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What is simple pendulum? Derive an expre...

What is simple pendulum? Derive an expression for the time period and frequency of a simple pendulum of length I. What will be the effect on the time period of a simple pendulum if length of the pendulum becomes (a) greater than the radius of the Earth (b) becomes equal to the radius of the Earth?

Text Solution

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(a) If length of the pendulum becomes greater than the radius of earth then the time period is 84.6 min.
(b) 60 min.
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What is a simple pendulum? Find an expression for the time period and frequency of a simple pendulum.

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Knowledge Check

  • The time period of a simple pendulum of infinte length is

    A
    infinite
    B
    `2pisqrt(R//g)`
    C
    `2pi sqrt(g//R)`
    D
    `(1)/(2pi) sqrt(R//g)`
  • The time period of a simple pendulum at the centre of the earth is

    A
    zero
    B
    infinite
    C
    less than zero
    D
    two second
  • What is the effect on the time period of a simple pendulum if the mass off the bob is doubled?

    A
    Halved
    B
    Double
    C
    Becomes 8 times
    D
    No effects
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