Chapter 14, Problem 7STP

To determine

To Choose: The correct option.

Answer to Problem 7STP

Option C

Explanation of Solution

Formula Used:

The equation used to calculate the correct rearrangement of length of pendulum formula is given below:

  $T=2\pi \sqrt{\frac{l}{g}}$

Where,

  $T$ : Time period

  $g$ : Acceleration due to gravity

  $l$ : Length of pendulum.

Calculation:

The rearrangement formula for the period of a pendulum and length of the pendulum is given below:

  $\begin{array}{l}T=2\pi \sqrt{\frac{l}{g}}\\ T^2=4{\pi }^2\frac{l}{g}\\ l=\frac{T^{2}g}{{\left(2\pi \right)}^2}\end{array}$

Conclusion:

Thus, the option C is correct.