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
$62\,^oC,\, 124\,^oC$
$99\,^oC,\, 37\,^oC$
$37\,^oC,\, 99\,^oC$
$124\,^oC, \,62\,^oC$
A carnot engine, having an efficiency of $\eta = 1/10$ as heat engine, is used as a refrigetator. If the work done on the system is $10\,J$ , the amount of energy absorbed from the reservoir at lower temperature is .......... $\mathrm{J}$
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
$2$ moles of a diatomic gas undergoes the process : $PT_2/V$ = constant. Then, the molar heat capacity of the gas during the process will be equal to
Given diagram shows an ideal gas taken from state $1$ to $2$ through optional paths, $A,B,C.$ Let $Q,W$ and $U$ represent the heat supplied to, the work done by gas and the internal energy of the gas, respectively. Then which of the following conditions is true?
A Carnot engine operating between temperatures $T_1$ and $T_2$ has efficiency $\frac {1}{6}$ . When $T_2$ is lowered by $60\,K$ ; its efficiency increases to $\frac {1}{3}$. Then $T_1$ and $T_2$ are respectively