MSc Physics Question Paper

I want to get MSc Physics question Paper of Pune University will you please provide me that ?

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As you want to get MSc Physics question Paper of Pune University so here I am giving you same:

Q) Attempt any four of the following :
a) Obtain the Lagrangian and equation of motion for a mass ‘m’ is
suspended to a spring of force constant ‘k’ and allowed to swing
vertically.
c) Calculate the reduced mass of CO and HCl molecule. (Atomic numbers
of H,C,O and Cl atoms are 1, 12, 16 and 35.5 respectively).
d) Two heavy particles of weights W1 and W2 are connected by a light
inextensible string and hang over a fixed smooth circular cylinder of
radius R, the axis of which is horizontal. Find the condition of
equilibrium of the system by applying the principle of virtual work.[4]
e) If F and G are functions of position co-ordinates qi , and momentum
co-ordinates pi , define the Poisson’s brackets of F and G. Prove that
i) [F, G] = – [G, F] ii) [qi , pj] = – δij
f) Find the horizontal component of the Coriolis force acting on a rigid
body of mass 1.5 kg moving northward with a horizontal velocity of
100 m/sec., at 30°N lattitude on earth.

Q) a) Show that Q = lu
q
p sin , P = q cotp are canonical. Find the function in
(q, Q). [8]
b) Write a note on ‘holonomic and non-holonomic constraints’ with
examples of each type. [4]
c) Explain the term “Virtual displacement” and state the principle of virtual
work.

Q) a) Compare Newtonian, Lagrangian and Hamiltonian formulation and
discuss the advantages and disadvantages of each. [8]
b) A pendulum of mass m is attached to a block of mass M. The block
slides on a horizontal frictionless surface. Find the Lagrangian and
equation of motion of the pendulum. For small amplitude oscillations,
derive an expression for periodic time.
Pune University MSc Physics question Paper




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