Physics

posted by .

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 57.0 kg person have to move through a doorway to diffract to the same extent as a 146 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?

• Physics -

(a)
λ(sound)= λ1
λ (person)= λ2
λ(sound)= λ (person)
λ1= λ2
λ1=v/f=343/146=2.35 m.
λ2=h/p=h/(m•v2)
v2=h/(m• λ2)= h/(m• λ1)=
=(6.63•10^-34)/57•2.35 =4.95•10^-36 m/s.

(b) t=s/v=1/4.95•10^-36=
=2.02•10^35 s=6.4•10^27 years

Similar Questions

1. physics

An organ pipe is open at both ends. It is producing sound at its sixth harmonic, the frequency of which is 257 Hz. The speed of sound is 343 m/s. What is the length of the pipe?
2. PHYSICS

A tuning fork of frequency 558 Hz is placed near the top of the pipe shown in the Figure. The water level is lowered so that the length L slowly increases from an initial value of 20.0 cm. Determine the next two values of L that correspond …
3. physics

1)As a sound source moves away from a stationary observer, the number of waves will. decrease 2)How fast should a car move toward you for the car's horn to sound 2.88% higher in frequency than when the car is stationary?
4. physics

1)As a sound source moves away from a stationary observer, the number of waves will. decrease 2)How fast should a car move toward you for the car's horn to sound 2.88% higher in frequency than when the car is stationary?
5. physics

1)As a sound source moves away from a stationary observer, the number of waves will. A)increase B)decrease C)remain the same D)need to know the speed of the source (answer:decrease.) As the detector recedes from the source, the relative …
6. physics

A bat emits a sound whose frequency is 83.6 kHz. The speed of sound in air at 20.0 oC is 343 m/s. However, the air temperature is 36.0 oC, so the speed of sound is not 343 m/s. Assume that air behaves like an ideal gas, and find the …
7. Physics

The distance between a loudspeaker and the left ear of a listener is 2.19 m. (a) Calculate the time required for sound to travel this distance taking the speed of sound to be 343 m/s. (b) Assuming that the sound frequency is 525 Hz, …
8. when the energy of a sound wave is transferred to

when the energy of a sound wave is transferred to a particle of a medium and causes it to vibrate and generate heat, the sound wave is a. reflected b. refracted c. absorbed d. transmitted The pitch of the siren of a moving fire truck …
9. Science

6. Sonar is used to inspect pipelines and bridge foundations. In this scenario, sonar takes advantage of the fact that (1 point) A.sound waves can reflect.*** B.sound waves can diffract. C.sound waves can spread out. D.sound waves …
10. Science

if two waves are traveling at the same speed along the x axis will the one with the longer wavelength have the larger or smaller freq ?

More Similar Questions