If two similar springs each of spring constant

Question:

If two similar springs each of spring constant $\mathrm{K}_{1}$ are joined in series, the new spring constant and time period would be changed by a factor :

  1. (1) $\frac{1}{2}, \sqrt{2}$

  2. (2) $\frac{1}{4}, 2 \sqrt{2}$

  3. (3) $\frac{1}{2}, 2 \sqrt{2}$

  4. (4) $\frac{1}{4}, \sqrt{2}$


Correct Option: 1

Solution:

           $T=2 \pi \sqrt{\frac{m}{K_{1}}}$

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