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Q.

The Time period of oscillation of a simple pendulum whose length is very large (>> Radius of earth R) is T. What will be the time period of a simple pendulum whose length is equal to the radius of earth(R) ?

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a

T22

b

T2

c

2T

d

T2

answer is D.

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Detailed Solution

For a pendulum whose length( l) is comparable to the radius of earth(R), time period is given byT = 2πg1l+1R If  l >>R,T = 2πRg If  l=R,T' = 2πR2g ∴T'T = 12     ⇒ T' = T2
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