If two similar springs each of spring constant $K _{1}$ are joined in series, the new spring constant and time period would be changed by a factor
  • A$\frac{1}{2}, \sqrt{2}$
  • B$\frac{1}{4}, \sqrt{2}$
  • C$\frac{1}{4}, 2 \sqrt{2}$
  • D$\frac{1}{2}, 2 \sqrt{2}$
JEE MAIN 2021, Medium
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