Directions for: The questions consist of two statements each, printed as assertion and reason. While answering these questions you are required to choose any one of the following five responses A. If both the Assertion and the Reason are true and the Reason is a correct explanation of the Assertion. B. If both the Assertion and the Reason are true but the Reason is not a correct explanation of Assertion. C. If the Assertion is true but the Reason is false. D. If both the Assertion and the Reason are false. E. If Assertion is false but Reason is true.
Assertion: For gas atom the number of degrees of freedom is 3. Reason: -\[[M{{L}^{2}}{{T}^{-2}}]\]A) A
B) B
C) C
D) D
E) E
Correct Answer: B
Solution :
The degrees of freedom of a particle indicate the number of independent motions which the particle can undergo, or the number of independent methods of exchanging energy. The molecule of a monatomic gas (such as He Ar etc) consists of a single atom. Its translational motion can take place in any direction in space. Thus, it can be resolved along three co-ordinate axes, and can have three independent motions. Hence, it has three degrees of freedom all translational. By definition of specific heat (y) \[\gamma =\frac{specific\text{ }heat\text{ }at\text{ }constant\text{ }pressure}{~specific\text{ }heat\text{ }at\text{ }constant\text{ }volume}\] \[=\frac{{{C}_{P}}}{{{C}_{V}}}\]
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