Which statements are correct about degrees of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Statement $A$ is incorrect because energy is stored in each degree of freedom independently,not as $n^2$.Statement $B$ is correct according to the

Vedclass · Accepted Answer

$B$ and $D$ only

Vedclass · Answer

(B) Statement $A$ is incorrect because energy is stored in each degree of freedom independently,not as $n^2$.Statement $B$ is correct according to the Law of Equipartition of Energy,which states that each degree of freedom contributes $\frac{1}{2} RT$ per mole to the internal energy.Statement $C$ is incorrect because a monoatomic gas molecule has $0$ rotational degrees of freedom,while a diatomic molecule has $2$ rotational degrees of freedom.Statement $D$ is correct. $CH_{4}$ is a non-linear polyatomic molecule. The total degrees of freedom $f$ for a non-linear molecule with $N$ atoms is $3N$. For $CH_{4}$,$N=5$,so $f = 3 	imes 5 = 15$. However,if we consider rigid molecules at moderate temperatures,the degrees of freedom are $3$ (translational) $+ 3$ (rotational) $= 6$. Thus,$D$ is considered correct in the context of rigid body dynamics.Therefore,$B$ and $D$ are the correct statements.

Similar Questions

Write the degree of freedom for a diatomic rigid rotator.

Internal energy of $n_1$ moles of hydrogen at temperature $T$ is equal to the internal energy of $n_2$ moles of helium at temperature $2T$. Then the ratio $n_1:n_2$ is: [Degree of freedom of $He = 3$,Degree of freedom of $H_2 = 5$]

$Assertion :$ For a gas atom,the number of degrees of freedom is $3$.
$Reason :$ $\frac{C_P}{C_V} = \gamma $

If hydrogen gas is heated to a very high temperature,then the fraction of energy possessed by gas molecules corresponding to rotational motion is ...........

Vedclass Test Series

Exam Paper Generator

Online Exam Module