Question

Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 15 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 65 cm .
Required:
What is the wavelength of the sound?

Answer 1

Answer:

100 cm

Explanation:

It is given that there are two loudspeakers that produces $\text{sound waves }$ along x-axis.

The maximum intensity of the sound is $\text{when the speakers are}$ at a distance of = 15 cm apart.

The sound intensity becomes zero when the separation between the speakers are increased and becomes 65 cm.

Therefore, the sound waves are in the phase, $\Delta x_1=15 \ cm$

The sound waves are out of phase when $\Delta x_2=65 \ cm$

Therefore,

$\Delta x_2 - \Delta x_1 = \frac{\lambda}{2}$

$\lambda= 2(\Delta x_2 - \Delta x_1)$

  = 2 (65 - 15)

  = 2 x 50

  = 100 cm

Hence the wavelength of the sound is 100 cm.