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A cubic vessel (with face horizontal + v...

A cubic vessel (with face horizontal + vetical ) 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.

A

Remains the same because 500 `ms^(-1)` is very much smaller than `v_"rms"` 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 `(v_"rms"^2+(500)^2)//V_"rms"^2` where `V_"rms"` where wms was the original mean square velocity of the gas

D

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

Text Solution

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The correct Answer is:
B

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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