Question

Two speakers are spaced 15 m apart and are both producing an identical sound wave. You are standing at a spot as pictured. What would be the frequency produced by the speakers to create perfectly constructive interference? Assume n = 1 and v = 343 m/s
213.04 Hz
256.70 Hz
186.68 Hz
233.14 Hz

Answer 1

Answer:

213.04

Explanation:

Answer 2

Answer:

The correct answer is option 213.04 Hz

Explanation:

Hello!

Let's solve this!

In this link we will find the image of the problem.

https://smart-answers.com/physics/question14138735

Regarding that image, we will first calculate the distance from my position to S1 and then to S2. Then the difference between these results.

We will use pitagoras.

S1 = $\sqrt{10^{2}+22^{2} }$

S1 = 24.17

S2 = $\sqrt{5^{2}+22^{2} }$

S2 = 22.56

The difference will be:

24.17-22.56 = 1.61 m

Constructive interference:

Δr=n*λ

λ=1.61 m (for n = 1)

Then we will calculate the frequency:

f = v / λ

f = (343m / s) /1.61m

f = 213.04 Hz

So the correct answer is option 213.04 Hz