JEE Mains · Physics · STD 11 - 11. thermodynamics
Initial pressure and volume of a monoatomic ideal gas are \(P\) and \(V\). The change in internal energy of this gas in adiabatic expansion to volume \(V_{final}=27V\) is ________ J.
- A \(-2PV(3\sqrt{3}-1)\)
- B \(\dfrac{4}{3}PV\)
- C \(-\dfrac{4}{3}PV\)
- D \(\dfrac{3}{4}PV\)
Answer & Solution
Correct Answer
(C) \(-\dfrac{4}{3}PV\)
Step-by-step Solution
Detailed explanation
For a monoatomic ideal gas, the ratio of specific heats is \(\gamma = \dfrac{5}{3}\). In an adiabatic process, \(PV^{\gamma} = \text{constant}\). \(P_1 V_1^{\gamma} = P_2 V_2^{\gamma}\) \(P V^{5/3} = P_2 (27V)^{5/3}\) \(P_2 = P \left(\dfrac{1}{27}\right)^{5/3} = \dfrac{P}{243}\)…
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
- Two parallel plate capacitors of capacity \(C\) and \(3\,C\) are connected in parallel combination and charged to a potential difference \(18\,V\). The battery is then disconnected and the space between the plates of the capacitor of capacity \(C\) is completely filled with a material of dielectric constant \(9\). The final potential difference across the combination of capacitors will be \(V\)JEE Mains 2022 Hard
- A thin uniform bar of length \(L\) and mass \(8\,m\) lies on a smooth horizontal table. Two point masses \(m\) and \(2\,m\) moving in the same horizontal plane from opposite sides of the bar with speeds \(2v\) and \(v\) respectively. The masses stick to the bar after collision at a distance \(\frac{L}{3}\) and \(\frac{L}{6}\) respectively from the centre of the bar. If the bar starts rotating about its center of mass as a result of collision, the angular speed of the bar will be
JEE Mains 2018 Hard - If velocity \([V],\) time \([T]\) and force \([F]\) are chosen as the base quantities, the dimensions of the mass will beJEE Mains 2021 Medium
- A wire of length 25 m and cross-sectional area \(5 \mathrm{~mm}^2\) having resistivity of \(2 \times 10^{-6} \Omega \mathrm{~m}\) is bent into a complete circle. The resistance between diametrically opposite points will be:JEE Mains 2025 Medium
- A bakelite beaker has volume capacity of \(500\, cc\) at \(30^{\circ} C\). When it is partially filled with \(V _{ m }\) volume (at \(30^{\circ}\) ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If \(\gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} C ^{-1}\) and \(\gamma_{(\text {mercury })}=1.5 \times 10^{-4}{ }^{\circ} C ^{-1},\) where \(\gamma\) is the coefficient of volume expansion, then \(V _{ m }(\)in \(cc )\) is close toJEE Mains 2020 Hard
- A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance \(2.5 \mu \mathrm{~F}\). The dielectric constant of the medium between the capacitor plates is 1 . It produces an instantaneous displacement current of 0.25 mA in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be _____ \(\mathrm{Vs}^{-1}\).JEE Mains 2025 Hard
More PYQs from JEE Mains
- Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_1\) . On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_2\). The time taken by her to walk up on the moving escalator will beJEE Mains 2021 Medium
- Match List\(-I\) with List\(-II.\)
Choose the correct answer from the options given belowList\(-I\) List\(-II\) \((a)\) Capacitance, \(C\) \((i)\) \({M}^{1} {L}^{1} {T}^{-3} {A}^{-1}\) \((b)\) Permittivity of free space, \(\varepsilon_{0}\) \((ii)\) \({M}^{-1} {L}^{-3} {T}^{4} {A}^{2}\) \((c)\) Permeability of free space, \(\mu_{0}\) \((iii)\) \({M}^{-1} L^{-2} T^{4} A^{2}\) \((d)\) Electric field, \(E\) \((iv)\) \({M}^{1} {L}^{1} {T}^{-2} {A}^{-2}\) JEE Mains 2021 Medium - As shown in the figure, the voltmeter reads \(2\,V\) across \(5\,\Omega\) resistor. The resistance of the voltmeter is \(.......\,\Omega\).
JEE Mains 2023 Hard - Let \(\vec{a}\) and \(\vec{b}\) be two vectors such that \(|\vec{a}|=1,|\vec{b}|=4\) and \(\vec{a} \cdot \vec{b}=2\). If \(\vec{c}=(2 \vec{a} \times \vec{b})-3 \vec{b}\) and the angle between \(\vec{b}\) and \(\vec{c}\) is \(\alpha\), then \(192 \sin ^2 \alpha\) is equal toJEE Mains 2024 Medium
- A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just \(10 \%\) of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser need to be rotated further to reduce the output intensity to be zero, is.....\(^o\)JEE Mains 2020 Medium
- If the system of linear equations \(2 x-3 y=\gamma+5\) ; \(\alpha x+5 y=\beta+1\), where \(\alpha, \beta, \gamma \in R\) has infinitely many solutions, then the value of \(|9 \alpha+3 \beta+5 \gamma|\) is equal toJEE Mains 2022 Medium