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For all practical purposes, the motion of a simple pendulum is SHM,
  • a)
    None of these
  • b)
    Only if the length of its string is at least one meter
  • c)
    Only if the maximum angle which its string makes with the vertical is less than 342.
  • d)
    Only if the maximum angle which the string makes with the vertical is less than I
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For all practical purposes, the motion of a simple pendulum is SHM,a)N...
The motion of Simple Pendulum as Simple Harmonic Motion. When we pull a simple pendulum from its equilibrium position and then release it, it swings in a vertical plane under the influence of gravity. It begins to oscillate about its mean position. Therefore, the motion is periodic and oscillatory.
SO OPTION A IS CORRECT.
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Most Upvoted Answer
For all practical purposes, the motion of a simple pendulum is SHM,a)N...
The correct answer is option 'A' - None of these.

Explanation:
- The motion of a simple pendulum is not dependent on the length of its string or the maximum angle it makes with the vertical.
- A simple pendulum consists of a mass (bob) attached to a string or rod of fixed length, which is suspended from a fixed point.
- The motion of a simple pendulum is governed by the restoring force provided by gravity.
- When the pendulum is displaced from its equilibrium position, it experiences a restoring force that tries to bring it back to the equilibrium position.
- This restoring force is directly proportional to the displacement, and opposite in direction.
- The motion of a simple pendulum follows a sinusoidal pattern, known as Simple Harmonic Motion (SHM).

Factors affecting the motion of a simple pendulum:
1. Length of the string: The time period of a simple pendulum, i.e., the time taken to complete one full oscillation, is directly proportional to the square root of the length of the string. However, the motion of the pendulum is still SHM regardless of the length of the string.

2. Maximum angle with the vertical: The maximum angle that the string makes with the vertical does not affect the nature of the motion. The motion of the pendulum is still SHM, even if the maximum angle exceeds 342 or any other value.

Conclusion:
- The motion of a simple pendulum is SHM for all practical purposes, regardless of the length of its string or the maximum angle it makes with the vertical.
- Therefore, the correct answer is option 'A' - None of these.
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