If the period of oscillation of mass $m$ suspended from a spring is $2\, sec$, then the period of mass $4m$ will be  .... $\sec$

  • [AIIMS 1998]
  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    $4$

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  • [JEE MAIN 2021]

Block $A$ is hanging from a vertical spring and it is at rest. Block $'B'$ strikes the block $'A'$ with velocity $v$ and stick to it. Then the velocity $v$ for which the spring just attains natural length is: