An organ pipe filled with a gas at 27°C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90°C, the resonance frequency will be
(a) 420 Hz
(b) 440 Hz
(c) 484 Hz
(d) 512 Hz
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An organ pipe filled with a gas at 27°C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90°C, the resonance frequency will be
(a) 420 Hz
(b) 440 Hz
(c) 484 Hz
(d) 512 Hz
An organ pipe filled with a gas at 27°C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90°C, the resonance frequency will be
(a) 420 Hz
(b) 440 Hz
(c) 484 Hz
(d) 512 Hz
Correct Answer s: (b) 440 Hz
n ∝ V and V ∝ √T.
Here, n1 = 400 Hz T1 = 273 + 27 T2 = 273 + 90
n2/n1 = √((363)/(300)) = √(1.21) = 1.1.