Imagine that you are an astronomer studying a star 4 parsecs away (a parsec is 3.09x1016 m). You measure the flux coming from this star with your telescope, getting a value of 2.3x10-12 W m-². What is the luminosity of this star?
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- Calculate the size of a star if its surface temperature is 6000 K and has a power output of 5.6 x 1026 W.A star has a luminosity (power output) of 9.2x1026 W and a diameter of 6.1x108 m. What is its surface temperature? (Give your answer in SI units and include the units in your answer.)If a star has a surface temperature of 3000 K but a luminosity 150 times greater than our Sun, what size is this star? Give your answer in units of the solar radius, R.
- Sirius is the brightest star in the sky (but is located in the Southern hemisphere). It has a luminosity of 25.4 LSun and is 2.67 parsec away (1 parsec= 3.086 ×1016 m). What flux is received on Earth from Sirius? How manytimes smaller is this than the flux from the Sun?The total intensity of light measured on earth, from an ecliptic binary, is plotted in the figure as a function of time (it's called a light curve). Careful measurements indicate that the intensities of the incident light from the stars corresponding to the minima are respectively 90 and 63 percent of the maximum intensity, Io. temperatures of two stars in an eclipsing binary are T1 and T2 (T1 > T2), and the corresponding radii (R1 > R2), respectively. received from both stars.Surface аге R1 and R2 Find the ratio T1/T2. Round you answer to two significant figures. 1.0- 0.8 1/1o =0.90 0.6- 04- 1|1. =0.63 0.2 1.0 2.0 3.0 4.0 5.0 6.0 Time (days)A star is known to be moving at 8.93km/s toward the earth. If you observe the spectral line to be at 5.66nm, at what wavelength would you expect to measure the spectral line in a lab? Please give your answer in nanometers and include 3 digits.
- Suppose a star has a luminosity of 7.0x1026 watts and an apparent brightness of 4.0x10-12 watt/m?. How far away is it? Give your answer in both kilometers and light-years.The nearest star to the Sun is Proxima Centauri, a red dwarf star at a distance of 4.243 ly. Its surfacetemperature is estimated to 3042 K and its apparent magnitude is mbol = 7.77. What is the absolutemagnitude of Proxima Centauri?1 Solar constant, Sun, and the 10 pc distance! The luminosity of Sun is + 4- 1026 W - 4- 1033ergs-1, The Sun is located at a distance of m from the Earth. The Earth receives a radiant flux (above its atmosphere) of F = 1365W m- 2, also known as the solar constant. What would have been the Solar contact if the Sun was at a distance of 10 pc ? 1AU 1 1.5-+ 1011
- A main sequence star of mass 25 M⊙has a luminosity of approximately 80,000 L⊙. a. At what rate DOES MASS VANISH as H is fused to He in the star’s core? Note: When we say “mass vanish '' what we really mean is “gets converted into energy and leaves the star as light”. Note: approximate answer: 3.55 E14 kg/s b. At what rate is H converted into He? To do this you need to take into account that for every kg of hydrogen burned, only 0.7% gets converted into energy while the rest turns into helium. Approximate answer = 5E16 kg/s c. Assuming that only the 10% of the star’s mass in the central regions will get hot enough for fusion, calculate the main sequence lifetime of the star. Put your answer in years, and compare it to the lifetime of the Sun. It should be much, much shorter. Approximate answer: 30 million years.A star has a peak output at 440 nm and has a luminosity of 3 solar luminosities. What is its radius? (LS=3.826 X 1026 J/s)answer for 3