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Byju's Answer
Standard XII
Physics
Wave Equation
If the speake...
Question
If the speakers are incoherent, the intensity at point P is
2.78
×
10
x
W
m
−
2
.
Find x.
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Solution
Intensity of sound at a distance
r
, from the point source of sound of power
P
is given by ,
I
=
P
/
4
π
r
2
,
given
P
1
=
P
2
=
1
M
W
=
10
3
W
,
r
1
=
2
m
,
r
2
=
3
m
,
intensity of first speaker ,
I
1
=
P
1
/
4
π
r
2
1
=
10
3
/
(
4
×
3.14
×
2
2
)
=
19.9
W
/
m
2
,
intensity of second speaker ,
I
2
=
P
2
/
4
π
r
2
2
=
10
3
/
(
4
×
3.14
×
3
2
)
=
8.84
W
/
m
2
,
as source are incoherent therefore they will not produce interference at point P , therefore resultant intensity at point P ,
I
=
I
1
+
I
2
,
or
I
=
19.9
+
8.84
=
28.74
W
/
m
2
,
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