A uniform spring of force constant $k$ is cut into two pieces, the lengths of which are in the ratio $1 : 2$. The ratio of the force constants of the shorter and the longer pieces is
A$1:3$
B$1:2$
C$2:3$
D$2:1$
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D$2:1$
d (d) Force constant $(k)\, \propto \frac{1}{{{\rm{Length\, of\, the \,string \,(}}l{\rm{)}}}}$
==> $\frac{{{k_1}}}{{{k_2}}} = \frac{{{l_2}}}{{{l_1}}} = \frac{2}{1}$
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