AP EAMCET · PHYSICS · Thermodynamics
If a heat engine and a refrigerator are working between the same two temperatures \(T_1\) and \(T_2\left(T_1>T_2\right)\), then the ratio of efficiency of heat engine to coefficient of performance of refrigerator is
- A \(\frac{\left(\mathrm{T}_1-\mathrm{T}_2\right)}{\mathrm{T}_1 \mathrm{~T}_2}\)
- B \(\frac{\left(\mathrm{T}_1+\mathrm{T}_2\right)}{\mathrm{T}_1 \mathrm{~T}_2}\)
- C \(\frac{\left(\mathrm{T}_1-\mathrm{T}_2\right)^2}{\mathrm{~T}_1 \mathrm{~T}_2}\)
- D \(\frac{\left(T_1+T_2\right)^2}{T_1 T_2}\)
Answer & Solution
Correct Answer
(C) \(\frac{\left(\mathrm{T}_1-\mathrm{T}_2\right)^2}{\mathrm{~T}_1 \mathrm{~T}_2}\)
Step-by-step Solution
Detailed explanation
Efficiency of heat engine: \(\eta = 1 - \frac{T_2}{T_1} = \frac{T_1 - T_2}{T_1}\) Coefficient of performance of refrigerator: \(\text{COP}_{\text{ref}} = \frac{T_2}{T_1 - T_2}\) Ratio: \(\frac{\eta}{\text{COP}_{\text{ref}}} = \frac{\frac{T_1 - T_2}{T_1}}{\frac{T_2}{T_1 - T_2}}\)…
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
- A battery with a \(12 \mathrm{~V}\) emf has an initial charge of \(80 \mathrm{~A} . h\). If the potential across the terminals stays constant until battery is completely discharged, then this battery can deliver energy at the rate of \(120 \mathrm{~W}\) for a timeAP EAMCET 2022 Hard
- An alternating current is given by \(\mathrm{i}=(3 \sin \omega t+4 \cos \omega t)\)
A. The \(r m s\) current will beAP EAMCET 2024 Easy - The statements that are true about acceleration due to gravity, \(g\)
A. \(\mathrm{g}\) is greater at poles.
B. g value decreases with height.
C. \(g\) value is same all over the earth.
D. g value is maximum at centre of earth.AP EAMCET 2023 Easy - Match the following:
Column Column (a) Transverse wave through a steel rod (i) (b) Longitudinal waves in earth's crust (ii) (c) Longitudinal waves through a steel rod (iii) (d) Ripples (iv) AP EAMCET 2021 Hard - If \(75 \%\) of a radioactive sample disintegrates in 16 days, the half-life of the radioactive sample isAP EAMCET 2020 Easy
- The magnitudes of two vectors are A and \(\mathrm{B}(\mathrm{A}>\mathrm{B})\). If the maximum resultant magnitude of the two vectors is ' \(n\) ' times their minimum resultant magnitude, then \(\frac{\mathrm{A}}{\mathrm{B}}=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- Identify the correct statement from the following.AP EAMCET 2017 Easy
- The incorrect statement among the following is /areAP EAMCET 2021 Easy
- Find \(\sum_{t=1}^{39} f(t)\) if \(f: \mathbf{R} \rightarrow \mathbf{R}\) is defined as \(f(x+y)=f(x)+f(y), x, y \in \mathbf{R}\) and \(f(\mathrm{I})=7\)AP EAMCET 2020 Medium
- The solution of the differential equation \(x y^2 d y-\left(x^3+y^3\right) d x=0\) isAP EAMCET 2008 Medium
- Which of the following vector is equally inclined with the coordinate axes?AP EAMCET 2021 Easy
- The locus of the midpoint of the portion of the line \(x \cos \alpha+y \sin \alpha=p\) intercepted by the coordinate axes, where \(p\) is a constant, isAP EAMCET 2024 Hard