A spring of force constant \( k \) is cut into lengths of P ratio \...

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A spring of force constant \( k \) is cut into lengths of
P ratio \( 1: 2: 3 \). They are connected in series and the

W new force constant is \( k^{\prime} \). Then they are connected in parallel and force constant is \( k^{\prime \prime} \). Then \( k^{\prime}: k^{\prime \prime} \) is
(1) \( 1: 9 \)
(2) \( 1: 11 \)
(3) \( 1: 14 \)
(4) \( 1: 6 \)
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