- #1
aatari
- 73
- 3
Hi guys I am having trouble determining a quite spot based on where you stand in respect to distance from the speakers. I have solved the question below but I need someone to explain to me how the "n" value can be used to determine a quite or not-quite spot. Am I looking for whole numbers? If n is a whole number its constructive interference and therefore, noisy spot and if n is not a whole number then its destructive interference and a quite spot?
Can someone please help!
A student enters Best Buy prepared to buy a pair of speakers. Before he does, he conducts an experiment with them. He places them 4.0 m apart and then connects a signal generator to both speakers that produces a single tone of 240 Hz. He then walks in front of the speakers so that he is 2.0 m from one speaker and 5.0 m from the other. If the speed of the sound in the room is 360 m/s, will he be standing in a “quiet” spot? Explain.
v = f. λ
PD = (n-1/2) λ
3. The Attempt at a Solution
λ = 360/240
λ = 1.5 m
PD = (n-1/2) λ
|5.0 – 2.0| = (n – 0.5) 1.5
3.0 = 1.5n – 0.75
3.0 + 0.75 = 1.5n
3.75 = 1.5n
n = 3.75/1.5
n = 2.5
Can someone please help!
Homework Statement
A student enters Best Buy prepared to buy a pair of speakers. Before he does, he conducts an experiment with them. He places them 4.0 m apart and then connects a signal generator to both speakers that produces a single tone of 240 Hz. He then walks in front of the speakers so that he is 2.0 m from one speaker and 5.0 m from the other. If the speed of the sound in the room is 360 m/s, will he be standing in a “quiet” spot? Explain.
Homework Equations
v = f. λ
PD = (n-1/2) λ
3. The Attempt at a Solution
λ = 360/240
λ = 1.5 m
PD = (n-1/2) λ
|5.0 – 2.0| = (n – 0.5) 1.5
3.0 = 1.5n – 0.75
3.0 + 0.75 = 1.5n
3.75 = 1.5n
n = 3.75/1.5
n = 2.5