2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Wave Mechanics

JEE Main & Advanced Physics Wave Mechanics Question Bank Organ Pipe (Vibration of Air Column)

  • question_answer
    An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz, then the fundamental frequency of open pipe is: [UPSEAT 2001; Pb. PET 2004]

    A)            480 Hz                                     

    B)            300 Hz

    C)            240 Hz                                     

    D)            200 Hz

    Correct Answer: D

    Solution :

               Fundamental frequency of open organ pipe \[=\frac{v}{2l}\]                    Frequency of third harmonic of closed pipe \[=\frac{3V}{4l}\]                    \[\therefore \frac{3v}{4l}=100+\frac{v}{2l}\]\[\Rightarrow \frac{3v}{4l}-\frac{2v}{4l}=\frac{v}{4l}=100\]\[\Rightarrow \frac{V}{2l}=200\,Hz.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner