Question

A simple pendulum consists of a point mass suspended by a weightless, rigid wire in a uniform gravitation field. Which of the following statements are true when the system undergoes small oscillations?Check all that apply.The period is inversely proportional to the suspended mass.The period is proportional to the square root of the length of the wire.The period is independent of the suspended mass.The period is proportional to the suspended mass.The period is independent of the length of the wire.The period is inversely proportional to the length of the wire.

Answer 1

The period is proportional to the square root of the length of the wire.

The period is independent of the suspended mass.

Step-by-step explanation:

The period of a simple pendulum, in the small angle oscillation approximation, is given by

`T=2\pi \sqrt{(L)/(g)}`

where

L is the length of the pendulum

g is the acceleration due to gravity

From the formula, we notice the following facts:

- The period is proportional to the square root of the length of the wire, L

- The period is independent of the suspended mass, m

So, these are the two correct statements.