Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 6, Problem 42QAP
To determine
The peak wavelength of
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Using Wien’s displacement law, what is the peak wavelength of Earth if its surface temperature is 300 K?
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What is the wavelength (in nm) of the most intense radiation emitted from the surface of Mercury at high noon? (Hint: Use Wien's law, Amax
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In which band of the electromagnetic spectrum is that wavelength? (Hint: Examine the following figure.)
Visible light
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Infrared
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Opacity of
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Jupiters exosphere has a temperature of about 870.0K what is the thermal speed of hydrogen (in km/s) in Jupiter's exosphere? The mass of a hydrogen atom is 1.67 x 10-27 kg and Boltzmann constant is k= 1.38 x10 -23 Joule/Kelvin
Chapter 6 Solutions
Understanding Our Universe
Ch. 6.1 - Prob. 6.1CYUCh. 6.2 - Prob. 6.2CYUCh. 6.3 - Prob. 6.3CYUCh. 6.4 - Prob. 6.4CYUCh. 6.5 - Prob. 6.5CYUCh. 6 - Prob. 1QAPCh. 6 - Prob. 2QAPCh. 6 - Prob. 3QAPCh. 6 - Prob. 4QAPCh. 6 - Prob. 5QAP
Ch. 6 - Prob. 6QAPCh. 6 - Prob. 7QAPCh. 6 - Prob. 8QAPCh. 6 - Prob. 9QAPCh. 6 - Prob. 10QAPCh. 6 - Prob. 11QAPCh. 6 - Prob. 12QAPCh. 6 - Prob. 13QAPCh. 6 - Prob. 14QAPCh. 6 - Prob. 15QAPCh. 6 - Prob. 16QAPCh. 6 - Prob. 17QAPCh. 6 - Prob. 18QAPCh. 6 - Prob. 19QAPCh. 6 - Prob. 20QAPCh. 6 - Prob. 21QAPCh. 6 - Prob. 22QAPCh. 6 - Prob. 23QAPCh. 6 - Prob. 24QAPCh. 6 - Prob. 25QAPCh. 6 - Prob. 26QAPCh. 6 - Prob. 27QAPCh. 6 - Prob. 28QAPCh. 6 - Prob. 29QAPCh. 6 - Prob. 30QAPCh. 6 - Prob. 31QAPCh. 6 - Prob. 32QAPCh. 6 - Prob. 33QAPCh. 6 - Prob. 34QAPCh. 6 - Prob. 35QAPCh. 6 - Prob. 36QAPCh. 6 - Prob. 37QAPCh. 6 - Prob. 38QAPCh. 6 - Prob. 39QAPCh. 6 - Prob. 40QAPCh. 6 - Prob. 41QAPCh. 6 - Prob. 42QAPCh. 6 - Prob. 43QAPCh. 6 - Prob. 44QAPCh. 6 - Prob. 45QAP
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- Venus' exosphere has a temperature of about 404 K. What is the thermal speed of hydrogen (in km/s) in Venus' exosphere? The mass of a hydrogen atom is 1.67 x 10-27 kg and Boltzmann's constant is k = 1.38 × 10-23 Joule/Kelvin.arrow_forwardVenus exosphere has a temperature of about 347 K. What is the thermal speed of hydrogen in km/s in Venus exosphere? The mass of hydrogen atom is 1.67 x10-27 kg and Boltzmann constant is k=1.38 x10-23 Joule/Kelvinarrow_forwardOn the night side of Venus, we find that the brightest wavelength, that is the wavelength this region of the planet is emitting the most energy, is about 3.9 micrometres (3.9x10-6 meters). Approximately how warm is the planet in this region?arrow_forward
- You decide to go on an interstellar mission to explore some of the newly discovered extrasolar planets orbiting the star ROTOR. Your spacecraft arrives in the new system, in which there are five planets. ROTOR is identical to the Sun (in terms of its size, mass, age and composition). From your observations of these planets, you collect the following data: Density Average Distance from star (AU] Planet Mass Radius Albedo Temp. [C] Surf. Press. MOI Rotation [Earth = 1] (Earth = 1] [g/cm³] [Atm.] Period (Hours] Factor SIEVER EUGENIA 4.0 0.001 2.0 0.1 5.0 1.0 0.3 20 0.8 N/A 3.0 0.2 N/A 0.3 0.4 0.35 20 10 500 1000 5.0 4.0 0.5 0.8 0.4 0.7 -50 MARLENE CRILE 1.0 1.0 3.0 8.0 1,5 0.0 0.50 0.50 0.25 150 0.4 JANUS 100 12 0.1 10 -80 0.2 200 Figure 1: А Rotor 850 890 900 Wavelength (nm) A Sun В C 860 900 910 Wavelength (nm) 2414 a asarrow_forwardThe fraction of the energy flux received which is reflected into space is the albedo of Venus, av, which is about 0.76. The fraction of the energy flux which is absorbed is then (1-av) = 1. - 0.76 = 0.24. So the amount of energy actually absorbed by Venus in each second is Lv = (1-av)Ev. Lv = (1-av)Ev = ___________________ ergs/s And next calculate the effective temperature of Venus: Tv4 = (Lv/(4pdv2))/s = Lv/(4spdv2) = __________________ K4 and taking the square root of Tv4 twice in succession we get the effective Temperature Tv: Tv = [Lv/(4spdv2)]0.25 = _________________ K Calculate Venus' emittance assuming that the Venus' actual temperature, Tvr, is 472o C = 745 K: ev = Lv/(4pdv2s Tvr4) = __________________ .arrow_forwardJupiter's exosphere has a temperature of about 780.0 K. What is the thermal speed of hydrogen (in km/s) in Jupiter's exosphere? The mass of a hydrogen atom is 1.67 x 10-27 kg and Boltzmann's constant is k = 1.38 × 10-23 Joule/Kelvin.arrow_forward
- Calculate the total amount of radiative energy per second intercepted by Mars from the Sun using the flux of radiation from the Sun at Mars' orbital radius. Flux of radiation from the Sun at Mars' orbital radius is 597 W m-2. The luminosity of the Sun Ls = 3.8×1026 W. Mars orbits at a distance of 2.25×1011 m (1.5 AU) from the Sun. Note: Consider carefully the cross-sectional area Mars presents to the outwards flow of radiative energy when answering this question.arrow_forwardConsider the greenhouse effect in an atmosphere model consisting of two infrared-opaque layers. Find the temperatures of both layers and the temperature of the planet's surface.arrow_forwardThe incoming solar energy for the planet is 245 W/m2. What is the outgoing energy from the surface (arrow c)?arrow_forward
- Earths daylight surface disk absorbs about 1045 W per m2 from the Sun. Using 6400 km for the Earths radius, how much of this radiative power is emitted by each square meter of the spherical Earth ?arrow_forwardSolar scientists want to measure the temperature inside the sun by sending in probes. Imagine that temperature increases by 1 million◦C for every 10,000 km below the surface. A probe that can handle a temperature of x million degrees costs x³ million dollars. a. How much would it cost to measure the temperature 10,000 km down? b. How much would it cost to measure the temperature 100,000 km down? c. How much would it cost to measure the temperature 200,000 km down?arrow_forwardWhat is the wavelength (in nm) of the most intense radiation emitted from the surface of mercury at high noon? (Hint: use Wiens law) _______ nm In which band of the electromagnetic spectrum is that wavelength? A: gamma ray B:X-ray C: ultraviolet D: visual E: infrared F: microwave G: radioarrow_forward
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