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

Answer:

f = 2858.33 Hz

Explanation:

given,

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

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

            =$\sqrt{(0.764)^2 + (2.34)^2}$

            = 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

    $f= \dfrac{c}{\lambda}$

    $f= \dfrac{343}{0.12}$

              f = 2858.33 Hz

the lowest frequency that will produce constructive interference is equal to

f = 2858.33 Hz