AIIMS2017Physics-Thermodynamics

AIIMS 2017 Physics Degrees of Freedom Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 11

In the following questions, a statement of assertion is given followed by a corresponding statement of reason. Assertion: Molecules of monoatomic gas has three degrees of freedom. Reason: Molecules of diatomic gas has five degrees of freedom.

A

If both assertion and reason are true and reason is correct explanation of assertion.

B

If both assertion and reason are true and reason is not correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option C

Detailed Explanation

The assertion is true because monoatomic gases, such as helium (He) or neon (Ne), possess three translational degrees of freedom, corresponding to motion along the x, y, and z axes. However, the reason is false; diatomic gases, like oxygen (O₂) or nitrogen (N₂), actually have five degrees of freedom (three translational and two rotational) at room temperature, not five degrees of freedom due to vibrational modes, which become significant at higher temperatures. Options A and B are incorrect as they require both statements to be true, and option D is incorrect because the assertion is indeed true.

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