JEE Main & Advanced Sample Paper JEE Main Sample Paper-18

  • question_answer
    A block of mass m is suspended from the ceiling of a stationary elevator through a spring of spring constant k. Suddenly, the cable breaks and the elevator starts falling freely. The block now executes a simple harmonic motion. The amplitude of S.H.M. is

    A)  \[mg\text{/}k\]              

    B)  \[mg\text{/}\,\text{4}\,k\]

    C)  \[mg\text{/}\,\text{2}k\]                           

    D)  zero

    Correct Answer: A

    Solution :

     When the elevator is stationary \[kx=mg\] \[\Rightarrow \]               \[x=mg\text{/}k\] When the elevator falls with g, the apparent weight is zero. So, the equilibrium position corresponds to the natural length of the spring. So, amplitude\[=mg\text{/}k\]


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