PCS 181 Study Guide - Accretion Disk, Escape Velocity

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A black hole accretion disk has a luminosity of 1030w and emit -rays of wavelength 1nm. Determine its temperature in k and its radius in km. Converted nm to m so it would cancel: t = 0. 0029 m*k. No as we need 10 million k at the minimum: luminosity reaction -> isolate for radius. Radius from center of bh to edge of accretion disk but 280km wide from edge to edge: don"t see the disk itself but the radiation coming off of it. Find the escape velocity (in km/s) from the planet jupiter which has a mass of 1. 9x1027kg and a radius of 7x107m.