A body of mass $m $ is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass $m$ is slightly pulled down and released , it oscillates with a time period of $3\,s$ . When the mass $m$ is increased by $1\,kg$ , the time period of oscillations becomes $5\,s$ . The value of $m$ in $kg$ is
  • A$\frac{16}{9}$
  • B$\frac{9}{16}$
  • C$\frac{3}{4}$
  • D$\frac{4}{3}$
NEET 2016, Medium
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