RMS Speed of Gas Molecules NEET Question, RMS Speed of Gas Molecules MCQ Question

1.

The RMS speed (vᵣₘₛ) of gas molecules is defined as:

A.

The square root of the mean (average) of the squares of the speeds of all the molecules in a gas

B.

The geometric mean of the speeds of all molecules

C.

The speed possessed by the maximum number of molecules

D.

The arithmetic mean of the speeds of all molecules

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2.

The formula for RMS speed of gas molecules in terms of temperature and molar mass is:

A.

vᵣₘₛ = √(3RT/M), where R = universal gas constant, T = absolute temperature in Kelvin, M = molar mass in kg/mol

B.

vᵣₘₛ = √(8RT/πM)

C.

vᵣₘₛ = √(2RT/M)

D.

vᵣₘₛ = √(RT/M)

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3.

The formula for RMS speed in terms of Boltzmann constant kB and mass per molecule m is:

A.

vᵣₘₛ = √(2kBT/m)

B.

vᵣₘₛ = √(3kBT/m), where kB = Boltzmann constant = 1.38 × 10⁻²³ J/K and m = mass of one molecule

C.

vᵣₘₛ = √(8kBT/πm)

D.

vᵣₘₛ = √(kBT/m)

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4.

The RMS speed formula can also be written in terms of pressure (P) and density (ρ) of the gas as:

A.

vᵣₘₛ = √(3Pρ)

B.

vᵣₘₛ = √(2P/ρ)

C.

vᵣₘₛ = √(P/ρ)

D.

vᵣₘₛ = √(3P/ρ), where P is the pressure of the gas and ρ is its density

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5.

The RMS speed is related to the average kinetic energy (KE) of gas molecules by:

A.

KE = (1/2)mvᵣₘₛ² = (3/2)kBT per molecule (or (3/2)RT per mole)

B.

KE = mvᵣₘₛ² = 3kBT per molecule

C.

KE = (1/3)mvᵣₘₛ² = (1/2)kBT per molecule

D.

KE = (1/2)mvᵣₘₛ = (3/2)kBT

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6.

The correct order of the three molecular speeds from highest to lowest is:

A.

vₘₚ > vᵣₘₛ > v̄ₐᵥₑ

B.

v̄ₐᵥₑ > vᵣₘₛ > vₘₚ

C.

vᵣₘₛ > vₘₚ > v̄ₐᵥₑ

D.

vᵣₘₛ > v̄ₐᵥₑ > vₘₚ (RMS speed > Average speed > Most Probable speed)

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RMS Speed of Gas Molecules NEET Questions

RMS Speed of Gas Molecules MCQ Questions