Question

The frequency of a second's pendulum is

• A. $0.5\mathrm{Hz}$
• B. $1\mathrm{Hz}$
• C. $2\mathrm{Hz}$
• D. $5.5\mathrm{Hz}$

Answer 1

The correct option is A

$0.5\mathrm{Hz}$

The explanation for the correct answer:

Option (A): $0.5\mathrm{Hz}$

1. A second pendulum is a special type of pendulum in which the time taken for a swing in one direction is $1\mathrm{s}$.
2. So, the time taken to complete one oscillation in a second pendulum is $2\mathrm{s}$.
3. Since the time period $\left(T\right)$ is $2\mathrm{s}$. So, the frequency $\left(f\right)$ will be:

$$\begin{gathered} \mathrm{f}=\frac{1}{\mathrm{T}} \\ \Rightarrow \mathrm{f}=\frac{1}{2}=0.5\mathrm{Hz} \end{gathered}$$

Hence, Option (A) is correct. $0.5\mathrm{Hz}$.