Question

If T and n are the Time period and frequency of a simple pendulum,which of the following notations are correct?

• A. $n\times T=1$
• B. $\frac{n}{T}=1$
• C. $n^2\times T=1$
• D. $n\times T^2=1$

Answer 1

The correct option is A

$n\times T=1$

Explanation to Correct Option:

Option (A)

Frequency of oscillation of simple pendulum:

1. Number of oscillations made by a vibrating body in one second is called the frequency of oscillation.
2. Its CGS or SI unit is $s^{-1}orhertz\left(Hz\right)$.
3. Frequency is given by a formula,

$$\begin{gathered} Frequency\left(n\right)=\frac{1}{T} \\ where,T=timeperiodofoscillation. \\ n=frequencyofoscillations. \\ Therefore, \\ n\times T=1 \end{gathered}$$

Hence, option (A) is the correct answer.