The period of simple pendulum...

The period of simple pendulum

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The period of a simple pendulum at a given place is given by
`T=2pisqrt((L)/(g))`
where L is the length of the simple pendulum and g is the acceleration due to gravity at that place. From the above expression, the laws of simple pendulum are as follows :
(1) Law of length : The period of a simple pendulum at a given place (g constant) is directly proportional to the aquare root of its length.
(2) Law of acceleration due to gravity : The period of a simple pendulum of a given length (L constant) is inversely proportional to the aquare root of the acceleration due to gravity.
(3) Law of mass : The period of a simple pendulum does not depend on the mass or material of the bob of the pendulum.
(4) Law of isochronous oscillations or law of isochronism : The period of a simple pendulum does not depend on the amplitude of oscillations, if the amplitude is small.

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Time period of simple pendulum of length l at a place, where acceleration due to gravity is g and period T. Then period of simple pendulum of the same length at a place where the acceleration due to gravity 1.02 g will be

1.02 T

0.99 T

1.01 T

Time period of simple pendulum is

`T = 2pi sqrt(l/g)`

`T = 2pi sqrt(g/l)`

`T = sqrt(2 pi (l)/(g))`

`T = (1)/(2pi) sqrt(g/l)`

Time period of simple pendulum increase with

increase in value of g

increase in amplitude

decrease in value of g

decrease in amplitude