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Home Questions MEXZTE7V6K
Target Exam

CUET

Subject

Physics

Chapter

Kinetic Theory

Question:

A cubic vessel (with face horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of 500 m/s in vertical direction. The pressure of the gas inside the vessel as observe by us on the ground :

Options:

remains the same because 500 m/s is very much smaller than vrms of the gas

remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls

will increase by a factor equal to \(\frac{v^2_{rms} + 500^2}{v^2_{rms}}\) where vrms was the original mean square velocity of the gas

will be different on the top wall and bottom wall of the vessel

Correct Answer:

remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls

Explanation:
  • The pressure in the vessel is because of the relative motion that is when collision takes place, it is the relative velocity which changes.
  • The motion of the vessel as a whole does not affect the relative motion of the gas molecules with respect to the walls of the vessel, hence pressure of the gas inside the vessel, as observed by us, on the ground remains the same.

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