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 25 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 51 cm .

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?

Note: pleae provide the answer with real mathmatical symboles, not merely keyboard parenthesis and slashes.

Explanation / Answer

part A

for wavelength of sound
51cm - 25cm = 26cm
therefore, 1/2wavelength = 26cm
1 wavelength = 52cm

part B

Took 26cm for it to go out of phase (which is 1/2 wavelength). Add 26cm to 51cm to get it to be in phase again

that is new distance between speakers = 51cm + 26cm = 77cm

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