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JEE Main 2021 (26 Feb, Shift 1) · Spring Systems

Spring Systems question from JEE Main 2021 (26 Feb, Shift 1)

Q64JEE Main 2021 · 26 FEB · SHIFT 1Easy

Spring Systems

If two similar springs each of spring constant K1 are joined in series, the new spring constant and time period would be changed by a factor:

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Answer: (c)

Two equal springs in series: $k' = \frac{K_1 \cdot K_1}{2K_1} = \frac{K_1}{2}$ , factor $\frac{1}{2}$ .
$T \propto \frac{1}{\sqrt{k}}$ , so $\frac{T'}{T} = \sqrt{2}$ .
So the answer is (c) $\frac{1}{2},\ \sqrt{2}$ .

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