White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 106 g/cm?. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass/volume, and the volume of a4sphere is Tr.)3kmCompare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?I Table A-10 I Properties of the PlanetsORBITAL PROPERTIESSemimajor Axis (a)Orbital Period (P)Average OrbitalVelocity (km/s)OrbitalInclinationPlanet(AU)(106 km)(v)(days)Eccentricityto EclipticMercury0.38757.90.24188.047.90.2067.0°Venus0.7231080.615224.735.00.0073.4°Earth1.001501.00365.329.80.017Mars1.522281.88687.024.10.0931.8°Jupiter5.2077911.9433213.10.0491.30Saturn9.58143329.510,7599.70.0562.5°30,79960,190Uranus19.23287784.36.80.0440.8°Neptune* By definition.30.104503164.85.40.0111.8°PHYSICAL PROPERTIES (Earth = e)SurfaceGravity(O = 1)SiderealInclinationAverageDensity(g/cm)EscapeVelocity(km/s)Equatorial RadiusMassPeriod ofof Equatorto OrbitPlanet(km)(O = 1)(O = 1)RotationMercury24400.3830.0555.430.384.258.6d0.0°Venus60520.9500.8155.200.9010.5243.0d177.3°Earth63781.001.0005.521.0011.223.93h23.4°Mars33960.5330.1073.930.385.024.62h25.2°Jupiter71,49211.213181.332.5359.59.92h3.1°Saturn60,2689.4595.20.691.0635.510.57h26.7°Uranus25,5594.0114.51.270.8921.317.24h97.8°Neptune24,7643.8817.11.641.1423.516.11h28.3°

It is given that, M=0.98 solar mass=0.98×1.989×1030 kg=1.95×1030 kgρ=2×106 g/cm3=2×106×103…

White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 106 g/cm3. Find the radius of the white dwarf in km to three significant digits. (Hint: Density - mass/volume, and the volume of a sphere is r.) km Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?

White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 106 g/cm3. Find the radius of the white dwarf in km to three significant digits. (Hint: Density - mass/volume, and the volume of a sphere is r.) km Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?

Foundations of Astronomy (MindTap Course List)

14th Edition

ISBN:9781337399920

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter11: The Formation And Structure Of Stars

Section: Chapter Questions

Problem 9RQ

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(Astronomy) (Part A) White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 × 106 g/cm3. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass⁄volume, and the volume of a sphere is 4/3πr3). (Part B) Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?
H5. A star with mass 1.05 M has a luminosity of 4.49 × 1026 W and effective temperature of 5700 K. It dims to 4.42 × 1026 W every 1.39 Earth days due to a transiting exoplanet. The duration of the transit reveals that the exoplanet orbits at a distance of 0.0617 AU. Based on this information, calculate the radius of the planet (expressed in Jupiter radii) and the minimum inclination of its orbit to our line of sight. Follow up observations of the star in part reveal that a spectral feature with a rest wavelength of 656 nm is redshifted by 1.41×10−3 nm with the same period as the observed transit. Assuming a circular orbit what can be inferred about the planet’s mass (expressed in Jupiter masses)?
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You've just discovered a new X-ray binary, which we will call Hyp-X1 ("Hyp" for hypothetical). The system Hyp-X1 contains a bright, B2 main-sequence star orbiting an unseen companion. The separation of the stars is estimated to be 21 milion kilometers, and the orbital period of the visible star is 3 days. (a) Use Newton's version of Kepler's third law to calculate the sum of the masses of the two stars in the system. (Hinr. See Mathematical Insight Measuring Stellar Masses in the textbook) Give your answer in both kilograms and solar masses MS-2.0 x 10^30 kg) Express your answer in kilograms to two significant figures. (b) Express your answer as a multiple of Sun's mass to two significant figures. (c) Determine the mass of the unseen companion.(Hint A main-sequence star with spectral type B2 has a mass of about 10 MSun) Express your answer as a multiple of Sun's mass to two significant figures.
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