Statement I : The molecules of a monatomic gas has three degrees freedom.
Statement II: The molecules of a diatomic gas has five degrees of freedom.

Moderate

A

If both statement I and statement II are true and statement II is the correct explanation of statement I.
B

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
C

If statement I is true but statement II is false
D

If both statement I and statement II are false

Solution

A monatomic gas molecule (like He) consists of a single atom. It can have translational motion in any direction in space. Thus, it has 3 translational degrees of freedom.
f = 3 (all transnational)
It can also rotate but due to its small moment of inertia rotational kinetic energy is neglected.
The molecules of a diatomic gas (like $O_{2}$ , $H_{2}$ ) cannot only move bodily but also rotate about any one of the three co-ordinate axes. Hence, it can have only two rotational degrees of freedom.
Thus a diatomic molecule has 5 degrees of freedom: 3 translational and 2 rotational.

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