MCQ
Q.
If the frequency of a simple pendulum is 2 Hz, how many oscillations will it complete in 16 seconds?
Correct Answer: C
Concept:
Simple Pendulum:
- A simple pendulum consists of a small metallic ball or a piece of stone suspended from a rigid stand by a thread.
The metallic ball is called Bob. - A pendulum swings from one extreme position to another and comes back to the same position, this completes one oscillation.
- One oscillation can also be defined as the pendulum starting from the mean position, going to one extreme, and coming back to the same mean position.
- The time duration to compete for one oscillation is called time period and the is reciprocal of time period is frequency.
- Frequency: The number of oscillations per unit time is called frequency.
\(frequncy =\frac{Oscillation}{Time}\)
Calculation:
Given that : Frequency = 2 hz and time = 16 sec.
In a sec pendulum completes 2 oscillations per second.
⇒ Oscillations = Frequency × time
⇒ Oscillations = 2×16
⇒ Oscillations = 32
Additional Information
The time period of a simple pendulum depends upon on the length of the string and acceleration due to gravity.
\(T = 2 \pi \sqrt{\frac{l}{g}}\)
l is length, g is acceleration due to gravity.
