Question

current attempt in progress
five simple pendulums are shown in the drawings. the lengths of the pendulums are drawn to scale, and the masses are either m or 2m,
as shown. which one has the smallest angular frequency of oscillation?
od
oc
oe
oa
ob

Explanation:

Step1: Recall the formula for angular frequency

The angular frequency $\omega$ of a simple pendulum is given by $\omega=\sqrt{\frac{g}{L}}$, where $g$ is the acceleration due to gravity and $L$ is the length of the pendulum. The mass of the pendulum bob does not affect the angular frequency.

Step2: Analyze the relationship between $\omega$ and $L$

Since $\omega\propto\frac{1}{\sqrt{L}}$ (because $\omega=\sqrt{\frac{g}{L}}$ and $g$ is constant), the pendulum with the largest length $L$ will have the smallest angular frequency.

Step3: Compare the lengths of the pendulums

By observing the scale - drawn pendulums (assuming we can visually compare lengths from the drawing), we find that pendulum B has the largest length among all the pendulums A, B, C, D, and E.

Answer:

B