Two springs are joined and attached to a mass of 16 kg. The system is then suspended vertically from a rigid support. The spring constant of the two springs are $k_1 \mathrm{a}\mathrm{n}\mathrm{d} k_2$ respectively. The period of vertical oscilliations of the system will be

• Correct answer
  A

  $8\pi \sqrt{\frac{k_1+k_2}{k_1{k}_2}}$
• B

  $\frac{\pi }{2}\sqrt{\frac{k_1}{k_2}}$
• C

  $\sqrt{\frac{k_1+k_2}{8\pi }}$
• D

  $\pi \sqrt{\frac{k_1-k_2}{2}}$

Hence, the correct answer is option: 'A'.