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MHT CET 2021 (24 Sep, Shift 1) · Spring Systems

Spring Systems question from MHT CET 2021 (24 Sep, Shift 1)

Q63MHT CET 2021 · 24 SEP · SHIFT 1Easy

Spring Systems

Two identical springs of constant ' $K$ ' are connected in series and parallel in shown in figure. A mass ' $M$ ' is suspended from them. The ratio of their frequencies is series to parallel combination will be

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Answer: (a)

Series: $k_s = \frac{K \cdot K}{2K} = \frac{K}{2}$ . Parallel: $k_p = 2K$ .
$f \propto \sqrt{k}$ , so $\frac{f_s}{f_p} = \sqrt{\frac{K/2}{2K}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$
So the answer is (a) $1:2$ .

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