An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter 7.4, Problem 54P
(a)
To determine
The radius of Sirius A compare to the sun’s radius.
(b)
To determine
The radius of Sirius B compare to the sun’s radius.
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The sun is the only star whose size we can easily measure directly; astronomers therefore estimate the sizes of other stars using Stefan's law.
The spectrum of Sirius A, plotted as a function of energy, peaks at a photon energy of 2.4 eV, while Sirius A is approximately 24 times as luminous as the sun. How does the radius of Sirius A compare to the sun's radius?
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Your research team analysis the light of a mysterious object in space. By using a spectrometer,you can observe the following spectrum of the object. The Hα line peak is clearly visible. Answer the questions from given graph
(a) Mark the first four spectral lines of hydrogen (Hα, Hβ, Hγ, Hδ) in the spectrum.(b) Determine the radial velocity and the direction of the object’s movement.(c) Calculate the distance to the observed object.(d) What possible type of object is your team observing?
Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A cloud of gas has a temperature of 5,000 K. Estimate the width of the hydrogen H-alpha line with an intrinsic wavelength λ = 656 nm. (Note: the typical velocity of hydrogen atoms in a gas with temperature T is about (kT/mH)1/2, where k is Boltzmann constant and mH is the mass of a hydrogen atom, which is approximately the mass of a proton).arrow_forwardAn astronomer might observe in the Milky Way Galaxy have radial velocities as high as 500 km/s ( 5.00 × 102 km/s). What change in wavelength would this cause in the Balmer-beta line?arrow_forwardA star has the peak of its blackbody spectrum occur at a wavelength of 284 nm. What is its temperature? Hint: The rest wavelength of H-alpha is 656 nm.arrow_forward
- Choose the correct statements concerning the elec- tromagnetic spectrum given off by stars. (Give ALL correct answers, i.e., B, AC, BCD...)A) If we see a blue star and a red star in a nearby star cluster, we know the red star is hotter.B) Blue photons are more energetic than red photons.C) Hot stars are much brighter than cool stars of the same size and distance from the Earth.D) Blue photons (blue light) have a longer wavelength than red photons.E) A hot star will be more red in color than a cooler star. F) All stars are the same color as our Sun.arrow_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_forward(a) The colour temperature can be determined from two magnitudes corresponding to two different wavelengths. Show that: 7000 K Te (B-V)+0.47 The wavelengths ofthe B and V bands are 440 nm and 548 nm, respectively, and we assume that B=V for stars of the spectral class A0, the colour temperature of which is about 15000 K°. (Take constant value - 0.73 and e-2.718).arrow_forward
- If a star has a surface temperature of 5000 K what will the maximum wavelength emitted by the star be?arrow_forwardWhat 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.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
- The Hα spectral line has a rest wavelength of 6562.8 ˚A (remember: 1 ˚A = 10−10 m). In star A, the lineis seen at 6568.4 ˚A, in star B it’s seen at 6560.3 ˚A, and in star C it’s seen at 6562.8 ˚A. Which star ismoving the fastest (along the line of sight) and what is the radial velocity of each star?arrow_forwardThe bright star Sirius A has a diameter 1.6 times the sun’s and surface temperature 9600 K. (a) What is the peak wavelength of radiation emitted from the surface? (Note: Sirius has a distinctive blue tint when viewed with the naked eye.) (b) Find the net power output from the surface of Sirius A and compare with that from the sun.arrow_forwardA)The star 58 Eridani is a feint but naked-eye star similar to the Sun. Suppose that you are observing this star in the night sky without a telescope. Ignoring any interstellar extinction or atmospheric absorption, approximately how many photons per second arrive at your retina? Show all steps in calculation . B) The Mid-infared Instrument (MIRI , camera and spectrograph ) on the James Webb Space Telescope operates in the band 5-28 µm . For 58 Eridani , approximatley how many photons per second can be used by this instrument ? Assume that MIRI takes all the photons from the full JWST mirror . Show all steps in calcultation . Describe breifly two or three other factors which play a role in determining the sensetivitu of an instrument such as MIRI ?arrow_forward
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