Lucy has three sources of sound that produce pure tones with wavelengths of 84 c

Question

Lucy has three sources of sound that produce pure tones with wavelengths of 84 cm, 140 cm, and 40 cm. She also has an assortment of narrow tubes that are closed off at one end but open at the other. After experimenting, Lucy notices that each tone will resonate with tubes of some lengths, but not with others. For each wavelength, determine which tube length(s), it any, will resonate with sound of that wavelength. Wavelength of sound: 84 cm 140 cm 40 cm Length of tube: 42 cm 21 cm 105 cm 35 cm 63 cm 30 cm

Explanation / Answer

for 84 cm,lenghths of tube for which resonance is possible are21,63,105cm

for 140 cm,lenghths of tube for which resonance is possible are 35,105cm

for 40 cm,lenghths of tube for which resonance is possible are30cm

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