The most probable speed of the molecules in a gas at temperature `T_2` is equal to the average speed of the molecules at temperature `T_1 ` Find `T_2 //T_1`

Explanation

To solve the problem, we need to find the ratio \( \frac{T_2}{T_1} \) given that the most probable speed of the molecules in a gas at temperature \( T_2 \) is equal to the average speed of the molecules at temperature \( T_1 \).

### Step-by-Step Solution:

1. **Define the Most Probable Speed**:
The most probable speed \( v_{mp} \) of gas molecules at temperature \( T_2 \) is given by the formula:
\[
v_{mp} = \sqrt{\frac{2RT_2}{M}}
...