A) \[k\]
B) \[\frac{k}{2}\]
C) \[2k\]
D) \[4k\]
Correct Answer: C
Solution :
From force law \[F=-kx\] ?(i) where k is force constant or spring constant of spring and \[x\] is the extension or compression in spring. \[\Rightarrow \] \[k=\frac{F}{x}\] or \[k\propto \frac{1}{x}\] or \[\frac{{{k}_{1}}}{{{k}_{2}}}=\frac{{{x}_{2}}}{{{x}_{1}}}\] ?(ii) If spring is divided in two parts, then \[{{x}_{1}}=x,{{x}_{2}}=\frac{x}{2},{{k}_{1}}=k\] \[\therefore \] \[\frac{k}{{{k}_{2}}}=\frac{x/2}{x}\] or \[{{k}_{2}}=2k\] Hence, spring constant will be doubled.
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