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Byju's Answer
Standard XII
Physics
Intro to Standing Waves
What are the ...
Question
What are the wave speed?
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Solution
Frequency of nth node is given by
ν
n
=
n
v
2
L
Frequency of (n+1)th node
ν
n
+
1
=
(
n
+
1
)
v
2
L
So,
ν
n
+
1
−
ν
n
=
(
n
+
1
−
1
)
v
2
L
=
v
2
L
Or
420
−
315
=
v
2
L
As,
ν
o
=
v
2
L
=
105
H
z
Or
v
2
×
0.75
=
105
So, wave speed
v
=
105
×
2
×
0.75
=
157.5
m
/
s
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