Question

The length of a simple pendulum is $\frac{39.2}{{\pi }^2}\text{m}$. If $g=9.8{\text{m/s}}^2$, the time period of pendulum is

• A. $2\text{s}$
• B. $8\text{s}$
• C. $4\text{s}$
• D. $3\text{s}$

Answer 1

The correct option is C $4\text{s}$

Given,
Length of simple pendulum $\left(l\right)=\frac{39.2}{{\pi }^2}\text{m}$
acceleration due to gravity $\left(g\right)=9.8{\text{m/s}}^2$
Time period $\left(T\right)=2\pi \sqrt{\frac{l}{g}}$
$=2\pi \sqrt{\frac{39.2}{9.8\times {\pi }^2}}$
$=4\text{s}$