What is the time period of a simple pendulum at centre of the earth ?
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The gravitational field g inside the earth is related to the distance from the centre (r) by
g α r
g = kr
Thus at the centre r = 0
=> g = 0
Time period of a simple pendulum is given by
T = 2π√(l/g)
=> T = 2π√(l/0)
=> T = ∞
So time period at the centre of the earth becomes infinite
Hope you understand
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