The time period of a vibrating body is 0.04s. then the frequency of the wave is_________

Options

A. 25Hz
B. 20HZ
C. 250Hz
D. 200Hz

Answer

To find the frequency of a vibrating body given its time period, we can use the relationship between frequency (f) and time period (T). The formula is:

\[ f = \frac{1}{T} \]

Where:
- \( f \) is the frequency in Hertz (Hz)
- \( T \) is the time period in seconds (s)

### Step-by-step Solution:

1. **Identify the given time period**:
The time period \( T \) is given as 0.04 seconds.

2. **Use the formula to find frequency**:
Substitute the value of \( T \) into the formula:
\[ f = \frac{1}{0.04} \]

3. **Calculate the frequency**:
To perform the calculation:
\[ f = \frac{1}{0.04} = 25 \text{ Hz} \]

4. **Conclusion**:
The frequency of the wave is 25 Hz.

### Final Answer:
The frequency of the wave is **25 Hz**.

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