Answer:
The wave length of the sound is 66 cm.
The separation between the speakers is 85 cm.
Explanation:
Given that,
Distance between the speakers = 19 cm
Reaching zero at separation = 52 cm
(a). We need to calculate the wave length of the sound
Using formula of wavelength
[tex]\dfrac{\lambda}{2}=\Delta x_{2}-\Delta x_{1}[/tex]
[tex]\lambda=2\times(\Delta x_{2}-\Delta x_{1})[/tex]
Put the value into the formula
[tex]\lambda=2\times(52-19)[/tex]
[tex]\lambda=66\ cm[/tex]
The wave length of the sound is 66 cm.
(b). if the distance between the speakers continues to increase the intensity will again be a maximum when the separation between the speakers that produces a maximum has increased by one wave length
We need to calculate the separation between the speakers
Using formula of separation
[tex]d=19+66[/tex]
[tex]d=85\ cm[/tex]
The separation between the speakers is 85 cm.
Hence, The wave length of the sound is 66 cm.
The separation between the speakers is 85 cm.