An ideal gas consists of a large number of identical molecules. Absolute temperature of the gas is T(in kelvin). Molecular weight of gas is `M` and `R` is gas constant. Mathch the proper entries from column-2 to column-1 using the codes given below the columns. `{:("Column"-1,"Column"-II),((P)"Root mean square speed of molecules is greater than",(1)sqrt((RT)/(M))),((Q)"Most probable speed of molecues is smaller than",(2)1.5sqrt((RT)/(M))),((R)"Average velocity of a molecule is smaller than",(3)2sqrt((RT)/(M))),((S)"Speed of a molecule may be greater than",(4)2.5sqrt((RT)/(M))):}`

Options

A. `{:(p,q,r,s),(2,1,3,4):}`
B. `{:(p,q,r,s),(3,1,4,2):}`
C. `{:(p,q,r,s),(1,3,2,4):}`
D. `{:(p,q,r,s),(4,2,3,1):}`

Explanation

To solve the problem, we need to match the statements in Column-1 with the correct entries in Column-2 based on the properties of an ideal gas.

### Step-by-Step Solution:

1. **Understanding Root Mean Square Speed (RMS Speed)**:
- The root mean square speed (v_rms) of gas molecules is given by the formula:
\[
v_{rms} = \sqrt{\frac{3RT}{M}}
...