Two identical speakers emit sound waves of frequency uniformly in all directions

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

Two identical speakers emit sound waves of frequency

680\,\mathrm{Hz}

uniformly in all directions, with a total audio output of

1\,\mathrm{mW}

each. The speed of sound in air is

340\,\mathrm{m\,s^{-1}}

. A point

P

2.00\,\mathrm{m}

from one speaker and

3.00\,\mathrm{m}

from the other. (1) Find the intensities

I_1

and

I_2

from each speaker at point

P

separately. (2) If the speakers are driven coherently and in phase, what is the intensity at point

P

? (3) If they are driven coherently but out of phase by

180^\circ

, what is the intensity at point

P

? (4) If the speakers are incoherent, what is the intensity at point

P