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Question

The path of a particle moving under the influence of a force fixed in magnitude and direction is


A

Straight line

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B

Circle

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C

Parabola

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D

Ellipse

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Solution

The correct option is A

Straight line


The explanation for the correct option:

In the case of option A,

  1. The path traced by a moving particle is called a trajectory.
  2. Since the force's direction doesn't change so the particle's velocity stays constant.
  3. So there is no acceleration.
  4. Thus, the path of a particle moving under the influence of a force fixed in magnitude and direction will be a straight line

The explanation for the incorrect option:

In the case of option B,

  1. For a particle to move in a circular path it is required to have a change in the direction of the position vector.
  2. Here the direction is not changing.
  3. Thus it can not be in a circular motion.

In the case of option C,

  1. For a particle to be in parabolic motion it is needed that the particle or body is projected at an angle.
  2. For instance, a rocket launch follows a projectile path.

In the case of option D,

  1. Elliptical motion is carried out by a particle having angular acceleration.
  2. For instance, our planets follow the elliptical path.

Hence option A is the correct answer.


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