JEE Mains · Physics · STD 11 - Thermodynamics
- JEE Mains 2025
- Medium
- MCQ
Identify the characteristics of an adiabatic process in a monoatomic gas.
(A) Internal energy is constant.
(B) Work done in the process is equal to the charge in internal energy.
(C) The product of temperature and volume is a constant.
(D) The product of pressure and volume is a constant.
(E) The work done to change the temperature from \(\mathrm{T}_1\) to \(\mathrm{T}_2\) is proportional to \(\left(\mathrm{T}_2-\mathrm{T}_1\right)\)
Choose the correct answer from the options given below :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) (B), (E) only
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \mathrm{Q}=\Delta \mathrm{U}+\mathrm{W}=0 \Rightarrow-\Delta \mathrm{U}=\mathrm{W} \\ & \mathrm{WD}=-\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T} \Rightarrow|\mathrm{WD}|=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T} \propto \mathrm{T}_2-\mathrm{T}_1\end{aligned}\)
\(\therefore \mathrm{B} \& \mathrm{E}\) [Only possibility]
\(\therefore \mathrm{B} \& \mathrm{E}\) [Only possibility]
More questions from Physics
- Three capacitors \({C}_{1}=2\, \mu {F}, {C}_{2}=6 \, \mu {F}\) and \({C}_{3}=12 \, \mu {F}\) are connected as shown in figure. Find the ratio of the charges on capacitors \({C}_{1}, {C}_{2}\) and \({C}_{3}\) respectively:
JEE Mains 2021 Hard - When an air bubble of radius \(r\) rises from the bottom to the surface of a lake, its radius becomes \(\frac{{5r}}{4}\).Taking the atmospheric pressure to be equal to \(10\,m\) height of water column, the depth of the lake would approximately be ....... \(m\) (ignore the surface tension and the effect of temperature)JEE Mains 2018 Hard
- \(27\) identical drops are charged at \(22\, V\,\,each.\) They combine to form a bigger drop. The potential of the bigger drop will be............ \(V.\)JEE Mains 2022 Medium
- A large number of water drops, each of radius \(r\), combine to have a drop of radius \(R\). If the surface tension is \(T\) and mechanical equivalent of heat is \(J ,\) the rise in heat energy per unit volume will beJEE Mains 2021 Hard
- \(B _{ X }\) and \(B _{ Y }\) are the magnetic field at the centre of two coils of two coils \(X\) and \(Y\) respectively, each carrying equal current. If coil \(X\) has \(200\) turns and \(20 cm\) radius and coil \(Y\) has \(400\) turns and \(20 cm\) radius, the ratio of \(B _{ X }\) and \(B _{ Y }\) isJEE Mains 2022 Medium
- The relative error in the determination of the surface area of a sphere is \(\alpha \). Then the relative error in the determination of its volume isJEE Mains 2018 Hard
More PYQs from JEE Mains
- An electron, moving along the \(x-\) axis with an initial energy of \(100\, eV\), enters a region of magnetic field \(\vec B = (1.5\times10^{-3}T)\hat k\) at \(S\) (See figure). The field extends between \(x = 0\) and \(x = 2\, cm\). The electron is detected at the point \(Q\) on a screen placed \(8\, cm\) away from the point \(S\). The distance \(d\) between \(P\) and \(Q\) (on the screen) is :......\(cm\) (electron's charge \(= 1.6\times10^{-19}\, C\), mass of electron \(= 9.1\times10^{-31}\, kg\))
JEE Mains 2019 Hard - A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample is _______.JEE Mains 2024 Hard
- A wire of length \(L\) is hanging from a fixed support. The length changes to \(L _{1}\) and \(L _{2}\) when masses \(1 \,kg\) and \(2 \,kg\) are suspended respectively from its free end. Then the value of \(L\) is equal to ..................JEE Mains 2022 Hard