Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $R$. Assertion A : Efficiency of a reversible heat engine will be highest at $-273^{\circ} C$ temperature of cold reservoir.

Reason $R$ : The efficiency of Carnot's engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as $\eta=\left(1-\frac{ T _2}{ T _1}\right)$.

In the light of the above statements, choose the correct answer from the options given below

JEE MAIN 2023, Medium
Download our app for free and get startedPlay store
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A  refrigerator works between $4^o C$ and $30^o C.$  It is required to remove $600$ calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is ....... $W$ (Take $1\, cal \,=\, 4.2\, Joules\,)$ 
    View Solution
  • 2
    The $P-V$ diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from $A \to B \to C$ is $30J$ and $40J$ heat is given to the system. The change in internal energy between $A$ and $C$ is ....... $J$
    View Solution
  • 3
    In the $p-V$ diagram below, the dashed curved line is an adiabat.For a process that is described by a straight line joining two points $X$ and $Y$ on the adiabat (solid line in the diagram) heat is (Hint consider the variation in temperature from $X$ to $Y$ along the straight line)
    View Solution
  • 4
    A measure of the degree of disorder of a system is known as
    View Solution
  • 5
    A diatomic ideal gas is used in a carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32\,V$ , the efficiency of the engine is
    View Solution
  • 6
    A heat engine operates between a cold reservoir at temperature ${T}_{2}=400\, {K}$ and a hot reservoir at temperature ${T}_{1} .$ It takes $300 \,{J}$ of heat from the hot reservoir and delivers $240\, {J}$ of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be $....{K}$
    View Solution
  • 7
    A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from $V$ to $32\ V$, the efficiency of the engine is
    View Solution
  • 8
    The internal energy of an ideal gas depends upon
    View Solution
  • 9
    A mono atomic gas is supplied the heat $Q$ very slowly keeping the pressure constant. The work done by the gas will be
    View Solution
  • 10
    The coefficient of performance of a Carnot refrigerator working between ${30^o}C$ and ${0^o}C$ is
    View Solution