At the low temperatures found in some interstellar molecular clouds (around 100 K), molecular oxygen emission is stronge

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At the low temperatures found in some interstellarmolecular clouds (around 100 K), molecular oxygen emission isstrongest at a wavelength is 0.2521 cm. Determine the speed of amolecular cloud containing molecular oxygen if its strongestemission is at a wavelength of 0.1865 cm. Is this cloud movingtowards us or away from us? Why?
Most of the black holes observed by astronomers havemasses equal to a few solar masses (the result of the death of ahigh mass star) or have masses equal to several million solarmasses (found at the core of most galaxies). Recently, a thirdcategory of black hole has been observed with a mass between thesetwo extremes. Calculate the Schwarzschild radius (in meters) ofblack hole that has a total mass equal to 29 solarmasses.
Two stars have the same radius but have very differenttemperatures. the red star has a surface temperature of 3,400 k andthe blue star has a surface temperature of 14,600 K. By what factoris the blue star more luminous compared to the red star? The bluestar is ___ more lumincious.