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Kinetic Theory of Gases appeared 26 times across 3 years — 3% of Physics. This question is from Rotating Gas Cylinder Pressure.

Year 2026 2025 2024 Total
Questions 6 11 9 26
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A cylindrical tube AB of length l, closed at both ends contains an ideal gas of 1 mol having molecular weight M. The tube is rotated in a horizontal plane with constant angular velocity ω about an axis perpendicular to AB and passing through the edge at end A, as shown in the figure. If PA and PB are the pressures at A and B respectively, then (Consider the temperature is same at all points in the tube)
Kinetic Theory of Gases diagram for Q37 - JEE Main 2026 January Morning
Cylindrical tube rotating about an axis passing through end A.

Solution & Explanation

Related Formula
dP = ρ ω² x dx, PM = ρ RT
Core Logic

Solution derivation diagram for Q37 - JEE Main 2026 Morning
Cylindrical tube rotating about an axis passing through end A.

Setting up differential pressure equation:

A[(P+dP) - P] = (dm)(ω² x) dP = (dm)/(A) ω² x

Substituting ρ = (PM)/(RT):

∫PAPB (dP)/(P) = (ω² M)/(RT) ∫₀^l x dx ln((PB)/(PA)) = (ω² l² M)/(2RT) PB = PA e(Mω² l²)/(2RT)
Pattern Recognition

Sees: Rotating gas column with centrifugal pressure gradient. Shortcut: Integrate hydrostatic equation with centripetal acceleration term. Check: Matches option (1). ✓

Chapter Mix

Class 11 Physics: Kinetic Theory of Gases

Reference Study Guides

Kinetic Theory Of Gases

More Kinetic Theory of Gases Previous-Year Questions — Page 6

Q31 jee_main_2024_31_jan_morning Kinetic Energy Of Gas Molecules
The parameter that remains the same for molecules of all gases at a given temperature is :
  • A. kinetic energy
  • B. momentum
  • C. mass
  • D. speed

Solution

Related Formula
KE = (f)/(2)kT
Core Logic

The average translational kinetic energy of any gas molecule depends only on the absolute temperature of the gas and is independent of the nature or mass of the gas.

For 1 mole of any ideal gas, the average translational kinetic energy is (3)/(2)RT. Therefore, at a given temperature, the kinetic energy parameter is uniform across all ideal gases.

Pattern Recognition

Temperature is directly proportional to average translational kinetic energy. If T is constant, KE is constant for all gases regardless of mass.

Chapter Mix

Class 11 Physics: Kinetic Theory

More Kinetic Theory of Gases Questions — jee_main_2026_22_january_morning

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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)