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An organ pipe \mathrm{P}, is closed at one end and vibrating in its first overtone and another pipe \mathrm{P_2} opened at both sides (ends) vibrating in its third overtone are in resonance with a given turning fork. Then, the ratio of lengths \mathrm{P_1 \: and \: P_2} is -
 

Option: 1

\frac{1}{3}
 


Option: 2

\frac{2}{3}
 


Option: 3

\frac{8}{3}
 


Option: 4

\frac{3}{8}


Answers (1)

best_answer

first overtone of closed pipe \mathrm{\left(P_1\right)=} Third overtone of open pipe \mathrm{ \left(P_2\right)}

\mathrm{3\left(\frac{V}{4 l_1}\right) =4\left(\frac{V}{2 l_2}\right) }

\mathrm{\frac{l_1}{l_2} =\frac{3}{8} }

Hence Option 4 is correct.



 

Posted by

Sayak

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