b
When force is same

\(W = \frac{1}{2}\,k{x^2}\)

\(W = \frac{1}{2}k\frac{{{F^2}}}{{{k^2}}}\,\left[ {\because F = kx} \right]\)

\(\because \) W =\(\frac{{{F^2}}}{{2x}}\)

As \({W_1} > {W_2}\)

\(\therefore {k_1} < {k_2}\)

When extension is same

W \( \propto \) k (\(\because \) \(x\) is same )

\(\therefore \)\({W_1} < {W_2}\)

statement \(1\) is false and statement \(2\) is teue.