WBJEE · Physics · Thermodynamics
For an ideal gas with initial pressure and volume \(p_{i}\) and \(V_{i}\) respectively, a reversible isothermal expansion happens, when its volume becomes \(V_{0}\). Then, it is compressed to its original volume \(V_{i}\) by a reversible adiabatic process. If the final pressure is \(p_{f}\) then which of the following statement(s) is/are true?
- A \(p_{f}=p_{i}\)
- B \(p_{f}>p_{i}\)
- C \(p_{f} < p_{i}\)
- D \(\frac{\rho_{f}}{V_{0}}=\frac{P_{i}}{V_{i}}\)
Answer & Solution
Correct Answer
(B) \(p_{f}>p_{i}\)
Step-by-step Solution
Detailed explanation
In \(p-V\) diagram, the slope of an adiabatic curve at any point in steeper than that of isothermal curve at that point. Thus, \(p_{f}>p_{i}\)
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 water equivalent of a calorimeter is \(10 \mathrm{g}\) and it contains \(50 \mathrm{g}\) of water at \(15^{\circ} \mathrm{C}\). Some amount of ice, initially at \(-10^{\circ} \mathrm{C}\) is dropped in it and half of the ice melts till equilibrium is reached. What was the initial amount of ice that was dropped (when specific heat of ice \(=0.5 \mathrm{cal} \mathrm{gm}^{-1}{ }^{\circ} \mathrm{C}^{-1},\) specific heat of water \(=1.0\)
cal \(\mathrm{gm}^{-1 \circ} \mathrm{C}^{-1}\) and latent heat of melting of ice \(=80\) cal \(\mathrm{gm}^{-1}\) )?WBJEE 2018 Medium - A straight wire of length \(2 \mathrm{m}\) carries a current of \(10 \mathrm{A}\). If this wire is placed in a uniform magnetic field of 0.15 T making an angle of \(45^{\circ}\) with the magnetic field, the applied force on the wire will beWBJEE 2012 Easy
- In case of a simple harmonic motion, if the velocity is plotted along the \(X\) -axis and the displacement (from the equilibrium position) is plotted along the \(Y\) -axis, the resultant curve happens to be an ellipse with the ratio:
major axis (along X) \(=20 \pi\) minor axis (along \(Y)\)
What is the frequency of the simple harmonic motion?WBJEE 2018 Medium -
The variation of impedance Z of a series LCR circuit with frequency of the source is shown in the figure. Which of the following statement(s) is/are true?WBJEE 2024 Hard - Two spheres \(\mathrm{S}_1\) and \(\mathrm{S}_2\) of masses \(\mathrm{m}_1\) and \(\mathrm{m}_2\) respectively collide with each other. Initially \(\mathrm{S}_1\) is at rest and \(\mathrm{S}_2\) is movingwith velocity v along x -axis. After collision \(\mathrm{S}_2\) has a velocity \(\frac{\mathrm{v}}{2}\) in a direction perpendicular to the original direction. The sphere \(\mathrm{S}_1\) moves after collisionWBJEE 2025 Medium
- A thin plastic sheet of refractive index 1.6 is used to cover one of the slits of a clouble slit arrangement. The central point on the scireen is now occupied by what would have been the 7th bright fringo before the plastic was used. If the wavelength of light is \(600 \mathrm{nm}\), what is the thickness (in \(\mu \mathrm{m}\) ) of the plastic sheet?WBJEE 2015 Medium
More PYQs from WBJEE
- \(\mathrm{Cl}_{2} \mathrm{O}_{7}\) is the anhydride ofWBJEE 2018 Easy
- The emission spectrum of hydrogen discovered first and the region of the electromagnetic spectrum in which it belongs, respectively areWBJEE 2014 Easy
- If n is a positive integer, the value of \((2 n+1)^n C_0+(2 n-1)^n C_1+(2 n-3)^n C_2+\ldots .+1 \cdot{ }^n C_n\) isWBJEE 2024 Medium
- The rms speed of oxygen is \(v\) at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed becomesWBJEE 2015 Easy
- Which of the following compounds is not formed in iodoform reaction of acetoneWBJEE 2011 Hard
- A cricket ball thrown across a field is at heights \(h_{1}\) and \(h_{2}\) from the point of projection at times \(t_{1}\) and \(t_{2}\) respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey isWBJEE 2014 Hard