Question

Two small forward-facing speakers are 2.50 m apart. They are both emitting, in phase with each other, a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s. A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint. As she slowly walks parallel to the line connecting the speakers, at what angle θ (relative to the centerline coming outward from the midpoint between the speakers) will she first hear no sound?

B) 3.6°

Answer #1

The speed of the sound is and the frequency of the sound is

Wavelength of the sound is

Let the woman walks **'x _{1}' m** from the
center line at point

Since the two speakers emit sound of same wavelength, they mus
interfere with each other and at point **'P'**, the
intensity of the sound wave produce minima.

We know from **'Young's Double Slit'** Experiment ,
the position of
**n ^{th} **interference minima
occurs at a distance from center line is given by

The woman reaches to first minima when n=1.

So we get

From geometry we find

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