Physics · Kinetic Theory of Gases
A gas of molecules each having a mass m is in thermal equilibrium at a temperature T. Let vx, vy, vz be the Cartesian components of velocity of a molecule. The mean value of (vx - αvy + βvz)2 is: (Here α, β are constants and k is the Boltzmann constant)
- 1(α2 + β2)kTm
- 2(α2 - β2)kTm
- 3(1 - α2 + β2)kTm
- 4(1 + α2 + β2)kTm✓
Correct answer
(1 + α2 + β2)kTm
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