An object is vibrating at 50 hertz. What is its time period?

Options

A. `0.02`s
B. `0.2`s
C. 2s
D. `20.0`s

Answer

To find the time period of an object vibrating at a frequency of 50 Hz, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Frequency and Time Period**:
- The frequency (f) of an object is defined as the number of vibrations or cycles it completes in one second. It is measured in hertz (Hz).
- The time period (T) is the time taken to complete one full vibration or cycle. It is measured in seconds.

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

3. **Substitute the Given Frequency**:
- In this case, the frequency \( f \) is given as 50 Hz.
- Substitute this value into the formula:
\[ T = \frac{1}{50} \]

4. **Calculate the Time Period**:
- Now, perform the calculation:
\[ T = \frac{1}{50} = 0.02 \text{ seconds} \]

5. **Final Answer**:
- Therefore, the time period of the object vibrating at 50 Hz is **0.02 seconds**.