Some globular star cluster consists of a million stars with an apparent magnitude of 21m and occupies an area of 1 square minute in the sky

Some globular star cluster consists of a million stars with an apparent magnitude of 21m and occupies an area of 1 square minute in the sky. Determine the integral stellar magnitude of the cluster and the surface brightness in magnitudes per square second.

Integral gloss 6 ^ m; surface brightness ~ 15 ^ m per square second.

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