What happens to a simple pendulum's frequency if both its length and mass are increased?
A) It increases.
B) It decreases.
C) It remains constant.
D) It could remain constant, increase, or decrease; it depends on the mass to length ratio (mass density).

Question

Quizplus · Accepted Answer

The frequency of a simple pendulum is determined by the formula $f = \frac{1}{2\pi} \sqrt{\frac{g}{L}}$, where $f$ is the frequency, $g$ is the acceleration due to gravity, and $L$ is the length of the pendulum. The mass of the pendulum does not affect its frequency, so increasing the mass has no effect on the frequency. However, increasing the length $L$ of the pendulum decreases its frequency, as $f$ is inversely proportional to the square root of $L$.

What Happens to a Simple Pendulum's Frequency If Both Its