NEET2026Physics-Kinetic Theory of Gases

NEET 2026 Physics Root Mean Square Speed MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A flask contains argon and chlorine in the ratio of 2 : 1 by mass. The temperature of the mixture is 27°C. The ratio of root mean square speed of the molecules of the two gases (vAr rmsvCl rms)\left( \frac{v_{\text{Ar rms}}}{v_{\text{Cl rms}}} \right) is: (Atomic mass of argon = 40.0 u and molecular mass of chlorine = 70.0 u)

A

72\frac{\sqrt{7}}{2}

B

74\frac{7}{4}

C

72\frac{7}{2}

D

27\frac{2}{\sqrt{7}}

Correct Answer

Option A

Detailed Explanation

The root mean square speed vrmsv_{\text{rms}} is inversely proportional to the square root of the molar mass MM. Therefore, vAr rmsvCl rms=MClMAr=7040=72\frac{v_{\text{Ar rms}}}{v_{\text{Cl rms}}} = \sqrt{\frac{M_{\text{Cl}}}{M_{\text{Ar}}}} = \sqrt{\frac{70}{40}} = \frac{\sqrt{7}}{2}.

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