MHT CET · Physics · Thermodynamics
A Carnot's cycle operating between \(T_H=600 \mathrm{~K}\) and \(T_c=300 \mathrm{~K}\) produces 1.5 kJ of mechanical work per cycle. The heat transferred to the engine by the reservoir is
- A 2.5 kJ
- B 3.0 kJ
- C 3.5 kJ
- D 4.0 kJ
Answer & Solution
Correct Answer
(B) 3.0 kJ
Step-by-step Solution
Detailed explanation
Efficiency of Carnot's engine
\(\begin{aligned}
\begin{aligned}
\eta=1 & -\frac{T_C}{T_H} \\
& =1-\frac{300}{600} \\
\eta & =\frac{1}{2}...(i)
\end{aligned}
\end{aligned}\)
Efficiency \((\eta)=\frac{\text { Work done per cycle }(W)}{\text { Heat transformed per cycle }(Q)}\)
\(\begin{aligned}
& \frac{1}{2}=\frac{1.5}{Q} \\
& \mathrm{Q}=1.5 \times 2=3 \mathrm{~kJ}
\end{aligned}\)
...[From (i)]
\(\begin{aligned}
\begin{aligned}
\eta=1 & -\frac{T_C}{T_H} \\
& =1-\frac{300}{600} \\
\eta & =\frac{1}{2}...(i)
\end{aligned}
\end{aligned}\)
Efficiency \((\eta)=\frac{\text { Work done per cycle }(W)}{\text { Heat transformed per cycle }(Q)}\)
\(\begin{aligned}
& \frac{1}{2}=\frac{1.5}{Q} \\
& \mathrm{Q}=1.5 \times 2=3 \mathrm{~kJ}
\end{aligned}\)
...[From (i)]
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The angle of incidence is found to be twice the angle of refraction when ray of light passes from vacuum into a medium of refractive index ' \(\mu\) '. The angle of incidence will beMHT CET 2024 Hard
- When one end of the capillary is dipped in water, the height of water column is ' \(h\) '. The upward force of 108 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is
(surface tension of water \(=7 \cdot 2 \times 10^{-2} \mathrm{~N} / \mathrm{m}\) )MHT CET 2025 Medium - The resonant frequency of an \(L-C\) circuit isMHT CET 2012 Medium
- Two identical metal spheres are kept in contact with each other, each having radius ' \(R\) ' cm and ' \(\rho\) ' is the density of material of metal spheres. The gravitational force ' \(F\) ' of attraction between them is proportional toMHT CET 2024 Hard
- Two identical capacitors A and B are connected in series to a battery of E.M.F., 'E'. Capacitor B contains a slab of dielectric constant \(\mathrm{K} . \mathrm{Q}_{\mathrm{A}}\) and \(\mathrm{Q}_{\mathrm{B}}\) are the charges stored in A and B . When the dielectric slab is removed, the corresponding charges are \(\mathrm{Q}_{\mathrm{A}}^{\prime}\) and \(\mathrm{Q}_{\mathrm{B}}\). ThenMHT CET 2024 Medium
- A particle of mass \(10 \mathrm{~g}\) moves along a circle of radius \(6.4 \mathrm{~cm}\) with a constant tangential acceleration. If the kinetic energy of the particle becomes \(8 \times 10^{-4} \mathrm{~J}\) by the end of the second revolution after the beginning of the motion, the magnitude of the tangential acceleration isMHT CET 2022 Easy
More PYQs from MHT CET
- Two parallel conducting wires of equal length are placed distance \(d\) apart carry current \(I_1\) and \(I_2\) respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between both the wires isMHT CET 2022 Medium
- What is the packing efficiency of silver metal in its unit cell?MHT CET 2023 Easy
- Given below are two statements regarding evolution.
Statement-I: Selection against harmful mutation leads to a mutation balance.
Statement-II: In mutation balance, the allele frequency of harmful recessives keep on changing generation after generation.
In the light of above statements, choose the most appropriate answer from the options given below:MHT CET 2021 Medium - A current ' \(I\) ' produces a magnetic flux ' \(\phi\) ' per turn in a coil of ' \(n\) ' turns. Self-inductance of the coil is ' \(L\) '. The relation between them isMHT CET 2021 Easy
- The equi-convex lens has a focal length ‘ ’. If the lens is cut along the line perpendicular to principal axis and passing through the pole, what will be the focal length of any half part?MHT CET 2019 Easy
- If \(y^2=a x^2+b x+c\), where \(a, b, c\) are constants, then \(y^3 \frac{d^2 y}{d x^2}\) is equal toMHT CET 2021 Easy