Black holes radiate emission through Hawking radiation: (a) Calculate the luminosity (in W) of a 100 solar mass black hole? (b) Calculate the fractional differences in temperature and luminosity between a 100 and 10 solar mass black hole? (c) Calculate the mass of a black hole which has peak radiation at optical wavelength (500 nm)?

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Black holes radiate emission through Hawking radiation:

(a) Calculate the luminosity (in W) of a 100 solar mass black hole?

(b) Calculate the fractional differences in temperature and luminosity between a 100 and 10 solar mass black hole?

(c) Calculate the mass of a black hole which has peak radiation at optical wavelength (500 nm)? 

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