Question

Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 21 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 61 cm. a. What is the wavelength of the sound

Answer 1

The answer is "80 cm".

Step-by-step explanation:

The distance of 21 cm between the speaker's effect of high strength but a spacing of 61 cm corresponds to a zero to zero intensity, that also is, the waves are all in phase with others
`\Delta \ x_1 = 21 \ cm` this is out of phase
`\Delta\ x_2 = 61\ cm`

`\therefore\\\\\Delta\ x_2 -\Delta\ x_1 = (\lambda)/(2)\\\\\lambda= 2( \Delta\ x_2 -\Delta\ x_1)`

`= 2 ( 61\ cm - 21\ cm)\\\\ = 2(40\ cm)\\\\= 80\ cm`