The periodic time of a vibrating body is 0.01 sec. Its frequency will be

Options

A. 1.0 c/s
B. 10.0 c/s
C. 100.0 c/s
D. 1000.0 c/s

Explanation

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

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

Where:
- \( f \) is the frequency in hertz (Hz),
- \( T \) is the periodic time in seconds.

### Step-by-Step Solution:

1. **Identify the given data**:
- The periodic time \( T \) is given as 0.01 seconds.

2. **Use the formula to find frequency**:
- Substitute the value of \( T \) into the formula:
\[ f = \frac{1}{T} = \frac{1}{0.01} \]

3. **Calculate the frequency**:
- Performing the calculation:
\[ f = \frac{1}{0.01} = 100 \]

4. **State the unit of frequency**:
- The unit of frequency is cycles per second, which is also known as hertz (Hz). Therefore, we can express the frequency as:
\[ f = 100 \text{ cycles per second} \text{ or } 100 \text{ Hz} \]

5. **Conclusion**:
- The frequency of the vibrating body is 100 cycles per second.

### Final Answer:
The frequency of the vibrating body is 100 cycles per second.

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