Question 5 As Section 27.5 discusses, sound waves diffract or bend around the ed

Question

Question 5 As Section 27.5 discusses, sound waves diffract or bend around the edges of a doorway. Larger wavelengths diffract more than smaller wavelengths. (a) The speed of sound is 343 m/s. With what speed would a 51.2 kg person have to move through a doorway to diffract to the same extent as a 104 Hz bass tone? (b) At the speed calculated in part (a), how long in years (365.25 days) would it take the person to move a distance of one meter? (a) Number Units (b) Number Units By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 0 of 3 used SAVE FOR LATER SUBMIT ANSWER copyright 2000-2015 by John Wiley & Sons, Inc. or related companies. All rights reserved.

Explanation / Answer

As it is given that the wavelength of the two should be equal therefore
sound =person

sound =h/mpersonvperson

but sound =vsound/fsound

vsound/fsound =h/mpersonvperson

vperson =hfsound/mpersonvsound

vperson =(6.63*10-34)(104)/(51.2)(343) =3.926*10-36m/s

b)given x=1m

t =x/vperson =1/3.926*10-36 =2.5469*1035s

t=2.5469*1035/(365.25*24*3600)=8.0707*1027 years

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