A spring with spring constant \( k \) when stretched through \( 1 \mathrm{~cm} \), the potential...

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A spring with spring constant \( k \) when stretched through \( 1 \mathrm{~cm} \), the potential energy is \( U \). If it is stretched by \( 4 \mathrm{~cm} \). The potential energy will be [Odisha PMT 2004; CBSE PMT 2006]
(a) \( 4 U \)
(b) \( 8 U \)
(c) \( 16 U \)
(d) \( 2 U \)
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