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What is the length of a simple pendulum ...

What is the length of a simple pendulum which ticks second?

Text Solution

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A simple pendulum which ticks seconds is a second pendulum. Its time period `T=2s.` If l is the length of this pendulum, then
`T=2pisqrt(l)/(g)`
or `l=(gT^(2))/(4pi^(2))=(9.8xx2^(2))/(4xx(22//7)^(2))=0.99m`
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Knowledge Check

  • The length of a second pendulum is

    A
    99.8 cm
    B
    99 cm
    C
    100 cm
    D
    None of these
  • At a particular place, a simple pendulum of length 1m, makes 400 oscillations in 13 minute. What is the length of a second's pendulum at this place ?

    A
    98 cm
    B
    100 cm
    C
    102 cm
    D
    105 cm
  • If the length of a simple pendulum is halved, then its energy becomes

    A
    double
    B
    half
    C
    4 times of the initial
    D
    3 times of the initial
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