Kinetic Theory

The r.m.s. velocity of gas molecules is related to the temperature by the equation: This means the r.m.s. velocity of the gas molecules is proportional to the square root of the temperature.
Now, we are given:
- Initial temperature ,
- Final temperature ,
- The initial velocity .
We need to find the final velocity . Using the formula: Substitute the values of and : Thus, .
The correct answer is option (B): .