If a pendulum has a period of 4 seconds then its frequency will be

Options

A. 2.5 Hz
B. 0.25 Hz
C. 25 Hz
D. 0:025 Hz

Explanation

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

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Period (T)**: The time taken to complete one full cycle of motion. In this case, the period is given as 4 seconds.
- **Frequency (f)**: The number of cycles completed in one second. It is the reciprocal of the period.

2. **Use the Formula**:
- The relationship between frequency and period is given by the formula:
\[ f = \frac{1}{T} \]
- Here, \( f \) is the frequency and \( T \) is the period.

3. **Substitute the Given Value**:
- We know that the period \( T = 4 \) seconds. Substitute this value into the formula:
\[ f = \frac{1}{4} \]

4. **Calculate the Frequency**:
- Now, calculate the value:
\[ f = 0.25 \text{ Hz} \]

5. **State the Final Answer**:
- Therefore, the frequency of the pendulum is \( 0.25 \) Hz.

### Final Answer:
The frequency of the pendulum is **0.25 Hz**.

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