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

Question

Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 120cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 140cm .

A) What is the wavelength of the sound?

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

.... I have tried the answers for A) .40 m, 40 cm , 120 cm all wrong! What am I messing up on? I tried using other examples but the seperations were ~20cm not 120cm. can someone help please!

Explanation / Answer

a) delta x1 = 120 cm, delta x2 = 140 cm

delta x2 - delta x1 = lambda / 2

lambda = 2( delta x2 - delta x1)

= 2 ( 140 cm- 120cm)

= 40 cm

---------------------------------------------

b) The separation between the speakers

= 120 cm+ 40 cm

= 160 cm

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