1.

The third overtone of an open organ pipe of length lo has the same frequency as the third overtone of a closed pipe of length lc. The ratio lo /lc is equal to (a) 2 (b) 3/2 (c) 5/3 (d) 8/7 

Answer»

Correct Answer is: (d) 8/7

Let no and nc be the fundamental frequencies of the open and closed pipes.

∴ no = V/2l and nc =V/4lc .

Third overtone of the closed pipe = 7nc

Third overtone of the open pipe = 4no.



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