For a monatomic gas, kinetic energy `= E`. The relation with `rms` velocity is

Options

A. `u=((2E)/(m))^(1//2)`
B. `u=((3E)/(2m))^(1//2)`
C. `u=((E)/(2m))^(1//2)`
D. `u=((E)/(3m))^(1//2)`

Explanation

To establish the relationship between the kinetic energy (E) of a monatomic gas and its root mean square (RMS) velocity (VRMS), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Kinetic Energy of a Monatomic Gas**:
The kinetic energy (E) of a monatomic gas is given by the formula:
\[
E = \frac{3}{2} RT
...