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. 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 proportional to the suspended mass. The period is inversely proportional to the length of the wire. The period is independent of the length of the wire. The period is independent of the suspended mass.

Answer 1

• The time period is independent of the mass.

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

Step-by-step explanation:

The time period of the simple pendulum that consists of a point mass suspended by a weightless, rigid wire in a uniform gravitation field is given by :

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

l is length of simple pendulum

g is acceleration due to gravity.

It is clear that, the time period is independent of the mass. Also, the period is proportional to the square root of the length of the wire.

Hence, the correct options are (B) and (F).