The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation. It is good approximation to assume that the emissivity e is equal to 1 for these surfaces. Answer Part A and B. Part BFind the radius RProcyonB of the star Procyon B, which radiates energy at a rate of 2.1 x 102 W and has a surfacetemperature of 10,000 K. Assume that the star is spherical.Use o = 5.67 x 10 8 W/m? · K* for the Stefan-Boltzmann constant and express your answer numerically in metersto two significant figures. Part AFind the radius RRivel of the star Rigel, the bright blue star in the constellation Orion that radiates energy at a rate of2.7 x 1031 W and has a surface temperature of 11,000 K Assume that the star is spherical.Use o = 5.67 × 10-8 W/m2. K for the Stefan-Boltzmann constant and express your answer numerically in metersto two significant figures.

Solution: Consider the Stephan- Boltzmann law: P…

Answered: rocyon B, whicl

Science

Physics

rocyon B, whicl

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter3: The Quantum Theroy Of Light

Section: Chapter Questions

Problem 41P

See similar textbooks

Related questions

Q: Size of a Light-Bulb Filament. The operating temperature of a tungsten filament in an incandescent…

A: Temperature, T = 2450 K emissivity, e = 0.35 Power, P = 150 W

Q: A naked person whose body has a surface area of 1.40 m2 with an emissivity of 0.85 has a skin…

A: Given, Surface Area, A = 1.40 m2 Emissivity, e = 0.85 Skin temperature, T = 37°C = 310 K Room…

Q: A spherical pot of hot coffee contains 0.75 L of liquid (essentially water) at an initial…

A: Given, Volume of pot = 0.75L =0.75×10-3 m3 4/3 (πr3) = 0.75×10-3 Then, radius of spherical pot r =…

Q: Given a slab of material with area of 1.0 m2 and thickness 2.0 x 10 ¯² m, (a) what is the thermal…

A: Given data The area of the slab material is A = 1 m2 The thickness of the material is t = 2 x 10-2 m

Q: A cube of edge length 6.0 * 10-6 m, emissivity 0.75, and temperature -100C floats in an environment…

A: Given , edge of the cube a=6x10-6mEmissivityETemperature of the cube Ti=-100°C…

Q: Show that the thermal resistance of a rectangular enclosure can be expressed as R = Lc /(Ak Nu),…

A: Calculate the thermal resistance of the slab using the relation,

Q: A sphere of radius 0.500 m at 18.0 °C is placed in the outside on a hot summer day at 40.0 °C. The…

Q: b) A spherical infrared heater of radius 5.8 cm has an emissivity of 0.84. What temperature must it…

A: Radius , R = 5.8 cm = 5.8 x 10-2 m emissivity , e = 0.84 P = 0.52 kW = 520 W To find = Temperature…

Q: Betelgeuse, a bright red star in the constellation Orion, has a luminosity that is 100,000 times…

A: Luminosity of the sun is 3.916×1026 WBetelguese has a luminosity, 100000×3.916×1026=3.916×1031 W The…

Q: b) A spherical infrared heater of radius 6.7 cm has an emissivity of 0.7. What temperature must it…

Q: A water-heater is covered with insulation boards over a total surface area of 3 m2. The inside board…

A: Steady state conduction through board.Q = k A ∆T/∆x ⇒ ∆Τ = Q ∆x / kΑ∆x = 0.08 × 3 ×(75 − 20)/200 =…

Q: It is often argued that the head is the most important part of the body to cover when out in cold…

A: Given, Time=19.4min We have to use stefans law here

Q: toaster heater is heated up to a temperature of 584 degrees C. The emissivity of the toaster heater…

Q: Assume that the efficiency of the portable solar panel shown in the figure is 19%. (a)(a) What is…

Q: The tungsten filament of a light bulb has an operating temperature of about 2100 K. If the emitting…

Q: Consider a surface of area A at which the convection and radiation heat transfer coefficients are…

A: We are given a surface of area A, at which the convection and radiation heat transfer coefficients…

Q: A spherical infrared heater of radius 5.85 cm and an emissivity of 0.71 radiates 0.44 kW of power.…

A: Given Radius r=5.85*10-2m emmisivity e=0.71 power P=0.44*103W Stefan's constant σ=5.67x10-8 Wm-2K-4…

Q: Which of the following statements are IMPOSSIBLE? Choose all that apply. The temperature inside a…

A: Introduction: Thermodynamic properties: These are those properties of system which represent the…

Q: (a) Cherry-red embers in a fireplace are at 850C and have an exposed area of 0.200 m2 and an…

A: Using Stefan’s law, P=eσAT14-T24 In this case, half of the total energy enters the room,…

Q: The emissivity of a surface coated with aluminum oxide can be approximated to be 0.15 for radiation…

A: The expression for the average emissivity of the surface,

Q: The next four questions use this description. Our Sun has a peak emission wavelength of about 500 nm…

A: Given:- The wavelength λ = 500 nm The radius r = 7 x 105 km The dark-adapted eye has a pupil…

Q: The tungsten filament of a certain 100 W light bulb radiates 3.00 W of light. (The other 97 W is…

Q: Diameter of a Solid conductor wire is 2.54 cm and the thickness of the insulation is 3 mm. When the…

Q: The next four questions use this description. Our Sun has a peak emission wavelength of about 500…

Q: A child has a temperature of 101°F . If her total skin area is 19 m², find the energy loss per…

Q: Unreasonable Results - A meteorite 1.20 cm in diameter is so hot immediately after penetrating the…

A: diameter, d = 1.2 cm radius, r = 0.6 cm Power, P = 20 kW emissivity, e = 0.8 Temperature of…

Q: Thermography is a technique for measuring radiant heat and detecting variations in surface…

A: Part-a The initial temperature T1 = 33 oC. The final temperature T2 = 34 oC.

Q: A room is lighted by four 100 W incandescent lightbulbs. (The power of 100 W is the rate at which a…

Q: What approximately is the power of the thermal radiation?

A: We can consider human body as nearly black body as it has the emissivity=e =0.98 The power or energy…

Q: A light bulb filament is constructed from 2 cm of tungsten wire of diameter 50 pam and is enclosed…

Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation. It is good approximation to assume that the emissivity e is equal to 1 for these surfaces. Answer Part A and B.

Part B
Find the radius RProcyonB of the star Procyon B, which radiates energy at a rate of 2.1 x 102 W and has a surface
temperature of 10,000 K. Assume that the star is spherical.
Use o = 5.67 x 10 8 W/m? · K* for the Stefan-Boltzmann constant and express your answer numerically in meters
to two significant figures.

Part A
Find the radius RRivel of the star Rigel, the bright blue star in the constellation Orion that radiates energy at a rate of
2.7 x 1031 W and has a surface temperature of 11,000 K Assume that the star is spherical.
Use o = 5.67 × 10-8 W/m2. K for the Stefan-Boltzmann constant and express your answer numerically in meters
to two significant figures.

Video Video

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

How would you calculate what is the percentage of the blackbody radiation from a source at 300 K in the wavelength region from 8 to 14 um? (This is the so-called window in the earth's atmosphere.) Do not solve it numerically just explain how you would solve it (write the necessary equation).
How many particles are present in a closed container if the energy it contains is 97940.99J, and the diatomic oxygen gas is moving at a velocity of 58.55m/s? Use only the whole number for the value of atomic mass unit. Express your answer in proper scientific notation. USE GRESA AND 9.81 m/s squared for the gravity. Two decimals only
What is the frequency fmax of the maximum (peak) in the blackbody distribution of a blackbody at 3000 K? Give your answer to 2 significant figures in THz (terahertz). Formulas.pdf (Click here-->)
Before we introduced the Friedmann equation, we gained some intuition with a Newtonian example of an expanding sphere of uniform density that feels its own gravity. Suppose the sphere is currently static; it has expanded to its maximum size and is about to recollapse. Given that its total energy per mass is U, and its density is currently \rhoρ, what is its current size? Write your answer in meters, using one decimal place. Values: U = -82 J/kg \rhoρ = 545 x 105 kg/m3 Please show work as I have trouble following along
Show complete solution.
The Earth reradiates the energy it receives from the Sun as a black body. We can calculate the effective temperature of the Earth using the Stefan-Boltzmann equation F = sT4 where we solve for the Temperature T. We use for the energy flux the amount of energy absorbed per second Le divided by the Earth's surface area from which the energy is radiated 4pd2 so that the flux is = Le/(4pd2). Here d is the radius of the Earth given above and s is the Stefan-Boltzmann constant. And the effective temperature is:Te4 = (Le/(4pd2))/s = Le/(4spd2) = __________________ K4and taking the square root of Te4 twice in succession we get the effective Temperature Te:Te = [Le/(4spd2)]0.25 = _________________ Kfor the temperature of the effective Earth. What is the temperature in the Celsius scale? __________ C. (Do I need to tell you how to convert from Kelvin to Celsius? If you don't know look it up in your textbook!!)
P X %23 in a 20 poster wal Sp Sp famu.instructure.com/courses/9823/assignments/177283 M Update : THERMAL RADIATION 2 FLORIDA MECHANICAL AGRICULTURA HEAD HEART HAND Problem 4. Planetary Temperatures: Radiation of Heat to Space (Palen, et. al. 1st Ed. Chapter 6 Problem 63 ) FIELD Working It Out 6.2 The Stefan-Boltzmann Law Account Look at Figure 6.17, which shows the spectra of a light source at several different temperatures. This source is assumed to emit electromagnetic radiation only because of its temperature, not its composition. This kind of source is called a blackbody, and if we graph the intensity of its emitted radiation across all wave- lengths (as in Figure 6.17), we obtain a characteristic curve called a blackbody spectrum. As the object's temperature increases, it emits more radiation at every wavelength, so each increase in temperature raises the curve. The luminosity of the object (the total amount of light emitted) increases. In fact, it increases quite fast as the…
Consider a star of mass M = 10M⊙, composed entirely of fully ionized 12C. Its core temperature is Tc = 6 × 108 K (compared to Tc,⊙ = 1.5 × 107 K for the Sun). Use the classical ideal gas law, the dimensional relation between mass, density, and radius, and the virial theorem to find the scaling of the stellar radius r∗ with total mass M, mean particle mass m , and core temperature Tc. Using the values of these parameters for the Sun, find the radius of the star.
Parts 1,2 and 3 have been answers in a previous so 3-6 is what I need to be solved.
Suppose a star 1000 times brighter than our Sun (that is, emitting 1000 times the power) suddenly goes supernova. Using data from Table: (a) By what factor does its power output increase? (b) How many times brighter than our entire Milky Way galaxy is the supernova? (c) Based on your answers, discuss whether it should be possible to observe supernovas in distant galaxies. Note that there are on the order of 1011 observable galaxies, the average brightness of which is somewhat less than our own galaxy.
Please
The Inverse-Square and Stefan-Boltzmann's Laws Recall that the Stefan-Boltzmann law estimates the total amount of emission, per unit area, that is leaving the surface of a blackbody. This is termed the total emittance. The Stefan-Boltzman law is described by the formula Eq (1): E* = σSB • T 4 Eq (1) Where E* is the total emittance in W/m2, σSB is the Stefan-Boltzmann constant with a value of 5.67 x 10-8 W/m2•K4 and T is the blackbody temperature in K. The equation for the inverse-square law is shown below Eq (2). E*2 = E*1 • (R1 / R2)2 Eq (2) Where E*2 is the irradiance at the distance of interest, E*1 is the emission from an emitter (for example, the Sun) or at a reference location (for example, at the orbital distance of a planet) and is equivalent to E* from Eq (1), R1 is the radius of the emitter, and R2 is the distance to the…