The potential energy of a diatomic molecule is given by $U$ = $\frac{A}{r^{12}} - \frac{B}{r^6}$.$A$ and $B$ are positive constants. The distance $r$ between them at equilibrium is
$(\frac{A}{B})^\frac{1}{6}$
$(\frac{2A}{B})^\frac{1}{6}$
$(\frac{A}{2B})^\frac{1}{6}$
None of these
A Carnot engine has an efficiency of $1/6$. When the temperature of the sink is reduced by $62\,^oC$, its efficiency is doubled. The temperatures of the source and the sink are, respectively
$3\, moles$ of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K$, $T_2 = 800\, K$, $T_3 = 2400\, K$ and $T_4 = 1200\,K$. The work done by the gas during the cycle is ...... $kJ$
During an experiment an ideal gas is found to obey an additional law $VP^2 =$ constant. The gas is initially at temperature $T$ and volume $V$. What will be the temperature of the gas when it expands to a volume $2V$?
A carnot engine having an efficiency of as heat engine, is used as a refrigerator. If the work done on the system is $10 \,J,$ the amount of energy absorbed from the reservoir at lower temperature is .......... $\mathrm{J}$
Six moles of an ideal gas perfoms cycle shown in figure. If the temperature $T_A = 600\, K$, $T_B = 800\, K, T_C = 2200\, K$ and $T_D = 1200\, K$, the work done per cycle is........ $kJ$