Question

A pair of in-phase stereo speakers is placed side by side, 0.764 m apart. You stand directly in front of one of the speakers, 2.34 m from the speaker.What is the lowest frequency that will produce constructive interference at your location?

f= ?Hz

Answer 1

f = 2858.33 Hz

Step-by-step explanation:

given,

distance between speaker (A) and the person = 2.34 m

Distance between speaker (B) and the person is AB =

=
`√((0.764)^2 + (2.34)^2)`

= 2.46 m

path difference d = BP - AP

= 2.46 - 2.34 m

= 0.12 m

now, λ = 0.12

speed of sound = 343 m/s

`f= (c)/(\lambda)`

`f= (343)/(0.12)`

f = 2858.33 Hz

the lowest frequency that will produce constructive interference is equal to

f = 2858.33 Hz