The upper end of the spring is fixed and a mass $m$ is attached to its lower end. When the mass is slightly pulled down and released,it oscillates with a time period of $3 \text{ s}$. If the mass $m$ is increased by $1 \text{ kg}$,the time period becomes $5 \text{ s}$. The value of $m$ is (mass of the spring is negligible).
- A$\frac{3}{8} \text{ kg}$
- B$\frac{5}{9} \text{ kg}$
- C$\frac{8}{13} \text{ kg}$
- D$\frac{9}{16} \text{ kg}$
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