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Topic 10 - Astrophysics

Topic 10 - Astrophysics. 10.6 - Magnitude. Assessment Statements. E.3.5 Describe the apparent magnitude scale. E.3.6 Define absolute magnitude. E.3.7 Solve problems involving apparent magnitude, absolute magnitude and distance.

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Topic 10 - Astrophysics

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  1. Topic 10 - Astrophysics 10.6 - Magnitude

  2. Assessment Statements E.3.5 Describe the apparent magnitude scale. E.3.6 Define absolute magnitude. E.3.7 Solve problems involving apparent magnitude, absolute magnitude and distance. E.3.8 Solve problems involving apparent brightness and apparent magnitude.

  3. Apparent Magnitude Apparent Magnitude • Apparent magnitude is the apparent brightness of a star. • When measured, it is found that the brightest star is about 100 times brighter than the dimmest. • Starting from the dimmest star, each step in magnitude is 2.512 times brighter than the previous. • If the apparent brightness of a star is b1and its apparent magnitude is m1, then it will be times less bright than a star of apparent magnitude 0 and brightness b0.

  4. Example. 1 • Polaris has an apparent magnitude of 1.99 and Betelgeuse 0.41. How much brighter is Betelgeuse than Polaris? Answer : = 4.3 Thus, Betelgeuse is 4.3 times brighter than Polaris.

  5. Absolute Magnitude (M) • The Absolute Magnitude is the magnitude of a star viewed a distance of 10 parsecs, • The apparent magnitude of a star depends on its distance from earth • If M is the magnitude of a star at 10 pc and m is its magnitude from earth then • The distance of stars from earth can also be calculated given their absolute and apparent magnitudes using the derived formula

  6. Example 2 2. Sirius has an apparent magnitude of -1.47 and an absolute magnitude of +1.4. Calculate the distance between Sirius and Earth. Answer: ∴ d = 2.7 pc

  7. Practice Questions There are a few more practice questions on pages 353 and 354 if you want more practice. If you need any help let me know.

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