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^(**):overset(-)C:C=1:1.225:1.128`
B. `C^(**):overset(-)C:C=1.225:1.128:1`
C. `C^(**):overset(-)C:C=1.128:1.125:1`
D. `C^(**):overset(-)C:C=1:1.128:1.225`

Answer

D

Explanation

`C^(**)=sqrt((2RT)/(M)), bar(C )=sqrt((8RT)/(piM)),C=sqrt((3RT)/(M))`
`:. C^(**):bar(C ):C=sqrt((8)/(pi)):sqrt(3)=1:sqrt((4)/(pi)):sqrt((3)/(2))`
`=1:1.128:1.225`