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MHT CET 2024 (11 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2024 (11 May, Shift 2)

Q43MHT CET 2024 · 11 MAY · SHIFT 2Medium

Spring Systems

All the springs in fig. (a), (b) and (c) are identical, each having force constant K. Mass attached to each system is ' $m$ '. If $T_a, T_b$ and $T_c$ are the time periods of oscillations of the three systems respectively, then

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Answer: (d)

(a) single spring: $T_a = 2\pi\sqrt{m/K}$ .
(b) series, $K/2$ : $T_b = \sqrt{2}\,T_a$ . (c) parallel, $2K$ : $T_c = T_a/\sqrt{2}$ .
$T_b/T_c = 2$ , so $T_b = 2T_c$ .
So the answer is (d).

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