Gauss's law states that f 9.dA= −47GM. A spherical star of mass M and radius R has a uniform density. By applying Gauss's law to a suitable Gaussian surface, show that the magnitude of g within the star rises linearly with radius r. In practice, a star is likely to have a higher density near its center. By referring to Gauss's law, explain in outline what effect this would have on g at a given radius r. Sketch g as a function of r for the above two situations (for r < R and assuming that in both cases the star has the same total mass M).

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter3: The Quantum Theroy Of Light
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Gauss's law states that
fg.dA= -4RGM.
A spherical star of mass M and radius R has a uniform density. By applying Gauss's law to
a suitable Gaussian surface, show that the magnitude of g within the star rises linearly with
radius r.
In practice, a star is likely to have a higher density near its center. By referring to Gauss's law,
explain in outline what effect this would have on g at a given radius r.
Sketch g as a function of r for the above two situations (for r < R and assuming that in both
cases the star has the same total mass M).
Transcribed Image Text:Gauss's law states that fg.dA= -4RGM. A spherical star of mass M and radius R has a uniform density. By applying Gauss's law to a suitable Gaussian surface, show that the magnitude of g within the star rises linearly with radius r. In practice, a star is likely to have a higher density near its center. By referring to Gauss's law, explain in outline what effect this would have on g at a given radius r. Sketch g as a function of r for the above two situations (for r < R and assuming that in both cases the star has the same total mass M).
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