A particle moves in the x-y plane under the action of a force \[\overrightarrow{F}\] such that the value of its linear momentum \[(\overrightarrow{P})\] at anytime t is \[{{P}_{x}}=2\cos t,\,{{p}_{y}}=2\sin t.\]The angle \[\theta \]between \[\overrightarrow{F}\] and \[\overrightarrow{P}\] at a given time t. will be [MNR 1991; UPSEAT 2000]

• A.                 \[\theta =0{}^\circ \]
• B.                             \[\theta =30{}^\circ \]
• C.                 \[\theta =90{}^\circ \]
• D.                             \[\theta =180{}^\circ \]