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Question

If effective length of a simple pendulum is equal to radius of earth (R), time period will be
  1. T=πRg
  2. T=2π2Rg
  3. T=2πRg
  4. T=2πR2g

A
T=2π2Rg
B
T=πRg
C
T=2πRg
D
T=2πR2g
Solution
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formula,

T=2πLRg(R+L)

If the effective length of a simple pendulum is equal to the radius of the earth (R),

then,

T=2πR×Rg(R+R)

=2πR2g(2R)

T=2πR2g

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