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⁻¹ in vertical direction.
The pressure of the gas inside the vessel as observed by
us on the ground
(a) remains the same because 500 ms⁻¹ is very much
smaller than vᵣₘₛ of the gas
(b) remains the same because motion of the vessel as a
whole does not affect the relative motion of the gas
molecules and the walls
(c) will increase by a factor equal to (v²ᵣₘₛ + (500)² ) / v²ᵣₘₛ
where vᵣₘₛ was the original mean square velocity of
the gas
(d) will be different on the top wall and bottom wall of the
vessel
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