The position vector of a particle $\overrightarrow R $ as a function of time is given by: $\mathop R\limits^ - \, = \,4\,\sin \left( {2\pi t} \right){\rm{\hat I}}\, + \,4\,\cos \,\left( {2\pi t} \right){\rm{\hat J}}$ Where R is in meters, t is in seconds and ${\rm{\hat I}}$ and ${\rm{\hat J}}$ denote unit vectors along x- and y-directions, respectively. Which One of the following statements is wrong for the motion of particle?

Patch of the particle is a circle of radius 4 meter

Acceleration vector is along $ - \mathop R\limits^ - $

Magnitude of acceleration vector is $\frac{{{v^2}}}{R},$ where v is the velocity of particle

NEET UG PHYSICS MCQ: OSCILLATIONS

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The position vector of a particle

\overrightarrow R

as a function of time is given by:

\mathop R\limits^ - \, = \,4\,\sin \left( {2\pi t} \right)\mathrm{\hat I}\, + \,4\,\cos \,\left( {2\pi t} \right)\mathrm{\hat J}

Where R is in meters, t is in seconds and

\mathrm{\hat I}

and

\mathrm{\hat J}

denote unit vectors along x- and y-directions, respectively. Which
One of the following statements is wrong for the motion of particle?

View answer and explanation

Correct option: D

Magnitude of the velocity of particle is 8 meter/second

Option D (Magnitude of the velocity of particle is 8 meter/second) is wrong because the magnitude of the velocity is calculated as

8\pi

m/s, not 8 m/s.