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CMC Medical CMC-Medical VELLORE Solved Paper-2010

  • question_answer
    In the figure, \[{{S}_{1}}\] and \[{{S}_{2}}\] are identical springs. The oscillation frequency of the mass m is f. If one spring is removed, the frequency will become

    A)  \[f\]                                     

    B)  \[2f\]

    C)  \[\sqrt{2}f\]                     

    D)  \[\frac{1}{\sqrt{2}}f\]

    E)  None of these

    Correct Answer: D

    Solution :

                    For the given figure, \[f=\frac{1}{2\pi }\sqrt{\frac{{{k}_{eq}}}{m}}\]                   ?(i)                 \[=\frac{1}{2\pi }\sqrt{\frac{2k}{m}}\] If one spnng is removed, then\[{{k}_{eq}}=k\]and                 \[f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\]                     ?(ii) From Eqs. (i) and (ii), we get \[\frac{f}{f}=\sqrt{2}\] \[f=\frac{1}{\sqrt{2}}f\]


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