A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. What are the range of wavelengths in the air attained by this instrument when the speed of sound in air is 340 m/s?

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Answer 1 · 2016-05-10T07:10:24

#lambda_"minimum"=0.081 " m"#
#lambda_"maximum"=12.143 " "m#

#"A velocity of wave is given as "V=lambda *f#

#V:"velocity of wave"#
#f:"frequency of wave"#
#lambda:"wave length"#

#lambda=V/f#

#lambda_"minimum"=V/f_"maximum"#

#lambda_"minimum"=340/4200#

#lambda_"minimum"=0.081 " m"#

#lambda_"maximum"=V/f_"minimum"#

#lambda_"maximum"=340/28#

#lambda_"maximum"=12.143 " "m#