wave_mechanics organ_pipe_vibration_of_air_column Question 3
Question: A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio
[Roorkee 1999]
Options:
A) 1 : 2
B) 2 : 3
C) 3 : 4
D) 4 : 5
Show Answer
Answer:
Correct Answer: C
Solution:
If is given that First over tone of closed pipe = First over tone of open pipe
Therefore $ 3( \frac{v}{4l _{1}} )=2( \frac{v}{2l _{2}} ) $ ; where l1 and l2 are the lengths of closed and open organ pipes hence $ \frac{l _{1}}{l _{2}}=\frac{3}{4} $
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