jee-main 2003 Q34

jee-main · India Not Maths
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes $\frac{5\mathrm{~T}}{3}$. Then the ratio of $\frac{m}{M}$ is
(1) $\frac{3}{5}$
(2) $\frac{25}{9}$
(3) $\frac{16}{9}$
(4) $\frac{5}{3}$ 
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes $\frac{5\mathrm{~T}}{3}$. Then the ratio of $\frac{m}{M}$ is\\
(1) $\frac{3}{5}$\\
(2) $\frac{25}{9}$\\
(3) $\frac{16}{9}$\\
(4) $\frac{5}{3}$
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