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Byju's Answer
Standard X
Physics
Resonance in Sound Waves
Two periodic ...
Question
Two periodic waves of amplitudes A
1
and A
2
pass thorough a region. If A
1
> A
2
, the difference in the maximum and minimum resultant amplitude possible is
(a) 2A
1
(b) 2A
2
(c) A
1
+ A
2
(d) A
1
− A
2
.
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Solution
(b) 2A
2
We know resultant amplitude is given by
A
net
=
A
1
2
+
A
2
2
+
2
A
1
A
2
cos
ϕ
For maximum resultant amplitude
A
max
=
A
1
+
A
2
For minimum resultant amplitude
A
min
=
A
1
-
A
2
So, the difference between A
max
and A
min
is
A
max
-
A
min
=
A
1
+
A
2
-
A
1
+
A
2
=
2
A
2
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