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CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    When three masses 700g, 500g and 400g are suspended at the end of a spring as shown, they are in equilibrium. If the mass of 700g is removed, then system oscillates  500 g with a period of 3 s, if further  400g 500 g mass is also removed then the system will .oscillate with a period of

    A)  1s                                          

    B)  2s

    C)  3s                                          

    D)  4s

    Correct Answer: B

    Solution :

                    When 700 g mass is removed, the remaining masses (500 + 400)g oscillate a period of 3 s \[\therefore \]  \[3=2\pi \sqrt{\left( \frac{500+400}{k} \right)}\] ?(i) If 500g mass is also removed, the remaining mass is 400 g, its time period \[t=2\pi \sqrt{\frac{400}{k}}\]                    ?(ii) Dividing Eq. (i) by Eq. (ii) \[\frac{3}{t}=\sqrt{\frac{900}{400}}=\frac{3}{2}\Rightarrow t=2\,s\]


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