Two particles in a medium are vibrating with a path difference of 10 m and corresponding time difference is 0.1 s. The speed of wave in the medium is

Options

A. 100 m/s
B. 300 m/s
C. 50 m/s
D. 200 m/s

Answer

To find the speed of the wave in the medium, we can use the relationship between speed, distance, and time. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify the given values**:
- Path difference (d) = 10 m
- Time difference (t) = 0.1 s

2. **Use the formula for speed**:
The speed of the wave (v) can be calculated using the formula:
\[ v = \frac{\text{distance}}{\text{time}} \]
In this case, the distance is the path difference and the time is the time difference.

3. **Substitute the values into the formula**:
\[ v = \frac{10 \, \text{m}}{0.1 \, \text{s}} \]

4. **Perform the calculation**:
\[ v = 10 \, \text{m} \div 0.1 \, \text{s} = 100 \, \text{m/s} \]

5. **State the final answer**:
The speed of the wave in the medium is:
\[ v = 100 \, \text{m/s} \]

### Final Answer:
The speed of the wave in the medium is **100 m/s**.