21st Century Astronomy (sixth Edition)
6th Edition
ISBN: 9780393675504
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton & Company
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Chapter 15, Problem 36QP
To determine
The temperature of Nebulae.
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A 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).
What is the wavelength in micrometers of peak emission for a black body at 33.5°C? (c = 3.0 × 108 m/s, Wien displacement law constant is 2.9 × 10-3 m ∙ K, σ = 5.67 × 10-8 W/m2 ∙ K4). Please give your answer with one decimal place.
The sun has a radius of 6.959 × 108 m and a surface temperature of 5.81 x 10° K.
When the sun radiates at a rate of 3.91 x 1026 W and is a perfect emitter. What is
the rate of energy emitted per square meter? Stefan-Boltzmann constant is 5.67 x
10-8 J/s-m2 K4
a)
5.6 x 107 W/m2
b) 12.8 x 107 W/m2
c)
6.4 x 107 W/m2
25.6 x 107 W/m2
5.6 x 1017 W/m2
Chapter 15 Solutions
21st Century Astronomy (sixth Edition)
Ch. 15.1 - Prob. 15.1CYUCh. 15.2 - Prob. 15.2CYUCh. 15.3 - Prob. 15.3CYUCh. 15.4 - Prob. 15.4CYUCh. 15 - Prob. 1QPCh. 15 - Prob. 2QPCh. 15 - Prob. 3QPCh. 15 - Prob. 4QPCh. 15 - Prob. 5QPCh. 15 - Prob. 6QP
Ch. 15 - Prob. 7QPCh. 15 - Prob. 8QPCh. 15 - Prob. 9QPCh. 15 - Prob. 10QPCh. 15 - Prob. 11QPCh. 15 - Prob. 12QPCh. 15 - Prob. 13QPCh. 15 - Prob. 14QPCh. 15 - Prob. 15QPCh. 15 - Prob. 16QPCh. 15 - Prob. 17QPCh. 15 - Prob. 18QPCh. 15 - Prob. 19QPCh. 15 - Prob. 20QPCh. 15 - Prob. 21QPCh. 15 - Prob. 22QPCh. 15 - Prob. 23QPCh. 15 - Prob. 24QPCh. 15 - Prob. 25QPCh. 15 - Prob. 26QPCh. 15 - Prob. 27QPCh. 15 - Prob. 28QPCh. 15 - Prob. 29QPCh. 15 - Prob. 30QPCh. 15 - Prob. 31QPCh. 15 - Prob. 32QPCh. 15 - Prob. 33QPCh. 15 - Prob. 35QPCh. 15 - Prob. 36QPCh. 15 - Prob. 37QPCh. 15 - Prob. 38QPCh. 15 - Prob. 39QPCh. 15 - Prob. 40QPCh. 15 - Prob. 41QPCh. 15 - Prob. 42QPCh. 15 - Prob. 43QPCh. 15 - Prob. 44QPCh. 15 - Prob. 45QP
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- 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_forwardImagine 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_forward
- What is the rate of thermal radiation Emitted from a star with a radius of 2.310 x 10⁹m and a surface temperature of 8,420k? Assume that the spherical surface behaves as blackbody radiator .arrow_forwardConsider a star for which the stellar power per unit area at distance 1 AU from the star is 3.7 kW/m^2. Assume the radius of the star is 0.005 AU (similar to Sol). What is the surface temperature of the star?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
- 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-+ 1011arrow_forwardJupiter radiates more energy than it receives from the Sun by 8.7 x10-10 LO. Jupiter's radius is 7.1 x109 cm and its mass is 1.9 ×1030 g. Compute its dynamical and thermal timescales. (b) Can we assume that Jupiter is in hydrostatic equilibrium? (c) Could gravitational contraction have powered Jupiter's luminosity for its entire 4.5 Gyr lifetime? (d) Use conservation of energy to estimate the rate at which Jupiter's radius is shrinking to power this radiation. You may ignore the factor of order unity that arises from Jupiter's unknown density distribution.arrow_forwardThe 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/m2arrow_forward
- An interstellar cloud is observed at a wavelength of 2.898 µm. Estimate the temperature of the cloud.arrow_forwardSuppose we detect red photons at 656 nm emitted by electrons dropping from the n = 3 to the n = 2 orbital in hydrogen. The hydrogen is in an interstellar cloud at 5000k. If the cloud were heted to 10000 K, what would be the wavelength of the photons emitted by the transition? a) 328 nm b) 656 nm c) 1312 nm d) 658 nm e) 654 nmarrow_forwardIf the emitted infrared radiation from Pluto, has a wavelength of maximum intensity at 75,000 nm, what is the temperature of Pluto assuming it follows Wien’s law?arrow_forward
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