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(1) As the Sun evolved towards the main sequence, it contracted under gravity while
remaining close to hydrostatic equilibrium, and its internal temperature changed from
about 30,000 K to about 6 × 10^6 K. Estimate the change in stellar radius during the Sun’s contraction.
(2)Consider a binary system in which matter accreting onto a compact object leads to a luminosity equal to 10^31 W. Show that if the compact object is a white dwarf then it radiates in the ultraviolet, but if it is a neutron star then it radiates in the X-ray region.
remaining close to hydrostatic equilibrium, and its internal temperature changed from
about 30,000 K to about 6 × 10^6 K. Estimate the change in stellar radius during the Sun’s contraction.
(2)Consider a binary system in which matter accreting onto a compact object leads to a luminosity equal to 10^31 W. Show that if the compact object is a white dwarf then it radiates in the ultraviolet, but if it is a neutron star then it radiates in the X-ray region.