Two loudspeakers emit sound waves along the x -axis. The sound has maximum inten

Question

Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 15 cmapart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 54 cm .

Part A

What is the wavelength of the sound?

Express your answer to two significant figures and include the appropriate units.

Part B

If the distance between the speakers continues to increase, at what separation will the sound intensity again be a maximum?

Express your answer with the appropriate units.

Explanation / Answer

a)What is given is

(i) separation of 15cm between the speakers leads to maximum intensity on the x axis,

(ii) Separation of 54 cm leads to zero to zero intensity ,

so,the waves are in phase at x1 = 15cm

and out of phase when x2 = 54 cm

thus

x2 -x1 = /2

= 2( x2 -x1) = 2 ( 54cm- 15cm) = 78 cm

b)for getting the maximum intensity ,separation should increase by one complete wavelength than at the previous point of maximum intensity so

maximum intensity is at x=78+15=93 cm

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