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AIIMS AIIMS Solved Paper-1999

  • question_answer
    A resonance air column of length 20 cm resonates with a tuning fork of frequency 450 Hz. Ignoring the correction, the velocity of sound in air will be

    A) \[920\text{ }m/s\]        

    B)        \[720\text{ }m/s\]          

    C)        \[820\text{ }m/s\]         

    D)        \[360\text{ }m/s.\]

    Correct Answer: D

    Solution :

                    We know that the minimum length of the air column in a resonance tube corresponds to the fundamental mode of vibrations. Hence by ignoring end correction. \[l=\frac{\lambda }{4}\] \[\Rightarrow \]\[\lambda =4l=4\times 20=80cm=0.8m\] Resonant frequency \[\upsilon =450Hz\] \[\therefore \]  Speed of sound  \[v=v\lambda \] \[=450\times 0.8=360m/s\]


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