NEET · Physics · STD 11 - 14. waves and sound
An organ pipe filled with a gas at \(27^{\circ}\,C\) resonates at \(400\,Hz\) in its fundamental mode. If it is filled with the same gas at \(90^{\circ}\,C\), the resonance frequency at the same mode will be \(...........\,Hz\)
- A \(420\)
- B \(440\)
- C \(484\)
- D \(512\)
Answer & Solution
Correct Answer
(B) \(440\)
Step-by-step Solution
Detailed explanation
\(\frac{ n _1}{ n _2}=\frac{\frac{ v _1}{4 \ell}}{\frac{ v _2}{4 \ell}}\) \(\frac{400}{ n _2}=\frac{ v _1}{ v _2}[\text { from } v \propto \sqrt{ T }]\)
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