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NEET Sample Paper NEET Sample Test Paper-5

  • question_answer
    If \[{{\lambda }_{1}},{{\lambda }_{2}}\] and \[{{\lambda }_{3}}\] are the wavelengths of the waves giving responce with the fundamental, first and second overtones respectively of a closed organ pipe, then the ratio of wavelengths \[{{\lambda }_{1}}:{{\lambda }_{2}}:{{\lambda }_{3}}\] is:

    A)  \[1:2:3\]         

    B)  \[1:\frac{1}{3}:\frac{1}{5}\]

    C)  \[1:3:5\]                      

    D)  \[5:3:1\]

    Correct Answer: B

    Solution :

    As             \[l=\frac{{{\lambda }_{1}}}{4}\] \[{{\lambda }_{1}}=4l\] \[l=\frac{3{{\lambda }_{2}}}{4}\] \[{{\lambda }_{2}}=\frac{4l}{3}\] \[l=\frac{5{{\lambda }_{2}}}{4}\] \[{{\lambda }_{3}}=\frac{4l}{5}\] \[={{\lambda }_{1}}:{{\lambda }_{2}}:{{\lambda }_{3}}=1:\frac{1}{3}:\frac{1}{5}\]


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