$A$ body of mass $m$ is attached to the lower end of a spring whose upper end is fixed. The mass of the spring is negligible. When the mass $m$ is pulled down slightly and released,it oscillates with a time period of $3 \ s$. When the mass $m$ is increased by $1 \ kg$,the time period of oscillation becomes $5 \ s$. What is the value of $m$ in $kg$?

  • A
    $\frac{16}{9}$
  • B
    $\frac{9}{16}$
  • C
    $\frac{3}{4}$
  • D
    $\frac{4}{3}$

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