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JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Critical Thinking

  • question_answer
    Three masses 700g, 500g, and 400g are suspended at the end of a spring a shown and are in equilibrium. When the 700g mass is removed, the system oscillates with a period of 3 seconds, when the 500 gm mass is also removed, it will oscillate with a period of

    A)            1 s

    B)            2 s

    C)            3 s 

    D)            \[\sqrt{\frac{12}{5}}\,s\]

    Correct Answer: B

    Solution :

                       When mass 700 gm is removed, the left out mass (500 + 400) gm oscillates with a period of 3 sec                    \  \[3=t=2\pi \sqrt{\frac{(500+400)}{k}}\]                         ?...(i)                       When 500 gm mass is also removed, the left out mass is 400 gm.                              \ \[{t}'=2\pi \sqrt{\frac{400}{k}}\]                                                        ?..(ii)            Þ \[\frac{3}{{{t}'}}=\sqrt{\frac{900}{400}}\] Þ \[{t}'=2\sec \]


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