The potential energy \( \phi \) in joule of a particle of mass \( 1 \mathrm{~kg} \) moving in \(...

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The potential energy \( \phi \) in joule of a particle of mass \( 1 \mathrm{~kg} \) moving in \( x-y \) plane obeys the law, \( \phi=3 x+4 y \). Here, \( x \) and \( y \) are in metres. If the particle is at rest at \( (6 \mathrm{~m}, 8 \mathrm{~m}) \) at time 0 , then the work done by conservative force on the particle from the initial position to the instant when it crosses the \( x \)-axis is
(a) \( 25 \mathrm{~J} \)
(b) \( -25 \mathrm{~J} \)
(c) \( 50 \mathrm{~J} \)
(d) \( -50 \mathrm{~J} \)
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