mathrm{v}}{4 \ell_1} \quad \mathrm{f}_{\mathrm{o}}=\frac{\mathrm{v}}{2 \ell_2} \) \( \left|\mathrm{f}_{\mathrm{c}}-\mathrm{f}_0\right|=7 \) \( \frac{\mathrm{v}}{4 \times 150}-\frac{\mathrm{v}}{2 \times 350}=7 \)…
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