Consider the dispersion relation w²u²k²-2лGбok, which describes the gravitational stability of a thin gaseous disc. In it is the angular frequency and k the wavenumber of small perturbations, is the surface density of the disc, u the speed of sound in the disc and G the gravitational constant. Which of the following expressions gives the group velocity ug of the small perturbations? Select one: O a. Ug O b. Ug OC. Ug O d. Ug = = = = 1- 2xGoo u²k u²k-zGoo √u²k²-2nGook 2u²k √u²k²-2nGook uk²-2xGoo √u²k²-2лGook

Consider the dispersion relation w²u²k²-2лGбok, which describes the gravitational stability of a thin gaseous disc. In it is the angular frequency and k the wavenumber of small perturbations, is the surface density of the disc, u the speed of sound in the disc and G the gravitational constant. Which of the following expressions gives the group velocity ug of the small perturbations? Select one: O a. Ug O b. Ug OC. Ug O d. Ug = = = = 1- 2xGoo u²k u²k-zGoo √u²k²-2nGook 2u²k √u²k²-2nGook uk²-2xGoo √u²k²-2лGook

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.36P

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