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Q.

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 ms-1 in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground [NCERT Exemplar]

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a

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

b

will increase by a factor equal to (vrms2 + (500)2)/vrms2 where vrms was the original mean square velocity of the
gas.

c

remains the same because 500 ms-1 is very much smaller than vrms of the gas

d

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

answer is B.

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Detailed Solution

As 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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