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The second overtone of an open pipe A and a closed pipe B have the same frequencies at a given temperature. Both the pipes contain air. The ratio of fundamental frequency of A to that of B is,
  • a)
    3:5
  • b)
    5:3
  • c)
    5:6
  • d)
    6:5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The second overtone of an open pipe Aand a closed pipe Bhave the same ...
Let, v be the velocity of a wave.
Length of open pipe A be l1.
 Length of closed pipe B be l2.
Formula used:
nth overtone of an open pipe f= (n+1)f0, where for open pipe fundamental frequency f= v/2l
nth overtone of a closed pipe fn = (2n+1)f0, where for closed pipe fundamental frequency f= v/4l.
Now, solving the problem

Since, it is given that frequencies are same,
Now, the ratio of fundamental frequencies,
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The second overtone of an open pipe Aand a closed pipe Bhave the same frequencies at a given temperature. Both the pipes contain air. The ratio of fundamental frequency of Ato that of Bis,a)3:5b)5:3c)5:6d)6:5Correct answer is option 'B'. Can you explain this answer?
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