Answer:
The new period of oscillation is D) 3.0 T
Explanation:
Simple Pendulum
A simple pendulum is a mechanical arrangement that describes periodic motion. The simple pendulum is made of a small bob of mass 'm' suspended by a thin inextensible string.
The period of a simple pendulum is given by
[tex]T=2\pi \sqrt{\frac{L}{g}}[/tex]
Where L is its length and g is the local acceleration of gravity.
If the length of the pendulum was increased to 9 times (L'=9L), the new period of oscillation will be:
[tex]T'=2\pi \sqrt{\frac{L'}{g}}[/tex]
[tex]T'=2\pi \sqrt{\frac{9L}{g}}[/tex]
Taking out the square root of 9 (3):
[tex]T'=3*2\pi \sqrt{\frac{L}{g}}[/tex]
Substituting the original T:
[tex]T'=3*T[/tex]
The new period of oscillation is D) 3.0 T
