The luminosity density of an accretion disk, which extends from riso to rmax, is given by the blackbody Planck's formula Ιναν Tmax 12 Sam r ehv/kBT(r) BT(r) – 1 dr, rlso where is the radiation frequency, T (r) is the temperature in the disc at radius r, h is the Planck's constant and kB is the Boltzmann's constant. Show that, in the limit hv <1, L, is proportional to 12. KBT
The luminosity density of an accretion disk, which extends from riso to rmax, is given by the blackbody Planck's formula Ιναν Tmax 12 Sam r ehv/kBT(r) BT(r) – 1 dr, rlso where is the radiation frequency, T (r) is the temperature in the disc at radius r, h is the Planck's constant and kB is the Boltzmann's constant. Show that, in the limit hv <1, L, is proportional to 12. KBT
Astronomy
1st Edition
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Chapter24: Black Holes And Curved Spacetime
Section: Chapter Questions
Problem 13E: Why would we not expect to detect X-rays from a disk of matter about an ordinary star?
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