A mass $m$ is attached to two springs as shown in figure. The spring constants of two springs are $K _1$ and $K _2$. For the frictionless surface, the time period of oscillation of mass $m$ is
  • A$\frac{1}{2 \pi} \sqrt{\frac{ K _1+ K _2}{ m }}$
  • B$\frac{1}{2 \pi} \sqrt{\frac{ K _1- K _2}{ m }}$
  • C$2 \pi \sqrt{\frac{ m }{ K _1+ K _2}}$
  • D$2 \pi \sqrt{\frac{m}{K_1-K_2}}$
JEE MAIN 2023, Medium
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