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When an air bubble of radius $‘r’$ rises from the bottom to the surface of a lake, its radius becomes $5r/4$ (the pressure of the atmosphere is equal to the $10 \,m$ height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is .... $m$
An ideal gas of Molar mass $M$ is contained in a vertical tube of height $H$, closed at both ends. The tube is accelerating vertically upwards with acceleration $g$ Then, the ratio of pressure at the bottom and the mid point of the tube will be
$Assertion :$ Mean free path of a gas molecules varies inversely as density of the gas.
$Reason :$ Mean free path varies inversely as pressure of the gas.
A mixture of hydrogen and oxygen has volume $500\, {cm}^{3}$, temperature $300\, {K}$, pressure $400\, {kPa}$ and mass $0.76\, {g}$. The ratio of masses of oxygen to hydrogen will be :-
Which one of the following schematic graphs best represents the variation of $p V$ (in Joules) versus $T$ (in Kelvin) of one mole of an ideal gas? (The dotted line represents $p V=T$ )
A gas mixture consists of $2$ moles of oxygen and 4 moles of neon at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system will be $...........\,RT$