Consider two identical springs each of spring constant $k$ and negligible mass compared to the mass $M$ as shown. Fig. $1$ shows one of them and Fig. $2$ shows their series combination. The ratios of time period of oscillation of the two SHM is $\dfrac{{T}_{b}}{{T}_{a}} = \sqrt{x},$ where value of $x$ is ______.
(Round off to the Nearest Integer)

Question

Consider two identical springs each of spring constant $k$ and negligible mass compared to the mass $M$ as shown. Fig. $1$ shows one of them and Fig. $2$ shows their series combination. The ratios of time period of oscillation of the two SHM is $\dfrac{{T}_{b}}{{T}_{a}} = \sqrt{x},$ where value of $x$ is ______.

(Round off to the Nearest Integer)

Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1

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Correct answer: 0

T _ a = 2π (M)/(K) T _ b = 2π (M)/(K / 2) T _ b T _ a = 2 = x

Consider two identical springs each of spring constant k and...

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