PASSAGE-II: The number of oscillations or vibrations made by a vibrating body in one second is known as the frequency of the wave. The S.I. unit of frequency is hertz (Hz) which is named after the name of scientist Heinrich Hertz.
Time taken to complete one vibration by the vibrating body is known as time period. Time period and frequency are related as
`"Time periode" = 1/("frequency")`
A vibrating body vibrates 200 times in 5 second, calculate its frequency?

Options

A. 30 Hz
B. 40 Hz
C. 500 Hz
D. 1000 Hz

Explanation

To calculate the frequency of a vibrating body that vibrates 200 times in 5 seconds, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Frequency**:
Frequency (f) is defined as the number of oscillations or vibrations made by a vibrating body in one second. The formula for frequency is:
\[ f = \frac{\text{Number of vibrations}}{\text{Time in seconds}} \]

2. **Identify the Given Values**:
From the question, we have:
- Number of vibrations = 200
- Time = 5 seconds

3. **Substitute the Values into the Frequency Formula**:
Using the formula for frequency, we can substitute the given values:
\[ f = \frac{200 \text{ vibrations}}{5 \text{ seconds}} \]

4. **Perform the Calculation**:
Now, we will divide 200 by 5:
\[ f = \frac{200}{5} = 40 \text{ Hz} \]

5. **Conclusion**:
The frequency of the vibrating body is 40 Hz.

### Final Answer:
The frequency of the vibrating body is **40 Hz**.

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