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Engineering Physics · all questions

Classical Mechanics
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The Lagrangian of a particle' of mass m is
where V, W and ω are constants, then conserved quantities are

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The Lagrangian of a diatomic molecule is given by     where, m is the mass of each atom and x1, x2 are displacements from equilibrium position and k > 0. The normal frequencies are

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A planet moves around the sun in an elliptical orbit with semi-major axis a and time period T. T is proportional to

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A particle of charge q, mass m and linear momentum enters an electromagnetic field of vector potential and scalar potential . The Hamiltonian of particle is

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A mass m is connected on either side with a spring each of spring constants k1 and k2. The free ends of springs are tied to rigid supports. The displacement of the mass is x from equilibrium position.
Classical Mechanics mcq question image
Which one of the following is true?

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If a particle moves outwards in a plane along a curved trajectory described by r = aθ, θ = ωt, where a and ω are constants, then its

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