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प्रश्न
Answer in brief.
State the law of simple pendulum.
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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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संबंधित प्रश्न
Define an ideal simple pendulum.
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A simple pendulum of length L has mass m and it oscillates freely with amplitude A. At the extreme position, its potential energy is (g = acceleration due to gravity)
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A simple pendulum has length 'L1'. When its amplitude is 'a' cm, its energy is 'E1'. When length is 2L1, its energy is 'E2' Amplitude is same for both the lengths The relation between E1 and E2 is ______.
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The maximum kinetic energy of a simple pendulum is 'K'. Its displacement in terms of amplitude 'a', when kinetic energy becomes `(K/2)` is ______.
Derive a formula for the length of second's pendulum.
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