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Q.

Given that T stands for time period and l stands for the length of simple pendulum. If S is the acceleration due to gravrty, then which of the following statements about the relation T2=(l/g) is correct?

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a

It is correct both dimensionally as well as numerically.

b

It is neither dimensionally correct nor numerically.

c

It is dimensionally correct but not numerically.

d

It is numerically correct but not dimensionally.

answer is C.

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Detailed Solution

The correct relation for time period of simple pendulum is T=2π(l/g)1/2. So the given relation is numerically incorrect as the factor of 2π is missing. But it is correct dimensionally.
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