AIIMS 2018 Physics Root Mean Square Velocity MCQ Question
Assertion : For an ideal gas, at constant temperature, the product of pressure and volume is constant.
Reason : The mean square velocity of the molecules is inversely proportional to mass.
If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
In the context of an ideal gas, the relationship between pressure (P), volume (V), and temperature (T) is described by the ideal gas law, PV = nRT. At constant temperature, the product of pressure and volume remains constant, which implies that the mean square velocity (Vₘₛ) of gas molecules is inversely proportional to the square root of their mass (m), expressed as Vₘₛ ∝ 1/√m. This means that lighter molecules move faster on average, which aligns with kinetic molecular theory. Other options are not applicable as they do not provide relevant information or correct interpretations of the gas laws.
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