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) $\frac{1}{2}, \sqrt{2}$
(2) $\frac{1}{4}, 2 \sqrt{2}$
(3) $\frac{1}{2}, 2 \sqrt{2}$
(4) $\frac{1}{4}, \sqrt{2}$
Correct Option: 1
Solution:
$T=2 \pi \sqrt{\frac{m}{K_{1}}}$
