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
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
- [AIPMT 1990]
- [AIIMS 2019]
- A
$T = 2\pi \sqrt {\left( {\frac{m}{{{K_1} + {K_2}}}} \right)} $
- B
$T = 2\pi \sqrt {\left( {\frac{m}{{{K_1} + {K_2}}}} \right)} $
- C
$T = 2\pi \sqrt {\left( {\frac{{m({K_1} + {K_2})}}{{{K_1}{K_2}}}} \right)} $
- D
$T = 2\pi \sqrt {\left( {\frac{{m{K_1}{K_2}}}{{{K_1} + {K_2}}}} \right)} $
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