A spring of force constant \( 800 \mathrm{~N} / \mathrm{m} \) has an extension of \( 5 \mathrm{~...

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A spring of force constant \( 800 \mathrm{~N} / \mathrm{m} \) has an extension of \( 5 \mathrm{~cm} \). The work done in extending it from \( 5 \mathrm{~cm} \) to \( 15 \mathrm{~cm} \) is
[AIEEE 2002; Similar CPMT 1977]
(a) \( 16 \mathrm{~J} \)
(b) \( 8 \mathrm{~J} \)
(c) \( 32 \mathrm{~J} \)
(d) \( 24 \mathrm{~J} \)
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