The positions vector of a particle \overrightarrow{R} as a function of time is given by \overrightarrow{R}=4 \sin (2 \pi {\t}) \stackrel{\^}{i}+4 \cos (2 \pi {\t}) \stackrel{\^}{j}. Where {\R} is in meters, {\t} is in seconds and \stackrel{\^}{i} and \stackrel{\^}{j} denote unit vectors along {\x}-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle? [NEET 2015]

Correct Answer is : Magnitude of the velocity of particle is 8 meter/second.

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 -\overrightarrow{R}.

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

NEET 2015 Physics and Chemistry Paper

Question : 3 of 91

Marks: +1, -0

The positions vector of a particle

→

as a function of time is given by

→

=4sin‌(2πt)

+4‌cos(2πt)‌

. Where R is in meters, t is in seconds and

and

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

[NEET 2015]

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