Given
two sources of sound 1 is at origin and the another one is at 116 m
so the distance between two sources is 116 m
The source at the origin emits four times as much power as the other source
P1 = 4 P2
at x distance from the source at origin the intensity of two sources are equal
I1 = I2
the relation between power and intensity is
I = P / A
P1 / A1 = P2 / A2
4 P2 / A1 = P2 / A2
4 / 4πr12 = 1 / 4π r22
4 / r12 = 1 / r22
4 / x 2 = 1 / ( 116 - x ) 2
2 / x = 1 / 116 - x
2 ( 116 - x ) = x
232 = 3 x
x = 77.33 m ( between the sources )
at x = 77.33 m the intensity of two sounds are equal
Out side the sources
I = P / A
P1 / A1 = P2 / A2
4 P2 / A1 = P2 / A2
4 / 4πr12 = 1 / 4π r22
4 / r12 = 1 / r22
4 / x 2 = 1 / ( 116 + x ) 2
2 / x = 1 / 116 + x
2 ( 116 + x ) = x
x = -232 m
negative sign represents opposite direction to x- axis
Given
two sources of sound 1 is at origin and the another one is at 126 m
so the distance between two sources is 126 m
The source at the origin emits four times as much power as the other source
P1 = 4 P2
at x distance from the source at origin the intensity of two sources are equal
I1 = I2
the relation between power and intensity is
I = P / A
P1 / A1 = P2 / A2
4 P2 / A1 = P2 / A2
4 / 4πr12 = 1 / 4π r22
4 / r12 = 1 / r22
4 / x 2 = 1 / ( 126 - x ) 2
2 / x = 1 / 126 - x
2 ( 126 - x ) = x
252 = 3 x
x = 84 m ( between the sources )
at x = 84 m the intensity of two sounds are equal
Out side the sources
I = P / A
P1 / A1 = P2 / A2
4 P2 / A1 = P2 / A2
4 / 4πr12 = 1 / 4π r22
4 / r12 = 1 / r22
4 / x 2 = 1 / ( 126 + x ) 2
2 / x = 1 / 126 + x
2 ( 126 + x ) = x
x = -252 m
negative sign represents opposite direction to x- axis
Two sources of sound are located on the x axis, and each emits power uniformly in all directions. There are no reflecti...
A source emits sound uniformly in all directions. There are no reflections of the sound. At a distance of 12 m from the source, the intensity of the sound is 3.3 × 10-3 W/m2. What is the total sound power P emitted by the source?
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