Physics Quiz

Show that poisson brackets are invariant under canonical transformations.

• Pressure

• Acceleration

• Force

• Gravity

Write Hamilton-Jacobi equation and explain its importance.

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Obtain the expressions for normal frequencies and normal modes of a symmetric linear triatomic molecule.

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What is length contraction? Derive an expression for the contracted length.

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Write Minkowski space-time diagram and explain classification of events based on it.

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With neat diagrams explain how Euler angles are defined.

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Discuss the motion of heavy symmetric top rotating under the action of gravity with one point fixed.

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Explain the evidences of mass-energy equivalence and describe Eotvos experiment.

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Three particles of masses 2kg, 2.5kg and 3.5kg are placed at points (2,0,2), (0.3.2) and (-2,-2,0) respectively. Determine the coordinates of the center of mass.

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A body of mass m is thrown as a projectile. Construct the Lagrangian and determine the equations of motion.

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