The root mean square velocity of gas is doubled, which of the following is correct ?

Options

A. Its temperature is doubled
B. Its pressure is made four times
C. Its temperature is increased four times
D. T is increased four times and pressure is doubled

Explanation

To determine the correct answer when the root mean square (RMS) velocity of a gas is doubled, we will analyze the relationship between RMS velocity, temperature, and pressure using the relevant equations.

### Step-by-Step Solution:

1. **Understanding the Formula for RMS Velocity**:
The root mean square velocity (\(v_{rms}\)) of a gas is given by the formula:
\[
v_{rms} = \sqrt{\frac{3RT}{M}}
...