Question

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`

Answer 1

Correct Answer - B
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`