Question

Problem 6. (extra credit) [Two suns in the sunset. Type la supernova (also called the white dwarf supernova) has maximum luminosity Lsn equal to 5 billion solar luminosities Lsn = 5*10°Lsun. Consider the hypothetical scenario with supernova which appears in our sky to be as bright as the sun. In other words, the flux of radiation from the supernova on Earth is equal to the flux or radiation from the Sun at the distance Sun-Earth. Note that the equation for the flux o as a function of luminosity L and distance d is o L 47d2 You already know the distance Sun-Earth, and you know the relevant luminosities. By setting the flux from the supernova to be equal to the flux from the Sun, find the distance to the supernova. Express that distance in light years. Are there any stars within that distance from the solar system? Is this hypothetical scenario realistic?

Answer 1

do 6) ao orthen Po the If the sun luminosity ist 2 sun. distance of the Sun s earth is do beux recived out the Sun G earth due to sun is CLOSL Lo = L sun un do 0 Now buix of radiction from the supernova the antes or Lon Earth is equal to radiation from the Sun at the distance sun. Earth. wie considen stire distane out the supernova, is d. The ginen luminosities & Lsu = 5x10 CU est to probello - 66109 Lon flux recived out on the conth due to this supernora is Lso Now 9 Lsun U QEN urid² are equal 1) + ( ) LSN =) ASN = url do? 4 rd2 LSN 2 do १/२ LO 12 do d - LSN To 1/2 do do = IAU Astronomical unit is distan between Sun 8 caith. (5M109) 70, 710.6 AU 70710.671150108 km 1.06x1013 am = 1

do 6) ao orthen Po the If the sun luminosity ist 2 sun. distance of the Sun s earth is do beux recived out the Sun G earth due to sun is CLOSL Lo = L sun un do 0 Now buix of radiction from the supernova the antes or Lon Earth is equal to radiation from the Sun at the distance sun. Earth. wie considen stire distane out the supernova, is d. The ginen luminosities & Lsu = 5x10 CU est to probello - 66109 Lon flux recived out on the conth due to this supernora is Lso Now 9 Lsun U QEN urid² are equal 1) + ( ) LSN =) ASN = url do? 4 rd2 LSN 2 do १/२ LO 12 do d - LSN To 1/2 do do = IAU Astronomical unit is distan between Sun 8 caith. (5M109) 70, 710.6 AU 70710.671150108 km 1.06x1013 am = 1

1 light year 2 9.4 6 Lo 12 km 2 SH 0.946 xlo distane out the 13 km Supanora as sro 1.12 dy inne distane 5100 so about The nearest Stan to Earth is about of bow 4:37, ly on the super nona 1r 12 dy probably in rolloid wtbetuyen them then have no any et de tuwa eurother star weberrol yes this hypo theticant as realistic because elts of the best inlay to masere & the listame of the sasha othe galley, lovloor M on

1 light year 2 9.4 6 Lo 12 km 2 SH 0.946 xlo distane out the 13 km Supanora as sro 1.12 dy inne distane 5100 so about The nearest Stan to Earth is about of bow 4:37, ly on the super nona 1r 12 dy probably in rolloid wtbetuyen them then have no any et de tuwa eurother star weberrol yes this hypo theticant as realistic because elts of the best inlay to masere & the listame of the sasha othe galley, lovloor M on