A certain star's power output is 2.9 x 1026 W. Assuming an ideal radiator with e = 1, calculate its radius in km if its temperature is 5,720 K. The Stefan-Boltzmann constant is 5.67 x 10-8 W/(m².K4).

A certain star's power output is 2.9 x 1026 W. Assuming an ideal radiator with e = 1, calculate its radius in km if its temperature is 5,720 K. The Stefan-Boltzmann constant is 5.67 x 10-8 W/(m².K4).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Satellites are typically powered by solar panels. Using the results of a Chp 2 homework problem,…

A: We are strictly following the data given in the question: Solar power per unit area = 1381.465…

Q: What is the rate of thermal radiation emitted from a star with a radius of 2.310 x 109 m and a…

Q: B2. A spherical star is detected by an astronaut in a spacecraft at a distance z of 1.5×10¹2…

Q: The partition function of an ensemble at a temperature T is N z = (2 cosh)" kgT where kg is the…

Q: The emissivity of the human skin is 97.0 percent. Use 35.0 °C for the skin temperature and…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The surface temperature of Sun is about 6000 K. If we consider the Sun as a black body, what is the…

Q: Suppose someone is running a fever of 102.0° F (average being 98.6° F). How much more power (in…

A: The intensity of the radiation emitted by a hot body can be given by Stefan Boltzmann law as, Here,…

Q: What is the rate of thermal radiation emitted from a star with a radius of 4.11 x 109 m and a…

A: A blackbody is considered as an ideal physical body which will absorb and emit all the radiations…

Q: Let the energy density in the frequency interval f to f + df within a blackbody at temperature T be…

A: Let the frequency be given by f and the temperature of the black-body is given by T. Let the average…

Q: The total power radiated per unit area from a blackbody is 78.0 MW/m2. Find (a) the temperature of…

A: Power per unit area, P = 78 MW/m2

Q: if the power radiated is equal to 0.08 watt/cm^2 what will be the temperature of the skin so as to…

Q: A perfect black body has its surface temperature 27 cº Determine : Maximum radiation wavelength?…

Q: The Sun radiates almost like a perfect blackbody at a temperature of T- 5800 K. a) Show, using the…

A: Given that:Temperature of Sun: T=5800 Kmass of person, m=70 kg (spherical in shape)Known:Density of…

Q: Spaceman Spiff is flying his spacecraft near a neutron star. Assuming the star is located at (0, 0,…

A: The temperature at a point is given by T=5.0×106 e-3x2-3y2-3z2 The temperature gradient is…

Q: A blackbody at room temperature (T = 300K) emits 320 W. If the same blackbody emits 20 W, then what…

Q: 6.1.5. Radiation has been detected from space that is characteristic of an ideal radiator at T =…

A: The Planck distribution function is given by,

Q: A small particle of initial temperature 200 K is placed at the centre of a larg temperature 0 K. At…

Q: Diameter of the disc = 110.3 mm Radius of the disc, r = .... .mm Area of disc = n r² = ....…

A: Given data- Diameter=110.3 mm Radius, r=Diameter2=55.15mm=5.515 cmArea A=πr2=95.50 cm2Mass of the…

Q: Three plates are in thermal equilibrium. The left and right plates are blackbodies and emit only…

A: Given in the question there are three plates. Given the plates on the left and the right are…

Q: The power radiated by a black body in P and it radiated maximum energy at wavelength, Ao . If the…

Q: The surface temperature of the sun is approximately 5,800 K. However, stars can be much hotter. WR…

Q: What is the vrms of hydrogen on the surface of the sun if its temperature is 5.36E3 degC? What is…

A: given that,M=1 gmol=10-3 kgmolT=5360 °C =5633 KR=8.314 Jmol K

Q: A star has a surface area of 6.99x1018 m2. How much power does it radiate if it has a surface…

A: Given: Surface area of star, A= 6.99 x 1018 m2 Surface temperature, T=5274 K To determine power…

Q: Consider an experiment where a Blackbody (Blackbody radiation) is studied. The radiators are heated…

Q: Calculate energy radiated by a perfectly black sphere of radius 2 cm in one minute maintained at…

Q: Estimate the temperature that the surface of the sun would have to be in order to find equal…

A: Given: Equal population of neutral hydrogen atoms and protons at the surface To Find: Temperature of…

Q: Given that the internal energy U of blackbody radiation in a cavity of volume V at temperature T is…

A: Radiation pressure is defined as one third of the energy density per unit volume. Radiation pressure…

Q: Ql: A nuclear bomb at the instant of explosion may be approximated to a blackbody of radius 1.3 m…

A: Given: The surface temperature of the bomb is 107 K. The radius of the bomb is 1.3 m. Introduction:…

Q: A molecule of ozone (O3) has mass 7.97 x 10-26 kg and is travelling with speed v = 550ms in the…

Q: (A) Every square meter area facing the Sun, at the distance 1 AU from the Sun, receives radiant…

A: A) Given that:Prec=1.368 kW=1.368×103 WA=1 m2

Q: The maximum intensity of radiation emitted by a star occurs at a surface temperature of 4.3 x 10¹ K.…

Q: Consider a black body of surface area 20.0 cm² and temperature 5 000 K. what wavelength does it…

A: The peak wavelength of the radiation emitted by a blackbody is given by Wein's law. it states that…

Q: The sun has a luminosity of 3.9 × 1026 W and an angular diameter of θ = 32 arc mins. Assume that the…

Q: Suppose a star with radius 8.51 108 m has a peak wavelength of 689 nm in the spectrum of its…

Q: What is the rate of thermal radiation emitted from a star with a radius of 2.310x 109mand a surface…

A: A blackbody is considered as an ideal physical body which will absorb and emit all the radiations…

Q: The sun has a radius of 6.959 x 10° m and a surface temperature of When the sun radiates at a rate…

A: Given r=6.959×108 mT=5.81×103 KQ=3.91×1026 Wσ=5.67×10-8 J/s *m2K4

Q: I. Radiation (Heat Current) 17. A hot sphere of radius 0.040 m and an emissivity of 0.80 has a…

Q: A cavity radiator has its maximum spectral radiance at a wavelength of 6,9x10 m. If the body is…

A: Stefan-Boltzmann law states that a body at a temperature T emits radiant heat power which is…

Q: Our sun, currently a yellow dwarf, will eventually evolve to a red giant star and then to a white…

A: Determine the area of the white dwarf.

Q: The following measurements were made over a short grass surface on a winter night when no…

A: Explanation given below

Q: a) Plot the energy spectral density p(2) of black-body radiation at 7= 3000 K and at T = 5000 K.…

Q: What is the purpose of mercury in the vapor chamber of Franck Hertz experiment? Can it be replaced…

A: In 1914, James Franck and Gustav Hertz performed an experiment which demonstrated that electrons…

Q: Consider a material that is well approximated by a black body. The max. emitted irradiance is found…

Q: Vega is the fifth brightest star in the night sky. This bluish dwarf star has a radius of 0.810 x…

Concept explainers

Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.

Question

A certain star's power output is 2.9 x 1026 W. Assuming an ideal radiator with e = 1,
calculate its radius in km if its temperature is 5,720 K. The Stefan-Boltzmann constant
is 5.67 x 10-8 W/(m².K4).
R =
>
_km
616,612 margin of error +/- 1%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

1. The maximum radiance of a blackbody is at wavelength λ = 1.2 µm. a) At what temperature does this occur? b) Estimate the brightness temperature for a grey body at this wavelength if the emissivity coefficient is 0.9. (Use the full formula.) ( hc
What is the vrms of hydrogen on the surface of the sun if its temperature is 5.36E3 degC? What is the vrms of hydrogen on the surface of the earth if its temperature is 21.2 degC?
Modern Physics Item 4
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 .
A window has heavy curtains in front of it. At night the curtains are closed to minimise heat loss. During the day the curtains are pulled aside exposing the glass window. How much heat is lost through the 1.0 m x 1.0 m square glass window pane that is 4mm thick when the inside temperature is 20 degree C and the outside temperature is -6 C (negative 6.0) in 12 hrs? ( 1m = 100 cm) (1m = 1000mm) %3D
What is the maximum wavelength emitted by a blackbody whose temperature is 2900 K
d&e
3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s-' m-², from a body at temperature Tis 1 = GT*, where e is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity I is a function of h, c and kT. Use dimensional analysis to confirm that Iis proportional to 7 and find the dependence of a on h and c.
In kinetic theory of gases, atoms are modeled as point masses m with mean speed v related to temperature T by m v^2 = 3 k T, where k is Boltzmann’s constant. Assuming gas atoms travel several thousand Angstroms between collisions with each other, how cool would hydrogen gas need to be before quantum mechanics would have to be taken into consideration?
Two stars, both of which behave like ideal blackbodies, radiate the same total energy per second. The cooler one has a surface temperature T and 4.0 times the diameter of the hotter star. What is the temperature of the hotter star in terms of T? (Just write the result)
What is the total emittance of a cesium lamp at 2473.15 K with a lambda max of 1171.38 nm at this temperature.
To a good approximation, the sun’s surface is a blackbody with a surface temperature of 5800 K. (We are ignoring the absorption produced by the sun’s atmosphere, shown in Fig. 39.9.) (a) At what wavelength does the sun emit most strongly? (b) What is the total radiated power per unit surface area?