# 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 reso

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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

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Frequency of pipe f prop v prop sqrt(T)
(f_(2))/(f_(1)) = sqrt((T_(1))/(T_(2))) = sqrt((273+90)/(273+27)) = 1.1
f_(2) = 1.1 f_(1) = 1.1 xx 400 = 440 Hz