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NEETPhysicsMotion in Two Dimensions

Several particles are executing uniform circular motion. If all of them have the same time period of revolution, which of the following graphs correctly represents the variation of their linear speed ( v ) with the radius ( r ) of their circular paths?

Options

  1. AA straight line passing through the origin
  2. BA straight line parallel to the radius axis
  3. CA rectangular hyperbola
  4. DA parabola passing through the origin

Correct answer

A. A straight line passing through the origin

Step-by-step solution

The linear speed v of a particle in uniform circular motion is related to its time period T and radius r by the formula: v = 2 r T Since the time period T is constant for all particles, the term 2 T is a constant. Therefore, v r . The graph of a directly proportional relationship is a straight line passing through the origin. Answer: A straight line passing through the origin

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