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Byju's Answer
Standard XII
Physics
Pressure Wave vs Displacement Wave
The ratio of ...
Question
The ratio of displacement amplitude of wave at observation point to wavelength of sound waves is
A
3.22
×
10
−
6
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B
3.22
×
10
−
12
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C
3.22
×
10
−
9
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D
1.07
×
10
−
10
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Solution
The correct option is
D
3.22
×
10
−
9
As pressure oscillation amplitude
P
o
=
3
×
10
−
3
N
/
m
2
(solved earlier)
Let
s
o
and
λ
be the displacement amplitude and
wavelength of the wave respectively.
Now
P
o
=
B
k
s
o
where
B
=
p
v
2
and
k
=
2
π
λ
⟹
s
o
λ
=
P
o
2
π
p
v
2
=
3
×
10
−
3
2
×
3.14
×
(
330
)
2
×
15
11
⟹
s
o
λ
=
3.22
×
10
−
9
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0
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