Question

PROBLEMS TO COMPLETE FOR APPARENT MAGNITUDE—SHOW WORK HERE AND PUT ANSWERS ON WORKSHEET AT END OF THIS WORKSHEET. 1) The apparent magnitude of the Sun is -26.7 and Sirius is -1.52. How many times brighter is the Sun than Sirius? 2) On a certain evening, the apparent magnitude of Venus is – 4.3 and the apparent magnitude of Mars is -2.2. How many times brighter is Venus than Mars? 3) How many times brighter is Sirius at -1.52 magnitudes than a star that is 8.2? magnitude 4) How many times brighter is a Full Moon, with an apparent magnitude of -12.6, than a dim magnitude +12.6 galaxy?

Answer 1

1)The difference in magnitude= (26.7-1.52)= 25.18

The sun is (2.512)^(25.18) times brighter than the Sirius.

2)The difference in magnitude= (4.3-2.2)= 2.1

The Venus is (2.512)^(2.1) times brighter than the Mars.

=> The Venus is 6.92 time brighter than the Mars.

3) The difference in magnitude = (8.2+1.52)= 9.72

The Sirius is (2.512)^(9.72) times brighter than the star.

The Sirius is 7730.2 times brighter than the star.

4) The difference in magnitude= (12.6+12.6) = 25.2

The full moon is (2.512)^(25.2) times brighter than the dim galaxy.

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