Question 435: 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^\circC, the resonance frequency at the same mode will be

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