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 formula for speed, which is defined as the distance traveled divided by the time taken.

### Step-by-step Solution:

1. **Identify the given values**:
- Path difference (distance) = \( \Delta x = 10 \, \text{m} \)
- Time difference = \( \Delta t = 0.1 \, \text{s} \)

2. **Use the formula for speed**:
The speed \( v \) of the wave can be calculated using the formula:
\[ v = \frac{\text{Distance}}{\text{Time}} \]

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

4. **Calculate the speed**:
\[ v = 100 \, \text{m/s} \]

Thus, the speed of the wave in the medium is **100 m/s**.