To decrease the period of the pendulum, B) Make the pendulum slightly shorter. --> TRUE
Explanation:
The period of a simple pendulum is given by the equation:
[tex]T=2\pi \sqrt{\frac{L}{g}}[/tex]
where
L is the length of the pendulum
g is the acceleration of gravity
We notice that the period of a pendulum does not depend on the mass hanging on the pendulum, but only on its length. We also notice that:
- The period is proportional to the square root of the length of the pendulum, [tex]T\propto \sqrt{L}[/tex]
- The period is inversely proportional to the square root of the acceleration of gravity, [tex]T \propto \frac{1}{\sqrt{g}}[/tex]
Here we want to decrease the period of the pendulum, from 2.0 s to 1.9 s. Now we can analyze the four options:
A) Remove some mass from the pendulum. --> FALSE. The period does not depend on the mass.
B) Make the pendulum slightly shorter. --> TRUE. Decreasing the length, L, will also decrease the period.
C) Add more mass to the pendulum. --> FALSE. The period does not depend on the mass.
D) Make the pendulum slightly longer. --> FALSE. Increasing the length, L, will also increase the period.
#LearnwithBrainly
