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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.
Obtain the expression for the period of a simple pendulum performing S.H.M.
A simple pendulum performs S.H.M. of period 4 seconds. How much time after crossing the mean position, will the displacement of the bob be one-third of its amplitude.
In a second’s pendulum, the mass of Bob is 50 g. If it is replaced by 100 g mass, then its period will be ______.
What is a second pendulum?
Obtain an expression for a time period of the simple pendulum.
A simple pendulum of length I has a bob of mass m. It executes SHM of small amplitude A. The maximum tension in the string is (g = acceleration due to gravity)
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A simple pendulum has a time period T1 when on the earth's surface and T2 when taken to a height R above the earth's surface, where R is the radius of the earth. The value of T2 / T1 is ______.
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Two simple pendulums A and B are made to oscillate simultaneously and it is found that A completes 10 oscillations in 20 sec and B completes 8 oscillations in 10 sec. The ratio of the lengths of A and B is ____________.
A pendulum performs S.H.M. with period `sqrt3` second in a stationary lift. If lift moves up with acceleration `"g"/3`, the period of pendulum is ______. (g = acceleration due to gravity)
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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 ______.
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The ratio of frequencies of two oscillating pendulums is 3 : 2. Their lengths are in the ratio.
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Which formula correctly gives the acceleration due to gravity using a simple pendulum, where L is the length and T is the time period?
At the highest point of its swing, a simple pendulum has maximum potential energy and minimum kinetic energy. What is the total mechanical energy of the pendulum at any point during its motion?
A student measures time for 20 oscillations of a simple pendulum as 30 s, 32 s, 35 s and 35 s. If the minimum division in the measuring clock is 1 s, then correct mean time (in second) is ______.
