Two pipes are each $50 c m$ in length. One of them is closed at one end while other is open at both ends. The speed of sound in air is $340 m s^{- 1}$ . The frequency at which both the pipes can resonate is:

680 H z

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510 H z

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85 H z

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None of these

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Solution

The correct option is D None of these
A pipe open only at one end and another one of equal length but open at both the ends have their fundamental frequencies $v a n d 2 v$ respectively. Again only odd harmonics are possible for a pipe open at one end whereas all second harmonics are possible for a pipe open at both ends. Thus, it is impossible to have a common frequency at which they can resonate.
There fore correct option is $(D)$

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Two pipes are each 50cm in length. One of them is closed at one end while other is open at both ends. The speed of sound in air is 340ms−1. The frequency at which both the pipes can resonate is:

Two pipes are each $50 c m$ in length. One of them is closed at one end while other is open at both ends. The speed of sound in air is $340 m s^{- 1}$ . The frequency at which both the pipes can resonate is: