Q.1) If a generalized coordinate has the dimensions of velocity, generalized Velocity has the dimensions of (a) Displace

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Q 1 If A Generalized Coordinate Has The Dimensions Of Velocity Generalized Velocity Has The Dimensions Of A Displace 1 (57.92 KiB) Viewed 33 times

Q.1) If a generalized coordinate has the dimensions of velocity, generalized Velocity has the dimensions of (a) Displacement (b) Velocity (c) Acceleration (d) Force Q.2) Choose the correct statements: (a) The angular momentum is conserved for system possessing rotational symmetry. (b) If the Lagrangian of a system is invariant under translation along a direction, the corresponding linear momentum is conserved. (c) If the lagrangian of a system is invariant under translation a long a direction, we cannot say anything about the corresponding linear momentum. (d)For a conservation system, the Hamiltonian is equal to the sum of kinetic and potential energies. Q.3) A particle is moving on elliptical path under inverse square law force of the form F(r)= (-K/r”), the eccentricity of the orbit is (a) A function of total energy. (b) Independent of total energy. (c) A function of angular momentum. (d) Independent of angular momentum.