JEE Mains · Physics · STD 11 - 11. thermodynamics
A monoatomic gas having \(\gamma=\frac{5}{3}\) is stored in a thermally insulated container and the gas is suddenly compressed to \(\left(\frac{1}{8}\right)^{\text {th }}\) of its initial volume. The ratio of final pressure and initial pressure is: ( \(\gamma\) is the ratio of specific heats of the gas at constant pressure and at constant volume)
- A 16
- B 40
- C 32
- D 28
Answer & Solution
Correct Answer
(C) 32
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & P_i V_i^\gamma=P_f V_f^\gamma \\ & \frac{P_f}{P_i}=\left(\frac{V_i}{V_f}\right)^\gamma=(8)^{5 / 3} \\ & \frac{P_f}{P_i}=32\end{aligned}\)
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 particles \(\mathrm{X}\) and \(\mathrm{Y}\) having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radius \(R_1\) and \(R_2\) respectively. The mass ratio of \(\mathrm{X}\) and \(\mathrm{Y}\) is _______.JEE Mains 2024 Medium
- Match List-I with List-II.
List-I List-II (A) Isothermal (I) \(\Delta W(\text{work done}) = 0\) (B) Adiabatic (II) \(\Delta Q(\text{supplied heat}) = 0\) (C) Isobaric (III) \(\Delta U(\text{change in internal energy}) \neq 0\) (D) Isochoric (IV) \(\Delta U = 0\)
Choose the correct answer from the options given below :JEE Mains 2025 Easy - Statement\(-I :\) By doping silicon semiconductor with pentavalent material, the electrons density increases. Statement\(-II :\) The \(n-\)type semiconductor has net negative charge. In the light of the above statements, choose the most appropriate answer from the options given below:JEE Mains 2021 Medium
- A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and ratio of specific heats \(1.4\). Vessel is moving with speed \(v\) and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by ... ( \(R =\) universal gas constant )JEE Mains 2022 Medium
- Moment of inertia of a cylinder of mass \(M,\) length \(L\) and radius \(R\) about an axis passing through its centre and perpendicular to the axis of the cylinder is \(I = M \left(\frac{ R ^{2}}{4}+\frac{ L ^{2}}{12}\right) .\) If such a cylinder is to be made for a given mass of material, the ratio \(\frac LR\) for it to have minimum possible \(I\) isJEE Mains 2020 Hard
- A Carnot engine absorbs \(1000\,J\) of heat energy from a reservoir at \(127\,^oC\) and rejects \(600\,J\) of heat energy during each cycle. The efficiency of engine and temperature of sink will beJEE Mains 2014 Hard
More PYQs from JEE Mains
- Suppose that a function \(f: R \rightarrow R\) satisfies \(f(x+y)=f(x) f(y)\) for all \(x, y \in R\) and \(f(1)=3 .\) If \(\sum \limits_{i=1}^{n} f(i)=363,\) then \(n\) is equal toJEE Mains 2020 Medium
- If two glass plates have water between them and are separated by very small distance ( see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is \(R\) and surface tension of water is \(T\) then the pressure in water between the plates is lower by
JEE Mains 2015 Medium - What will be the nature of flow of water from a circular tap, when its flow rate increased from \(0.18\, L / min\) to \(0.48\, L / min\) ? The radius of the tap and viscosity of water are \(0.5\, cm\) and \(10^{-3}\, Pa s\), respectively. (Density of water : \(10^{3}\, kg / m ^{3}\) )JEE Mains 2021 Medium
- A ball of mass \(100 \,g\) is dropped from a height \(h =\) \(10\, cm\) on a platform fixed at the top of vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance \(\frac{ h }{2}\). The spring constant is.......... \(Nm^{-1}\) . (Use \(g=10\, ms ^{-2}\) )
JEE Mains 2022 Medium - Let \(I = \int_a^b {\left( {{x^4} - 2{x^2}} \right)dx} \). If \(I\) is minimum then the ordered pair \((a, b)\) isJEE Mains 2019 Hard
- The election field in a region is given by \(\vec E = (Ax + B)\hat i\) where \(E\) is in \(N\,C^{-1}\) and \(x\) in meters. The values of constants are \(A = 20\, SI\, unit\) and \(B = 10\, SI\, unit\). If the potential at \(x =1\) is \(V_1\) and that at \(x = -5\) is \(V_2\) then \(V_1 -V_2\) is.....\(V\)JEE Mains 2019 Medium