A pendulum oscillates 20 times in 4 seconds. Find its time period.0.05 sec0.001 sec0.2 sec0.1 sec

1. ### Break Down the Problem

To find the time period of the pendulum, we need to understand the relationship between oscillations, time, and time period. The time period (T) is the time taken for one complete oscillation.

2. ### Relevant Concepts

The time period (T) can be calculated using the formula: $T = \frac{t}{n}$ where:

• $t$ = total time for $n$ oscillations
• $n$ = number of oscillations

3. ### Analysis and Detail

In the given problem:

• $t = 4$ seconds (total time)
• $n = 20$ (number of oscillations)

Now, substituting the values into the formula: $T = \frac{4 \text{ seconds}}{20} = 0.2 \text{ seconds}$

4. ### Verify and Summarize

The calculation shows the time period for one oscillation of the pendulum is $0.2$ seconds. Thus, the calculation is verified, and the steps followed confirm that we utilized the correct approach.

Final Answer

The time period of the pendulum is $0.2$ seconds.