Two springs of spring constants 1500 N/m

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Two springs of spring constants $1500\, N/m$ and $3000\, N/m$ respectively are stretched with the same force. They will have potential energy in the ratio

A

$4:1$

B

$1:4$

C

$2:1$

D

$1:2$

Two springs of spring constants $1500\, N/m$ and $3000\, N/m$ respectively are stretched with the same force. They will have potential energy in the ratio

$U = \frac{{{F^2}}}{{2k}}$

==> $\frac{{{U_1}}}{{{U_2}}} = \frac{{{k_2}}}{{{k_1}}}$(if force are same) 

$\frac{{{U_1}}}{{{U_2}}} $$= \frac{{3000}}{{1500}} = \frac{2}{1}$