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, Easy
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(c) In series ${k_{eq}} = \frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}}$
so time period $T = 2\pi \sqrt {\frac{{m({k_1} + {k_2})}}{{{k_1}{k_2}}}} $
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