If the time taken by a simple pendulum to com-plete 16 oscillations is 4 seconds,
what is the time period of the simple pendulum ?

Options

A. 4 s
B. 64 s
C. 0.4 s
D. 0.25 s

Answer

To find the time period of a simple pendulum, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that a simple pendulum completes 16 oscillations in 4 seconds. We need to find the time period (T) of one oscillation.

2. **Use the Definition of Time Period**: The time period (T) is defined as the time taken to complete one full oscillation.

3. **Calculate the Time Taken for One Oscillation**:
- If 16 oscillations take 4 seconds, we can find the time for one oscillation using the unitary method.
- Time for 1 oscillation = Total time for 16 oscillations / Number of oscillations
- Time for 1 oscillation = 4 seconds / 16 oscillations

4. **Perform the Calculation**:
- Time for 1 oscillation = 4 / 16 = 0.25 seconds

5. **Conclusion**: Therefore, the time period (T) of the simple pendulum is 0.25 seconds.

### Final Answer:
The time period of the simple pendulum is **0.25 seconds**.

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