Question:

A particle revolves round a circular path. The acceleration of the particle is inversely proportional to

Updated On: Jul 5, 2022
  • mass of particle
  • radius
  • velocity
  • both (a) and (b)
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The Correct Option is B

Solution and Explanation

The centripetal acceleration $(a)=\frac{m v^{2}}{r} \propto \frac{1}{r}$. Therefore acceleration of the particle is inverely proportional to radius.
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration