From the molecular theory of gases, the velocity of molecules at absolute zero at temperature will be

Options

A. infinite
B. zero
C. positive but negligible
D. none of these

Explanation

To solve the question regarding the velocity of molecules at absolute zero temperature using the molecular theory of gases, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Absolute Zero**:
Absolute zero is defined as 0 Kelvin (0 K), which is the lowest possible temperature where molecular motion theoretically comes to a complete stop.

2. **Molecular Velocities**:
In the molecular theory of gases, there are three types of velocities associated with gas molecules:
- Average velocity (V_avg)
- Most probable speed (V_mp)
- Root mean square speed (V_rms)

3. **Relationship with Temperature**:
All three types of velocities are directly proportional to the square root of the absolute temperature (T):
\[ V_{avg} \propto \sqrt{T}, \quad V_{mp} \propto \sqrt{T}, \quad V_{rms} \propto \sqrt{T} \]

4. **Substituting Absolute Zero**:
At absolute zero (T = 0 K), substituting into the relationships gives:
\[ V_{avg} = k \sqrt{0} = 0 \]
\[ V_{mp} = k \sqrt{0} = 0 \]
\[ V_{rms} = k \sqrt{0} = 0 \]
where \(k\) is a proportionality constant.

5. **Conclusion**:
Since all three types of velocities (average, most probable, and RMS) become zero at absolute zero temperature, we conclude that the velocity of gas molecules at absolute zero is zero.

### Final Answer:
The velocity of molecules at absolute zero temperature will be **zero** (Option B).

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