Oscillations

Question: A mass m is suspended from the two coupled springs connected in series. The force constant for springs are ${{K}_{1}}$ and ${{K}_{2}}$. The time period of the suspended mass will be

1) $T=2\pi \sqrt{\left( \frac{m}{{{K}_{1}}+{{K}_{2}}} \right)}$

2) $T=2\pi \sqrt{\left( \frac{m}{{{K}_{1}}+{{K}_{2}}} \right)}$

3) $T=2\pi \sqrt{\left( \frac{m({{K}_{1}}+{{K}_{2}})}{{{K}_{1}}{{K}_{2}}} \right)}$

4) $T=2\pi \sqrt{\left( \frac{m{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}} \right)}$

Solution:

Explanation: No Explanation

Spring mass system combination of springs

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