A body mass \( m \) is attached to the lower end of a spring whose upper end is fixed. The sprin...

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A body 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 \( 3 \mathrm{~s} \). When the mass \( m \) is increased by \( 1 \mathrm{~kg} \), the time period of oscillations becomes \( 5 \mathrm{~s} \). The value of \( m \) in \( \mathrm{kg} \) is
(a) \( \frac{3}{4} \)
(b) \( \frac{4}{3} \)
(c) \( \frac{16}{9} \)
(d) \( \frac{9}{16} \)
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