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[NOTES/QM-16008] Spherically Symmetric Square WellNode id: 4800page$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$
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[NOTES/ME-08007]-Equality of Inertial and Gravitational massesNode id: 5691page |
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22-08-16 13:08:56 |
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[LECS/EM-10001]-Maxwell’s Equation for Time Varying FieldsNode id: 5747page |
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22-09-03 18:09:15 |
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[QUE/TH-02001] TH-PROBLEMNode id: 5040pageConsider a closed cylinder whose walls are adiabatic. The cylinder is divided into three equal parts $A_1$, $A_2$ and $A_3$ by means of partitions $S_1$ and $S_2$, which can move along the length of the cylinder without friction. The partition $S_1$ is adiabatic and $S_2$ is conducting. Initially, each of the three parts contain one mole of Helium gas, which can be treated as an ideal gas, is at pressure $P_0$, temperature $T_0$ and volume $V_0$. Assume the specific heat at constant volume $C_v\,=\,\frac{3R}{2}$ and the specific heat at constant pressure $C_p\,=\,\frac{5R}{2}$. Now, heat is supplied to the to the left most partition $A_1$ till the temperature in part $A_3$ becomes $T_3\,=\,\frac{9T_0}{4}$ Find the final volume, pressure and temperature in terms of $V_0$, $P_0$ and $T_0$. Assume the entire process is quasistatic.
\vskip 3mm
3. ( Continuation of problem 2)
(a) What is work done by the gas in $A_1$ ?
(b) What is the heat supplied to the gas in $A_1$?
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22-01-14 10:01:44 |
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[QUE/TH-13004] TH-PROBLEMNode id: 5175pageThe fundamental equation for a system is given by
\begin{equation*}
u = \Lambda \frac{s^{3/2}}{v^{1/2}}
\end{equation*}
where \(\Lambda\) is a constant.
Prove the following equations
\begin{eqnarray}
T &=& \frac{5}{2} \frac{\Lambda S^{3/2}}{NV^{1/2}}\\
P V^{2/3} &=& N \frac{N \Lambda 2^{1/2}}{5*{3/2}} T^{5/3}\\
\mu &=& - \Big(\frac{2}{5}\Big)^{5/2} \frac{2}{\Lambda ^{2/3}} \Big(\frac{V}{N}\Big)^{1/3} T^{5/3}.
\end{eqnarray}
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22-01-13 17:01:57 |
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Mechanics --- Notes for Lectures and Problems --- [ME-MIXED-LOT]Node id: 5236collection |
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22-02-07 10:02:49 |
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[2013EM/HMW-07]Node id: 5381page |
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22-04-17 09:04:48 |
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[PSET/EM-02001]Node id: 5445page |
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22-05-26 19:05:56 |
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[2003SM/LNP-06] Lecture-06--What is Thermodynamics and Statistical MechanicsNode id: 5531pageWe begin with scope of thermodynamics and emphasize wide range of its applications. Thermodynamics takes a macroscopic view of a physical system. It laws are based on experience. Statistical mechanics is a microscopic view of physical systems and is based on established laws of classical and quantum mechanics.
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22-07-06 07:07:01 |
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[1998TH/LNP-25]-Efficiency of Carnot EngineNode id: 5595page |
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22-07-17 18:07:48 |
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[NOTES/QM-10001] Representations in an Inner Product SpaceNode id: 4719pageA brief account of representations in a finite dimensional vector spaces is presented. The use of an ortho norrnal basis along with Dirac notation makes all frequently used formula very intuitive. The formulas for representing a vector by a column vector and an operator by matrices are given. The results for change of o.n. bases are summarized.
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24-06-22 11:06:31 |
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[NOTES/QM-20003] Spin Wave Function Node id: 4846page$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$
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[LECS/EM-07002]-Magnetic Field of CurrentsNode id: 5719page |
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22-08-23 17:08:43 |
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21th-hmw-01Node id: 4992page |
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21-11-26 19:11:03 |
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[QUE/EM-02023] EM-PROBLEMNode id: 5126pageUse Gauss's law to find the electric field inside a uniformly charged
solid sphere of radius \(R\) and carrying charged density $\rho$. State facts
other than Gauss's law which you might have used in your answer.
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22-01-09 21:01:52 |
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[QUE/TH-06010] TH-PROBLEMNode id: 5205pageThe specific internal energy of a Van der Waals gas is given by
$$
u=c_v-{a\over v}+\text{const}
$$
Show that
\begin{eqnarray}
c_p-c_v =& R{1\over1-{2a(v-b)^2\over R\theta v^3}}
\end{eqnarray}
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22-01-20 10:01:28 |
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[2019EM/QUIZ-02]Node id: 5352pageElectrodynamics Feb 1,2008
2018 Quiz-II
- Find the direction and magnitude of $\vec{E}$ at the center of a rhombus, with interior angles of $\pi/3$ and $2\pi/3$, with charges at the corners as shown in figure below. Assume that $ q= 1\times 10^{-8}$C, $a=5$cm
-
Two spheres each of radius $R$ are placed so that they partially overlap. Thecharge densities in the overlap region is zero and in the two non overlappingregions is $+\rho$ and $-\rho$ respectively as shown in figure.The separation between the centres of the spheres is $D$.Show that the electric field in the overlap region is constant.
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22-04-04 16:04:00 |
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[2008EM/EVAL-TEST-02]Node id: 5416page |
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22-07-11 16:07:35 |
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[QUE/EM-01013] --- EM-PROBLEMNode id: 5491pageA "dipole" is formed from a rod of length \(2a\) and two charges \(+q\)
and \(-q\). Two such dipoles are oriented as shown in figure at the end,
their centers being separated by a distance \(R\). Calculate the force
exerted on the left dipole and show that, for \(R>>a\), the force is
approximately given by
\[F=\frac{3p^2}{2\pi\epsilon_0R^4}\]
where \(p=2qa\) is the dipole moment.
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22-06-18 12:06:26 |
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[2003SM/Eval-Test-III]Node id: 5559page |
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22-07-10 06:07:38 |
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