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Show that the variation of pressure with altitude for a planetary atmosphere (assuming constant temperature) is where g is taken to vary as l/r 2 (with r being the distance from the center of the planet), p 0 is the pressure at the surface, R is the radius of the planet, and k is a constant. Verify that this result reduces to Eq. 15-12 for locations close to the surface.

Show that the variation of pressure with altitude for a planetary atmosphere (assuming constant temperature) is
where g is taken to vary as l/r2 (with r being the distance from the center of the planet), p0 is the pressure at the surface, R is the radius of the planet, and k is a constant. Verify that this result reduces to Eq. 15-12 for locations close to the surface.

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
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