Two wires \( A \) and \( B \) are of same materials. Their lengths are in the ratio \( 1: 2 \) a...

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Two wires \( A \) and \( B \) are of same materials. Their lengths are in the ratio \( 1: 2 \) and diameters are in the ratio \( 2: 1 \). When stretched by force \( F_{A} \) and \( F_{B} \) respectively they get equal increase in their lengths. Then the ratio \( F_{A} / F_{B} \) should be
[Odisha JEE 2002; Similar Haryana CEE 1996]
(a) \( 1: 2 \)
(b) \( 1: 1 \)
(c) \( 2: 1 \)
(d) \( 8: 1 \)
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