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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Consider the dispersion relation
w²u² k²-2лGоok,
=
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:
a.
O b. Ug
O c.
Ug k
O d.
=
=
Ug
Ug =
2G00
u²k
u²k-лGoo
√u²k²-2лGook
2u²k
√u²k²-2лGook
u²k²-2лGoo
√u²k²-2лGook](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b765a29-fcb0-4895-9cef-5ef60c256f5b%2F93695389-2534-45bc-a66c-ce9f1f73d4d9%2Fop8oqk_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the dispersion relation
w²u² k²-2лGоok,
=
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:
a.
O b. Ug
O c.
Ug k
O d.
=
=
Ug
Ug =
2G00
u²k
u²k-лGoo
√u²k²-2лGook
2u²k
√u²k²-2лGook
u²k²-2лGoo
√u²k²-2лGook
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