Consider two identical |SIMPLE HARMONIC MOTION|JEE-Main-2021

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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 $\frac{T_b}{T_a}=\sqrt{x}$, where value of $x$ is $\_\_\_\_$ .

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