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 boy heard a sound of frequency 100 Hz at a distance of 500 m from the source of sound. What is the time period of oscillating particles of the medium?

Options

A. 0.1 s.
B. 0.01 s
C. 0.2 s
D. 0.02 s

Explanation

To solve the problem, we need to find the time period of the oscillating particles of the medium given the frequency of the sound wave. The relationship between time period (T) and frequency (f) is given by the formula:

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

### Step-by-step Solution:

1. **Identify the given frequency**:
The frequency of the sound wave is given as 100 Hz.

2. **Use the formula for time period**:
We will use the formula \( T = \frac{1}{f} \) to find the time period.

3. **Substitute the frequency into the formula**:
Substitute \( f = 100 \, \text{Hz} \) into the formula:
\[ T = \frac{1}{100 \, \text{Hz}} \]

4. **Calculate the time period**:
Performing the calculation:
\[ T = 0.01 \, \text{seconds} \]

5. **Conclusion**:
The time period of the oscillating particles of the medium is 0.01 seconds.

### Final Answer:
The time period of oscillating particles of the medium is **0.01 seconds**.

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