The circular motion of a particle with constant speed is :

  1. periodic but not simple harmonic
  2. neither periodic nor simple harmonic
  3. periodic and simple harmonic
  4. simple harmonic but not periodic

Answer (Detailed Solution Below)

Option 1 : periodic but not simple harmonic
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Detailed Solution

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The correct answer is option 1) i.e. periodic but not simple harmonic.

CONCEPT:

  • Periodic motion is a type of motion where the motion is repeated in regular intervals of time. 
  • Simple harmonic motion is a type of periodic motion where the object oscillates (to and fro) about a fixed point.

EXPLANATION:

  • The circular motion of a particle with constant speed is uniform circular motion.
  • Due to constant speed, the object will cover equal distances in equal intervals of time. Hence, the circular motion will be repeated in equal intervals of time. So, it is a periodic motion.
  • In a circular motion, the object cannot oscillate about a fixed position as it travels circular distances. Thus, it is not a simple harmonic motion.

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