Consider a spherical cloud of gas of diameter D and density p. The only forces present in the system are pressure forces within the cloud and its self-gravity. The cloud is surrounded by empty space. For each of the following values of D state whether the second longest-wavelength mode of oscillation of the density perturbation is stable or unstable. (Below u is the speed of sound in the cloud and G is the gravitational constant). D = ( 1/2 Зли² Choose... + Gp 1/2 2πι D = Choose... + Gp 1/2 3πι D = Choose... 2Gp 1/2 πω D = Choose... + 2Gp

Consider a spherical cloud of gas of diameter D and density p. The only forces present in the system are pressure forces within the cloud and its self-gravity. The cloud is surrounded by empty space. For each of the following values of D state whether the second longest-wavelength mode of oscillation of the density perturbation is stable or unstable. (Below u is the speed of sound in the cloud and G is the gravitational constant). D = ( 1/2 Зли² Choose... + Gp 1/2 2πι D = Choose... + Gp 1/2 3πι D = Choose... 2Gp 1/2 πω D = Choose... + 2Gp