Chapter 14, Problem 5STP

To determine

To Choose: The correct option.

Answer to Problem 5STP

Option A

Explanation of Solution

Given:

Period: $4.89s$

Formula Used:

The expression to find the length of pendulum is,

  $T=2\pi \sqrt{\left(L/g\right)}$

Where,

  $T$ : Time period

  $L$ : Length

  $g$ : Acceleration due to gravity

Calculation:

Use the following equation to find the length of pendulum

  $T=2\pi \sqrt{\left(L/g\right)}$

  $\begin{array}{l}4.89=2\pi \sqrt{\left(L/9.8\right)}\\ L={0.7786}^2\times 9.8\\ L=5.94\end{array}$

Conclusion:

Thus, the option A is correct.