1.

The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe is 100 Hz. The frequency of the third harmonic of the closed pipe is

Answer»

100 Hz
200 Hz
300 Hz
150 Hz

Solution :Let, LENGTH of open ORGAN PIPE `=I_(a)`and length of closed organ pipe `=I_( c)`
and `I_(a) = 2l_( c)`
Fundamental frequency of the open pipe, `v_(0) = 100 Hz`
Also, `v_(0) =v/(2l_(0)) = 100`
`v/l_(0) = 200, v/(2l_(0))= 200` or `v/l_(c ) = 400`
Fundamental frequency of closed organ pipe
`v_( c) =v/(4l_( c)) = 400/4 = 100 Hz`


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