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MHT CET 2019 Physics Solved Paper
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© examsnet.com
Question : 4
Total: 50
Two open pipes of different lengths and of same diameter in which the air column vibrates with fundamental frequencies
′
n
1
′
and
′
n
2
′
respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be
n
1
+
n
2
n
1
n
2
n
1
n
2
2
n
2
+
n
1
2
n
1
+
n
2
n
1
n
2
n
1
n
2
n
1
+
n
2
Validate
Solution:
v
=
n
λ
[for open pipe in fundamental mode
λ
=
2
l
,
where I is the length of the pipe]
So,
v
=
n
1
(
2
l
1
)
=
n
2
(
2
l
2
)
=
n
3
2
(
l
1
+
l
2
)
⇒
1
n
3
=
1
n
1
+
1
n
2
⇒
n
3
=
n
1
n
2
n
1
+
n
2
© examsnet.com
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