Question

Given that $T$ stands for time period and $I$ stands for the length of simple pendulum. If $g$ is the acceleration due to gravity, then which of the following statements about the relation $ {{T}^{2}}=l/g $ is correct?

• 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 1

Answer: (C)

The correct relation for time period of simple pendulum is
$ T=2\pi {{(l/g)}^{1/2}} $ .
So, the given relation is numerically incorrect as the factor of $ 2\pi $ is missing. But it is correct dimensionally.