Two loudspeakers emit sound waves along the X-axis. The sound has maximum intensity when the speakers are 20 cm apart The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 60 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?

Aryanna Fisher

Aryanna Fisher

Answered question

2022-11-04

Two loudspeakers emit sound waves along the X-axis. The sound has maximum intensity when the speakers are 20 cm apart The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 60 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?

Answer & Explanation

teleriasacr

teleriasacr

Beginner2022-11-05Added 21 answers

(a) Since the interference pattern, after one loudspeaker was moved by 40 cm, (perhaps it is easier to imagine one loudspeaker fixed and only the other moving) the wavelength is 80 cm
(b) For the intensity to reach a new maximum, the displacement from the previous one will have to be one wavelength.
Therefore, the distance between the two loudspeakers will be the initial distance plus one wavelength; that is,
d'=20+80=100cm
Result:
(a)80cm, (b)100cm

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