If the work done in stretching a wire by \( 1 \mathrm{~mm} \) is \( 2 \mathrm{~J} \), the necess...

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If the work done in stretching a wire by \( 1 \mathrm{~mm} \) is \( 2 \mathrm{~J} \), the necessary work for stretching another wire of same material but with double radius of cross-section and half the length by \( 1 \mathrm{~mm} \) is
(a) \( 16 \mathrm{~J} \)
(b) \( 8 \mathrm{~J} \)
(c) \( 4 \mathrm{~J} \)
(d) \( (1 / 4) \mathrm{J} \)
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