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1. Two sounds are created at the same frequency but are 180 degrees out of phase

ID: 1508831 • Letter: 1

Question

1.Two sounds are created at the same frequency but are 180 degrees out of phase. What will the resulting wave form look like?
2.Two waveforms are created in phase but their frequencies differ by about 10%. What will the combinded wave form be like?
3.Two speakers, one directly behind the other, are each generating a 245 Hz sounds wave. What is the smallest separation distance between the speakers that will produce destruictive interference at a listener standing in from of them? The speed of sound is 343 m/s.
4.Two cars have identical horns, each emitting a frequency of fs = 395 Hz. One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystamder?
1.Two sounds are created at the same frequency but are 180 degrees out of phase. What will the resulting wave form look like?
2.Two waveforms are created in phase but their frequencies differ by about 10%. What will the combinded wave form be like?
3.Two speakers, one directly behind the other, are each generating a 245 Hz sounds wave. What is the smallest separation distance between the speakers that will produce destruictive interference at a listener standing in from of them? The speed of sound is 343 m/s.
4.Two cars have identical horns, each emitting a frequency of fs = 395 Hz. One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystamder?

2.Two waveforms are created in phase but their frequencies differ by about 10%. What will the combinded wave form be like?
3.Two speakers, one directly behind the other, are each generating a 245 Hz sounds wave. What is the smallest separation distance between the speakers that will produce destruictive interference at a listener standing in from of them? The speed of sound is 343 m/s.
4.Two cars have identical horns, each emitting a frequency of fs = 395 Hz. One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystamder?

Explanation / Answer

1)

the resulting wave look like a straight line


2)

the combined wave look like a beat

3)

for destructive interference the seperation should be half the wavelength


lambda = v / f = 343/245 = 1.4 m

sepeartion for destructive is lambda /2 = 0.7 m


4)

apparent frequency heard by stander due to moving car is

f = fs ( v/(v-vs)

f = 395 * (343 /(343-12))

f = 409.32 Hz

beat frequency is 409.32 - 395 = 14.32