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CSIR NET Result December |

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CMI PhD (Physics) Entrance Exam: Sample Questions
I. A small particle of mass m slides without friction on the inside of a hemispherical bowl resting on a horizontal table. Using spherical polar coordinates, x = rsincos; y = rsinsin; z = rcos a) Write the Lagrangian for the motion. b) Determine the generalised momenta p and p. c) Write the Hamiltonian for the motion. d) Develop the Hamilton's equations of motion. e) Combine the equations to produce one second order dierential equation for as a function of time. f) If = 0 and _ = 0, independent of time, calculate the velocity (magnitude and direction). g) If at t = 0, = 0, and _ = 0, calculate the maximum speed at later times. II. A sphere of radius R has a surface charge density . a) Find the electric potential both inside and outside the sphere. b) Find the electric eld everywhere. c) Plot a few equipotential surfaces and electric eld lines. The sphere is now set rotating about the z-axis with an angular velocity . d) Find the vector potential both inside and outside the sphere. e) Find the magnetic eld everywhere. f) Plot the magnetic eld lines. III. Consider a system composed of a very large number N of distinguishable atoms at rest and mutually noninteracting, each of which has only two (nondegenerate) energy levels: 0; > 0. Let E=N be the mean energy per atom in the limit N ! 1. 1 a) What is the maximum possible value of E=N if the system is not necessarily in thermodynamic equilibrium? b) What is the maximum attainable value of E=N if the system is in equilibrium (at positive temperature)? c) For thermodynamic equilibrium compute the entropy per atom as a function of E=N. Suppose now that the system is in a thermal radiation eld at temperature T. The following three processes take place: 1) Atoms can be promoted from state 1 to state 2 by absorption of a photon according to (dN1 dt )abs =
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Re: CSIR NET Result December
You need CSIR Human Resource Development Group National Eligibility Test result, here is the attachment for CSIR Human Resource Development Group National Eligibility Test result, some of pass applicants roll no are follows: 101218 105734 110462 112928 115171 117032 118232 121551 125216 127760 130622 133497 134125 134713 135349 135716 136083 136577 138065 141696 143703 146111 147646 151493 200986 202595 204557 205195 205758 206925 207810 208832 302281 307946 313714 CSIR NET Exam Dec ResultFor complete list of result here i am attached a file
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