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Answer in brief. State the law of simple pendulum.

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प्रश्न

Answer in brief.

State the law of simple pendulum.

संक्षेप में उत्तर
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उत्तर

At a given place, the period of a simple pendulum is

T = 2π `sqrt("L"/"g")`

where,
L - length of the simple pendulum,
g - is the acceleration due to gravity at that place.

From the above expression, the laws of a simple pendulum are as follows:

  • Law of length: The period of a simple pendulum at a given place (g constant) is directly proportional to the square root of its length.
  • Law of acceleration due to gravity: The period of a simple pendulum of a given length (L constant) is inversely proportional to the square root of the acceleration due to gravity.
  • Law of mass: The period of a simple pendulum does not depend on the mass.
  • Law of isochronism: The period of a simple pendulum does not depend on its amplitude (for small amplitude).
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अध्याय 5: Oscillations - Exercises [पृष्ठ १२९]

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