wave_mechanics mock_test_waves_and_acoustics Question 10
Question: A closed organ pipe and an open organ pipe of same length produce 2 beats when they are set into vibration simultaneously in their fundamental mode. The length of the open organ pipe is now halved and of the closed organ pipe is doubled; the number of beats produced will be
Options:
A) 8
B) 7
C) 4
D) 2
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ f _{o}-f _{c}=2 $ or $ \frac{v}{2l}-\frac{v}{4l}=2 $ or $ \frac{v}{4l}=2 $ or $ \frac{v}{l}=8 $ When length of OOP is halved and that of COP is doubled, the beat frequency will be $ f _{o}’-f _{c}’=\frac{v}{l}-\frac{v}{8l}=\frac{7}{8}\frac{v}{l}=\frac{7}{8}\times 8=7 $
BETA
