A block of mass $m$ attached to massless spring is performing oscillatory motion of amplitude $'A'$ on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the amplitude of oscillation for the remaining system become $fA.$ The value of $f$ is

  • [JEE MAIN 2020]
  • A

    $\frac{1}{2}$

  • B

    $\frac{1}{\sqrt{2}}$

  • C

    $1$

  • D

    $\sqrt{2}$

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