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Using the date in the table, calculate the masses of the listed stars using the

ID: 284687 • Letter: U

Question

Using the date in the table, calculate the masses of the listed stars using the mass-luminosity relationship equation. Put the values in the first column of a table, following star name. M = (L)^1/3.5 Using Wien's law, calculate the surface temperatures in Kelvin for each of the listed stars. Place the values in a second column of a table. T = 3,000,000/lambda_max Express each of these temperatures in terms of the Sun's temperature by dividing them by 6000. Place the values in a third column of a table. Now calculate the radii of the stars using the stellar radius relationship, and place the values in the fourth column of a table. R = Squareroot L/T4 Given that the Earth orbits about 109 times the Sun's radius away from the Sun, if each of the stars was to replace the Sun, would the Earth be inside the star? Answer this with yes or no in the fifth column of a table.

Explanation / Answer

MASS LUMINOSITY RELATIONSHIP AND CALCULATING STELLAR RADII NAME OF THE STAR LUMINOSITY (SUN-1) PEAK WAVELENGTH (nm) MASS SURFACE TEMP. (K) SUN's TEMP. RADII OF STAR ANTARES A (a Sco A) 550 930 1925.096255 3225.806452 0.537634409 41.59 NO ARCTURUS (a B00) 115 690 402.520126 4347.826087 0.724637681 30.85 NO BARNARD's STAR (in Oph) 0.00045 1200 0.001575079 2500 0.416666667 53.66 NO BETELGEUSE (a Ori) 14000 930 49002.45012 3225.806452 0.537634409 41.59 NO CANOPUS (a Car) 1510 410 5285.264263 7317.073171 1.219512195 18.33 NO FOMALHAUT (a PsA) 13.8 310 48.30241512 9677.419355 1.612903226 13.86 NO POLLUX ( B Gem) 41.7 650 145.9572979 4615.384615 0.769230769 29.06 NO RIGEL KENTAURUS A (a Cen A) 1.56 480 5.460273014 6250 1.041666667 21.46 NO RIGEL A (B Ori A) 46000 240 161008.0504 12500 2.083333333 10.73 NO SPICA (a Vir) 2400 110 8400.420021 27272.72727 4.545454545 4.91 NO VEGA (a Lyr) 55 290 192.5096255 10344.82759 1.724137931 12.96 NO WOLF359 (in Leo) 0.000018 1200 6.30032E-05 2500 0.416666667 53.66 NO

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