A particle moves in the \( x-y \) plane under the action of a force \( \vec{F} \) such that the ...

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A particle moves in the \( x-y \) plane under the action of a force \( \vec{F} \) such that the value of its linear momentum \( (\vec{P}) \) at anytime \( t \) is \( P_{x}=2 \cos t, p_{y}=2 \sin t \). The angle \( \theta \) between \( \vec{F} \) and \( \vec{P} \) at a given time t. will be
[MNR 1991; UPSEAT 2000]
(a) \( \theta=0^{\circ} \)
(b) \( \theta=30^{\circ} \)
(c) \( \theta=90^{\circ} \)
(d) \( \theta=180^{\circ} \)
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