NEET Sample Paper NEET Sample Test Paper-9

  • question_answer A body of mass m hangs from three springs, each of spring constant K, as shown. If the mass is slightly displaced and released, the system will oscillate with time period is:

    A)  \[2\pi \sqrt{\frac{m}{3K}}\]                  

    B)  \[2\pi \sqrt{\frac{3m}{2K}}\]

    C)              \[2\pi \sqrt{\frac{3m}{3K}}\]                

    D)  \[2\pi \sqrt{\frac{3K}{m}}\]

    Correct Answer: B

    Solution :

    For the system of springs, \[{{K}_{eq}}=\frac{K\times 2K}{K+2K}=\frac{2}{3}K\] \[T=2\pi \sqrt{\frac{m}{\frac{2}{3}K}}\] \[=2\pi \sqrt{\frac{3m}{2K}}\]

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