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QAIPM-2015-Ph-1260: NEET 2015 Physics - Class 11 AIPM-2015-Ph-1260 Solution: The positions vector of a particle \( {R}\) as a function of…

The positions vector of a particle R⃗\vec{R} as a function of time is given by R⃗=4sin⁡(2πt)i^+4cos⁡(2πt)j^\vec{R} = 4\sin(2\pi t)\hat{i} + 4\cos(2\pi t)\hat{j}. Where R is in meters t is in seconds and i^\hat{i} and j^\hat{j} denote unit vectors along x-and y-directions respectively. Which one of the following statements is wrong for the motion of particle? Magnitude of the velocity of particle is 8 meter/second. Path of the particle is a circle of radius 4 meter. Acceleration vector is along −R⃗-\vec{R}. Magnitude of acceleration vector is v2/Rv^2/R where v is the velocity of particle.

Multiple Choice Options

  • A Magnitude of the velocity of particle is 8 meter/second.
  • B Path of the particle is a circle of radius 4 meter.
  • C Acceleration vector is along −- _ R→\overrightarrow R R .
  • D Magnitude of acceleration vector is v2R{{{v^2}} \over R} R v 2 _ where v is the velocity of particle.

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