JEE Main 2022 · 27 Jul · Shift 2 · Physics Q39

PhysicsSingle correct+4 / -1Question 39 of 90

Which statements are correct about degrees of freedom ?

(A) A molecule with n degrees of freedom has $n^2$ different ways of storing energy.

(B) Each degree of freedom is associated with $\dfrac12RT$ average energy per mole.

(C) A monatomic gas molecule has 1 rotational degree of freedom where as diatomic molecule has 2 rotational degrees of freedom.

(D) $\mathrm{CH_4}$ has a total of 6 degrees of freedom.

Choose the correct answer from the options given below :

(B) and (C) only

(B) and (D) only

(A) and (B) only

Answer and worked solution

Official answer: B

Check. (B) is true (equipartition). (D) is true: 3 translational and 3 rotational for non-linear $\mathrm{CH_4}$ .

(A) and (C) are false.

(B)

Topics:Degrees of freedom and equipartition

JEE Main 2022 · 27 Jul · Shift 2, Physics question 39