The length of an elastic string is a metre when the longitudinal tension is \( 4 N \) and \( b \...

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The length of an elastic string is a metre when the longitudinal tension is \( 4 N \) and \( b \) metre when the longitudinal tension is \( 5 \mathrm{~N} \). The length of the string in metre when the longitudinal tension is \( 9 N \) is
[EAMCET 2001; Similar Kerala PET 2007]
(a) \( a-b \)
(b) \( 5 b-4 a \)
(c) \( 2 b-\frac{1}{4} a \)
(d) \( 4 a-3 b \)
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