For gaseous state, if most probable speed is denoted by `C^(**)` average speed by `barC` and root square speed by `C`, then for a large number of molecules, the ratios of these speeds are

Options

A. `C^(**):barC:C=1:1.225:1.128`
B. `C^(**):barC:C=1.225:1.128:1`
C. `C^(**):barC:C=1.128: 1:1.225`
D. `C^(**):barC:C=1:1.128:1.225`

Answer

D

Explanation

`C^(**):bar(c ):C=sqrt((2RT)/(M)):sqrt((8RT)/(piM)):sqrt((3RT)/(M))`
`=sqrt2:sqrt((8)/(3.14)):sqrt3`
`=1:1.128:1.225`