A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of 500m 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 500ms^-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 ( ${\mathit{V}}_{\mathit{r}\mathit{m}\mathit{s}}^2+{500}^2/{\mathit{V}}_{\mathit{r}\mathit{m}\mathit{s}}^2$  where V_rms was the original mean square velocity of the gas.

(d) Will be different on the top wall and bottom wall of the vessel.

A capillary glass tube records a rise of 20 cm when dipped in water. When the area of cross- section of the tube is reduced to half of the former value, water will rise to a height of:-

The root mean square speed of molecules of a gas is 1260 m/s. The average speed of the gas molecules is

A block rests on an inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between block and the plane is 0.8. If the frictional force on the block is 10 N, then mass of block (in kg) (Take g = 10 m/s² )

In a container, 1 g of hydrogen and 1 g of oxygen are taken. Find the ratio of hydrogen pressure to oxygen pressure,

Find the temperature of H₂ gas at which its rms speed is equal to that of O₂ at 47°C.