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MHT CET202313 May 2023Evening ShiftPhysicsKinetic Theory of GasesActual

A gas at pressure P ₀ is contained in a vessel. If the masses of all the molecules are halved and their velocities are doubled, the resulting pressure would be equal to

Options

  1. A4 P ₀
  2. B2 P ₀
  3. CP ₀
  4. DP₀ 2

Correct answer

B. 2 P ₀

Step-by-step solution

The pressure is given as P = 1 3 mN V v _ rms ^2 P mv _ ms ^2 P ₂ P ₁ = m ₂ v ₂^2 ~m ₁ v ₁^2 P ₂ P ₁ = m ₁ 2 (2 v ₁ )^2 ~m ₁ v ₁^2 =2 P ₂=2 P ₀ ( P ₁= P ₀ )

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