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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    Two identical springs, each of spring constant K, are connected first series and then in parallel. A mass M is suspended from them. The ratio of the frequencies of vertical oscillations will be:

    A)  \[2:1\]                 

    B)         \[1:1\]

    C)  \[1:4\]                 

    D)         \[4:1\]

    E)  \[1:2\]

    Correct Answer: E

    Solution :

    Time-period of spring mass system is \[T=2\pi \sqrt{\frac{m}{k}}\] When connected in series \[k=\frac{k}{2}\] When connected in parallel \[k\,=2k\] \[\therefore \]  \[\frac{T}{T\,\,}=\sqrt{\frac{k}{2(2k)}}=\frac{1}{2}\]


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