Question

Given that `T` stands for time and `l` 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

Correct 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.