Two sources of sound and vibrate at same frequency and are in phase (figure below). The intensity of sound detected at a point as shown in the figure is . If θ equals , what will be the intensity of sound detected at this point if one of the sources is switched off?
Step 1: Given
Frequency of sources:
Amplitude of sources:
Intensity at point P:
Angle:
Step 2: Formula Used
Step 3: Find the intensity
Both the sources are in same phase, which implies that the path difference will be . Calculate the value of a by using the formula.
When one of the sources is switched off, the intensity will be only due to the square of amplitude of one of the source. Calculate the intensity.
Hence, the intensity of sound is .