The first obertone of an open organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of 2.2 Hz. The fudamental frequency of clos3ed organ pipe is 110 Hz. Find length of the open pipe. (Given, sound in air =330 m/s )A. 1.0067m onlyB. 0.9937m onlyC. 1.0067 or 0.9937mD. 0.75m

The first obertone of an open organ pipe beats with the first overtone

1.	The first obertone of an open organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of 2.2 Hz. The fudamental frequency of clos3ed organ pipe is 110 Hz. Find length of the open pipe. (Given, sound in air =330 m/s )A. 1.0067m onlyB. 0.9937m onlyC. 1.0067 or 0.9937mD. 0.75m
Answer» Correct Answer - C Let `l_c " and " l_0` represent the length of closed and open end organ pipes `n_c=110 therefore n_1=3n_c=3xx110=330` First overtone of closed pipe `n_10 - n_(1c) = pm2.2` `n_10-3n_c = pm 2.2` gt `n_10-330 = pm 2.2` `therefore n_10 = 322.2 " or " 327.8` `l_(01) = (330)/(330pm2.2) = (330)/(332.2) " or " (330)/(327.8)` ` l_(01) = 0,9937 " or " 1.0067`

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