COLLEGE PHYSICS,V.2
11th Edition
ISBN: 9781305965522
Author: SERWAY
Publisher: CENGAGE L
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Question
Chapter 27, Problem 1P
(a)
To determine
The surface temperature of Betelgeuse.
(b)
To determine
The surface temperature of Rigel.
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A star such as our Sun will eventually evolve to a “red giant” star and then to a “white dwarf” star. A typical white dwarf is approximately the size of Earth, and its surface temperature is about 2.4 × 104 K. A typical red giant has a surface temperature of 3.2 × 103 K and a radius ~90000 times larger than that of a white dwarf. Take the radius of the red giant to be 6 × 1010 m.
What is the average radiated power per unit area of the red giant?_________W/m2
What is the average radiated power per unit area of the white-dwarf?________W/m2
What is the total power radiated by the red giant? _________W
What is the total power radiated by the white dwarf? ________W
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Imagine a planet orbiting a star.
Observations show a Doppler shift in the
star's spectrum of 66 m/s over the 4.5 day
orbit of the planet. What is the mass of the
planet in kg? Assume the star has the same
mass as the Sun (2.0 x 1030 kg), there are
365.25 days in a year, and 1AU = and 1.5 x
1011 m.
The temperature of a star is 4990 K. Calculate the power per unit area radiated by the star
in 519 nm to 525 nm range.
(a) 0.230 MW/m
(b) 0.384 MW/m
(c) 0.390 MW/m2
(d) 0.220 MW/m2
Chapter 27 Solutions
COLLEGE PHYSICS,V.2
Ch. 27.5 - Prob. 27.1QQCh. 27.5 - Prob. 27.2QQCh. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQ
Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 9CQCh. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - Prob. 13CQCh. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41APCh. 27 - Prob. 42APCh. 27 - Prob. 43APCh. 27 - Prob. 44APCh. 27 - Prob. 45APCh. 27 - Prob. 46APCh. 27 - Prob. 47APCh. 27 - Prob. 48APCh. 27 - Prob. 49APCh. 27 - Prob. 50APCh. 27 - Prob. 51APCh. 27 - Prob. 52AP
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- Imagine a planet orbiting a star. Observations show a Doppler shift in the star's spectrum of 58 m/s over the 3.3 day orbit of the planet. What is the mass of the planet in kg? Assume the star has the same mass as the Sun (2.0 x1030 kg), there are 365.25 days in a year, and 1AU = 1.5 x 1011 m.arrow_forwardYou can estimate a star’s radius R(meters) by its luminosity L(Watts) and its surface temperature T(Kelvin) using L = 4πR2σT4, where σ = 5.670 × 10−8 (Wm−2K−4) is the Stephen-Boltzmann constant. Perform a first order error analysis (approximate the error in the function) of an estimate of a star’s radius when L = 9.273×1027W, ∆L = ±0.05L,T = 9400K, ∆T = ±0.02T. Calculate both the error and relative percent error.arrow_forwardA blue supergiant star has a radius of 7.4 x 1010 m. The spherical surface behaves like a blackbody radiator. If the blue supergiant star radiates an energy rate of 1.29 × 1033 w, what would be its surface temperature (in °C)? The Stefan-Boltzmann constant is 5.67 × 10-8 w/(m2 . K4).arrow_forward
- The sun has a luminosity of 3.9 × 1026 W and an angular diameter of θ = 32 arc mins. Assume that the sun is a blackbody. What is its physical radius and its effective temperature?arrow_forwardBarnard’s star is an orange star in the constellation Ophiuchus. It has the largest known proper motion (10.3577"/yr) and the fourth-largest parallax angle (0.54901"). In the spectrum of this star, the H alpha line is observed to have a wavelength of 656.034 nm when measured from the ground. a. Determine the radial velocity of Barnard’s star. b. Determine the transverse velocity of Barnard’s star. c. Calculate the speed of Barnard’s star through space.arrow_forwardWhat is the rate of thermal radiation emitted from a star with a radius of 2.310 x 109 m anda surface temperature of 8,420 K? Assume that the spherical surface behaves as a blackbody radiator.[Surface Area of a sphere = 4rr?: Area of a circle = Mr? or (Tt/4)d21arrow_forward
- The temperature of a star can be determined from Amax, the wavelength of radiation that the star emits most intensely. The wavelength, λmax, is given for several stars in the table below. Star Antares λmax 934 nm Canopus 397 nm Regulus 223 nm The Sun 502 nm Vega 311 nm Based on their most intensely emitted wavelengths as presented in the table in the problem statement, rank the following stars in order of increasing surface temperature Antares Canopus Regulus The Sun Vega Increasing Surface Temperaturearrow_forwardThe temperature of the sun is approximately 5800 K and the temperature of the star Sirius A, the larger star of the Sirius via art, is approximately 10,000 K. The luminosity of Sirius A is about 33 times than Sun. The radiation law gives L=4(3.14) R^2 a T^4 By taking the ratio of the luminosities of Sirius A to the Sun, the relative values of luminosity and temperature can be used to determine the relative value of radius. What is the multiples of the Sun’s radius?arrow_forwardMany of the bright stars in the night sky are highly luminous normal blue stars (such as Acrux), and others are blue giants (such as Rigel) or red giants (such as Betelgeuse). Generally, such stars have a luminosity of 103 to 105 times that of our Sun! Ignoring any effects from our atmosphere, how bright would a star with a luminosity of 8380 solar luminosities be if it were located 620 light years from Earth? (You will need to convert some values.) W/m² For comparison, if you were 1 meter from a regular 100 W light bulb, the brightness would be 7.96 W/ m². (Since stars are not this bright, your answer should be considerably less!) Kind of amazing you can see these things, isn't it?arrow_forward
- (a) The star Betelgeuse emits radiation with a peak wavelength of 807 nm. What is its surface temperature (in K)? (Assume the star behaves like a blackbody.) (b) The star Adhara emits radiation with a peak wavelength of 127 nm. What is its surface femperature (in K)? (Assume the star behaves like a blackbody.) Need Help? Read Itarrow_forwardProblem 3: Two stars, M and N, from the same galaxy (at the same distance from earth) are observed to have the same luminosity (that is, they emit the same amount of energy per unit time). Star M is red, its spectrum peaks 2.4 × 1015s-1 while star N is white, its spectrum peaks at w = 3.6 x 1015s-1. Assuming that both stars radiate as black body, what is the at w = ratio of their radii?arrow_forwardA star has a measured radial velocity of 100 km/s. If you measure the wavelength of a particular spectral line of Hydrogen as 486.42 nm, what was the laboratory wavelength (in nm) of the line? (Round your answer to at least one decimal place.) Which spectral line does this likely correspond to? Balmer-alpha (656.3 nm) Balmer-beta (486.1 nm) Balmer-gamma (434.0 nm) Balmer-delta (410.2 nm)arrow_forward
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