A particle moves under the effect of a force \( F=C x \) from \( x=0 \) to \( x=x_{1} \). The wo...

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A particle moves under the effect of a force \( F=C x \) from \( x=0 \) to \( x=x_{1} \). The work done in the process is [CPMT 1982; DCE 2002; Odisha JEE 2005; Similar Kerala PMT 2006]
(a) \( \quad C x_{1}^{2} \)
(b) \( \frac{1}{2} C x_{1}^{2} \)
(c) \( C x_{1} \)
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