Question

Given that T stands for time period 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 $T^2=\left(l/g\right)$ 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

The correct option is C It is dimensionally correct but not numerically.

We know that time period of a simple pendulum is given by $T=\sqrt[2\Pi ]{2\Pi \frac{l}{g}}$

$\Rightarrow$ The reaction. $T^2=\frac{l}{g}$ is dimensionally correct. but numerically incorrect.