Home
Class 11
PHYSICS
Assertion: Every periodic motion is not ...

Assertion: Every periodic motion is not simple harmonic motion.
Reason: The motion governed by the force law F=-kx is simple harmonic.

A

If both assertion and reson are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "Every periodic motion is not simple harmonic motion." - **Periodic Motion**: This is defined as motion that repeats itself after a fixed interval of time. Examples include the motion of a pendulum, the rotation of a wheel, or the oscillation of a spring. - **Simple Harmonic Motion (SHM)**: This is a specific type of periodic motion where the restoring force is directly proportional to the displacement from the mean position and acts in the opposite direction. The mathematical representation of this restoring force is given by \( F = -kx \), where \( k \) is a constant and \( x \) is the displacement. ### Step 2: Analyze the Assertion The assertion is true because not all periodic motions are simple harmonic. For example, the motion of a clock's hands is periodic but not simple harmonic. ### Step 3: Understand the Reason The reason states: "The motion governed by the force law \( F = -kx \) is simple harmonic." - This statement is also true because it describes the condition under which an object exhibits simple harmonic motion. ### Step 4: Determine the Relationship Between Assertion and Reason Now we need to see if the reason correctly explains the assertion. The assertion is about the nature of periodic motion, while the reason describes a specific case of simple harmonic motion. ### Conclusion Both the assertion and the reason are true, but the reason does not serve as a correct explanation for the assertion. The assertion is a broader statement about periodic motion, while the reason is a specific case of simple harmonic motion. ### Final Answer Based on the analysis, the correct option is: - **Option 2**: Both assertion and reason are true, but reason is not the correct explanation of assertion.

To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "Every periodic motion is not simple harmonic motion." - **Periodic Motion**: This is defined as motion that repeats itself after a fixed interval of time. Examples include the motion of a pendulum, the rotation of a wheel, or the oscillation of a spring. - **Simple Harmonic Motion (SHM)**: This is a specific type of periodic motion where the restoring force is directly proportional to the displacement from the mean position and acts in the opposite direction. The mathematical representation of this restoring force is given by \( F = -kx \), where \( k \) is a constant and \( x \) is the displacement. ### Step 2: Analyze the Assertion ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NCERT FINGERTIPS ENGLISH|Exercise Periodic And Oscillatory Motions|7 Videos
  • OSCILLATIONS

    NCERT FINGERTIPS ENGLISH|Exercise Simple Harmonic Motion|17 Videos
  • OSCILLATIONS

    NCERT FINGERTIPS ENGLISH|Exercise Exemplar Problems|9 Videos
  • MOTION IN A STRAIGHT LINE

    NCERT FINGERTIPS ENGLISH|Exercise NCERT Exemplar|6 Videos
  • PHYSICAL WORLD

    NCERT FINGERTIPS ENGLISH|Exercise Assertion And Reason|10 Videos

Similar Questions

Explore conceptually related problems

In simple harmonic motion

In a simple harmonic motion

Simple harmonic motion is

Define simple harmonic motion ?

The equation of motion of a simple harmonic motion is

The equation of motion of a simple harmonic motion is not

The oscillatory motion is simple harmonic motion since

Which of the following motions is not simple harmonic?

In simple harmonic motion, at the extreme positions

Which of the following motions is not simple harmonic?