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The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of $1\, volt$ is
Figure shows the variation in temperature $\left( {\Delta T} \right)$ with the amount of heat supplied $(Q)$ in an isobaric process corresponding to a monoatomic $(M)$, diatomic $(D)$ and a polyatomic $(P)$ gas. The initial state of all the gases are the same and the scales for the two axes coincide. Ignoring vibrational degrees of freedom, the lines $a, b$ and $c$ respectively correspond to
The molecules of a given mass of a gas have a $r.m.s.$ velocity of $200\, m/sec$ at $27°C$ and $1.0 \times {10^5}\,N/{m^2}$ pressure. When the temperature is $127°C$ and pressure is $0.5 \times {10^5}\,N/{m^2}$, the $r.m.s.$ velocity in $m/sec$ will be
A horizontal uniform glass tube of $100 \,cm$, length sealed at both ends contain $10 \,cm$ mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively $81°C$ and $76\, cm$ of mercury. If the air column at one end is kept at $0°C$ and the other end at $273°C$, the pressure of air which is at $0°C$ is (in $cm$ of $Hg$)