Given below are two statements:

Question:

Given below are two statements:

Statement I: In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution.

Statement II: in a diatomic molecule, the rotational energy at a given temperature equals the translational kinetic energy for each molecule. In the light of the above statements, choose the correct answer from the options given below:

  1. (1) Both statement I and statement II are false.

  2. (2) Both statement I and statement II are true,

  3. (3) Statement I is false but statement II is true

  4. (4) Statement $I$ is true but statement II is false.


Correct Option: , 4

Solution:

(4)

The translational kinetic energy \& rotational kinetic energy both obey Maxwell's distribution

independent of each other.

T.K.E of diatomic molecules $=\frac{3}{2} \mathrm{kT}$

R.K.E. of diatomic molecules $=\frac{2}{2} \mathrm{kT}$

So statement $\mathrm{I}$ is true but statement II is false.

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