The time period of a simple pendulum is 0.2 s. What is its frequency of oscillation?

Options

A. 0.5 Hz
B. 5 Hz
C. 50 Hz
D. 1 Hz

Explanation

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

### Step-by-Step Solution:

1. **Understand the Relationship**: The frequency (f) and the time period (T) of a pendulum are related by the formula:
\[ f = \frac{1}{T} \]
where:
- \( f \) is the frequency in Hertz (Hz),
- \( T \) is the time period in seconds (s).

2. **Identify the Given Information**: From the question, we know that the time period \( T \) of the pendulum is 0.2 seconds.

3. **Substitute the Value into the Formula**: Plug the value of the time period into the formula to find the frequency:
\[ f = \frac{1}{0.2} \]

4. **Calculate the Frequency**: Perform the calculation:
\[ f = \frac{1}{0.2} = 5 \text{ Hz} \]

5. **State the Final Answer**: The frequency of oscillation of the simple pendulum is 5 Hertz.

### Final Answer:
The frequency of oscillation is **5 Hertz**.

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