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The luminosity of a certain normal galaxy (i.e. one where the supermassive black hole (SMBH) in...

The luminosity of a certain normal galaxy (i.e. one where the supermassive black hole (SMBH) in its heart is inactive) is 4 × 1010 solar luminosity. Suddenly the SMBH in the galaxy becomes active and starts accreting at the Eddington limit, thereby starting to emit at the Eddington luminosity for that SMBH. If during this phase the AGN becomes as luminous as the rest of the galaxy, what needs to be the mass of the SMBH?

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The luminosity of a certain normal galaxy (i.e. one where the supermassive black hole (SMBH) in...
The luminosity of a certain normal galaxy (i.e. one where the supermassive black hole (SMBH) in its heart is inactive) is 4 × 1010 solar luminosity. Suddenly the SMBH in the galaxy becomes active and starts accreting at the Eddington limit, thereby starting to emit at the Eddington luminosity for that SMBH. If during this phase the AGN becomes as luminous as the rest of the galaxy, what needs to be the mass of the SMBH?
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