If the velocities of three molecules are 2 m/s, 3 m/s, 4m/s respectively. Then the mean velocity will be

Options

A. 4.5 m/s
B. 3 m/s
C. 2 m/s
D. 5 m/s

Explanation

To find the mean velocity of the three molecules with given velocities of 2 m/s, 3 m/s, and 4 m/s, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the velocities of the molecules**:
- Let \( V_1 = 2 \, \text{m/s} \)
- Let \( V_2 = 3 \, \text{m/s} \)
- Let \( V_3 = 4 \, \text{m/s} \)

2. **Use the formula for mean velocity**:
The mean velocity (\( V_{mean} \)) can be calculated using the formula:
\[ V_{mean} = \frac{V_1 + V_2 + V_3}{n} \]
where \( n \) is the number of molecules.

3. **Calculate the total velocity**:
- Add the velocities together:
\[ V_1 + V_2 + V_3 = 2 + 3 + 4 = 9 \, \text{m/s} \]

4. **Determine the number of molecules**:
- Here, \( n = 3 \) (since there are three molecules).

5. **Calculate the mean velocity**:
- Substitute the total velocity and the number of molecules into the mean velocity formula:
\[ V_{mean} = \frac{9}{3} = 3 \, \text{m/s} \]

6. **Conclusion**:
- The mean velocity of the three molecules is \( 3 \, \text{m/s} \).

### Final Answer:
The mean velocity is \( 3 \, \text{m/s} \).

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