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Q.

Statement A: The time period of a simple pendulum of infinite length is infinite.Statement B: The time period of a simple pendulum is directly proportional to the square root of length.

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a

If both statement A and statement B are true and statement B is the correct explanation of statement I.

b

If both statement A is false. Statement B is true.

c

If statement A is true but statement B is false

d

If both statement A and statement IB are false

answer is B.

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Detailed Solution

If length of the pendulum is large, g no longer remains vertical but will be directed towards the centre of the earth and expression of the time period is given byT = 2π1g(1l+1R)Here, R is the radius of earth.if    l →  ∞, 1l→0and T = 2πRg = 84.6 minIn general, time period of a simple pendulum T = 2πlgor T ∝ l
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Statement A: The time period of a simple pendulum of infinite length is infinite.Statement B: The time period of a simple pendulum is directly proportional to the square root of length.