If a contracting protostar is seven times the radius of the Sun and has a temperature of only 2030 K, how luminous will it be relative to the Sun? (Hint: Use the luminosity-radius-temperature relation: (L/L) = (R/R.)^2 (T/T.)^4 The surface temperature of the Sun is 5800 K.) (L/L.) = ?
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If a contracting protostar is seven times the radius of the Sun and has a temperature of only 2030 K, how luminous will it be relative to the Sun? (Hint: Use the luminosity-radius-temperature relation: (L/L) = (R/R.)^2 (T/T.)^4 The surface temperature of the Sun is 5800 K.)
(L/L.) = ?
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- . The radius of the nebula is about 0.401 light-years. The gas is expanding away from the star at a rate of about 37 kilometers/second . Considering that distance = velocity x time, calculate how long ago the gas left the star if its speed has been constant the whole time. Make sure you use consistent units for time, speed, and distance. Answer in years.If a neutron star has a radius of 13 km and a temperature of 9.0 x 10° K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation . Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is 3.83 × 1026 w.) luminosity in watts w luminosity in solar luminosity units LoNote: The answer should be typed. Asap
- A red giant star has a temperature of 3900 K and a luminosity of 13600 LSun. How many times bigger is this star than the Sun? Hint: You need the surface temperature of the sun for this problem. Use the value in the book, 5800K.A red giant that was originally a 9.5MSun main-sequence star loses a solar mass in 100,000 years via a superwind. What is this mass loss rate in units of solar masses per year? (the answer is not 0.000095 solar masses per year). Additionally, at this mass loss rate, what will the red giant's mass be after 0.5 million years? (Enter your answer as a multiple of MSun.)If a giant molecular cloud has a mass of 2.0 ✕ 1035 kg, and it converts 8 percent of its mass into stars during a single encounter with a shock wave, how many stars can it make? Assume the stars each contain 1 solar mass. (Hint: The mass of the Sun is 1.99 ✕ 1030 kg.)
- Suppose a protostar has a luminosity of 39,473 L⊙ and a surface temperature of 4,130 K (Kelvins). What is the radius of this protostar? [Enter your answer as a multiple of the Sun's radius. I.e., if you find R = 20 R⊙ , enter 20. This problem is easier if you start with the relevant equation and create a ratio using the Sun's values. Recall that the Sun has a surface temperature of 5778 K. ](Answer don't copy with hand written please)As a star runs out of hydrogen to fuel nuclear fusion in its core, changes within the star usually cause it to leave the main sequence, expanding and cooling as it does so. Would a star with a radius 12 times that of the Sun, but a surface temperature 0.5 times that of the Sun, be more, or less luminous than the Sun? Show and explain your reasoning. You may assume the surface area of a sphere is A = 4πr2.If a contracting prostar is 3 times the radius of the sun and has a temperature of 1680 k how lumminous will it be relative to the sun? Use luminosity radius temperature to the relation. The surface temperature of the sun is 5800k