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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 `500ms^(-1)` is very much smaller than `upsilon_(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 `[upsilon)(rms)^(2) + (500)^(2)[//upsilon_(rms)^(2)` where `upsilon_(rms)` was the original nean 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

The pressure of the gas inside the vessel, as observed by us, on the ground remains the same. This is because motion of the vessel as a whole does not affect the relative motion of gas molecules and the walls of the vessel.
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Knowledge Check

  • Vessel A contains an ideal gas at a pressure 5xx10^(5) Pa and is connected with a heat source which maintains its temperature at 300 K . Another vessel B which has four time greater inner volume contains the same gas at a pressure 10^(5) Pa and is connected to a heat source which maintains its temperature at 400 K . What will be the pressure of entire system if two vessels are connected by a narrow tube tap:-

    A
    `10^(5)Pa `
    B
    `2xx10^(5)Pa`
    C
    `4xx10^(5)Pa`
    D
    `5xx10^(5)Pa`
  • There are two identical vessels containing same quantity of an ideal gas at same pressure vessel A is placed in a train moving with constant speed and the vessel B is placed on the platform in the frame of an observer standing on the platform select the correct statement

    A
    Temperature of gas in both vessel is same where as kinetic energy of gas in the vessel is different
    B
    kinetic energy of gas in both vessels is same but temperature are different
    C
    both kinetic energy and temperature are same.
    D
    both kinetic energy and temperature are different
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    A
    `(Mv^(2) (gamma -1))/(2 R (gamma + 1))`
    B
    `(Mv^(2) (gamma -1))/(2 R)`
    C
    `(Mv^(2))/(2 R (gamma + 1))`
    D
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