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The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is

A

1:2

B

2:1

C

1:3

D

3:1

Step-by-Step Solution

Fundamental frequency of an open pipe is fo=v2Lf_o = \frac{v}{2L}. Fundamental frequency of a closed pipe is fc=v4Lf_c = \frac{v}{4L}. The ratio fo/fc=(v/2L)/(v/4L)=4/2=2/1f_o / f_c = (v/2L) / (v/4L) = 4/2 = 2/1.

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