Question 473: Waves

Question

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

Accepted Answer

$${f_0} = {v \over {2L}} = {{\sqrt {{{\gamma RT} \over M}} } \over {2L}}$$
$${{{f_{{0_1}}}} \over {{f_{{0_2}}}}} = \sqrt {{{{T_1}} \over {{T_2}}}}  = \sqrt {{{300} \over {363}}}  = {1 \over {1.1}}$$
$${f_{{0_2}}} = 1\,.\,1{f_{{0_1}}} = 1\,.\,1(400)$$
$$ = 440$$ Hz

Answer

512 Hz

Answer

420 Hz

Answer

440 Hz

Answer

484 Hz

Waves

An organ pipe filled with a gas at 27$^\circC resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90^\circ$C, the resonance frequency at the same mode will be

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