COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 45QAP
To determine
The wavelength of maximum
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Problem-1:
An asteroid is hurtling toward earth at 150,000“. The temperature of the asteroid is about 100 K, meaning that its peak emission
is 2 = 29 µm. The speed of light is c =
3E[8].
a) What is the wavelength of light that we receive from the asteroid? (Answer: 2.89855E[-05] m)
Question A7
The intensity of the emitted radiation by a star is at a maximum at a wavelength of 78.9 nm.
a) Calculate the surface temperature of the star.
b) Calculate the ratio of the intensity radiated at 65.0 nm to the maximum intensity.
Assume that the star radiates like an ideal blackbody.
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.
Chapter 26 Solutions
COLLEGE PHYSICS
Ch. 26 - Prob. 1QAPCh. 26 - Prob. 2QAPCh. 26 - Prob. 3QAPCh. 26 - Prob. 4QAPCh. 26 - Prob. 5QAPCh. 26 - Prob. 6QAPCh. 26 - Prob. 7QAPCh. 26 - Prob. 8QAPCh. 26 - Prob. 9QAPCh. 26 - Prob. 10QAP
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- Consider the following. (a) Model the tungsten filament of a lightbulb as a blackbody at temperature 3320 K. Determine the wavelength of light it emits most strongly. Your response differs from the correct answer by more than 10%. Double check your calculations. nmarrow_forwardDaylight and incandescent light may be approximated as a blackbody at the effective surface temperatures of 5800 K and 2800 K, respectively. Determine the wavelength at maximum emission of radiation for each of the lighting sources.arrow_forwardThe root mean square speed of the hydrogen molecules at temperature t °C is given by 3x8.31 x (t+273) m 2 x 10-3 Calculate the de Broglie wavelength (in nanometers) of the hydrogen molecules at temperature 24 °C. The mass of the hydrogen molecule is 2 x 1.66 x 10-27 kg. Use two decimals in your answer.arrow_forward
- Ql: A nuclear bomb at the instant of explosion may be approximated to a blackbody of radius 1.3 m with a surface temperature of 10' K. find the bomb emits power ?arrow_forwardA cavity radiator has its maximum spectral radiance at a wavelength of 6,9×10 m. If the body is heated so that T/To = 9,4, what will be the ratio of radiant powers W/Wo? Wien's constant b = 2.897 x103 m-K. 3aarrow_forwardThe blackbody radiation emitted from a furnace peaks at a wavelength of 6.4 x 10-°m (0.0000064 m). What is the temperature inside the furnace? Karrow_forward
- Answer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? K(b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. Karrow_forwardAnswer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? K (b) Rigel, a bluish-white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel's surface. Karrow_forwardThe radius of our sun is r = 6.96 × 108 m and its total power is 3.85 × 1026 W. The area of a sphere is A = 4πr2.a) Assuming that the surface of the Sun emits like a black body, calculate its surface temperatureb) Using the result of part (a), find λmax for the sun.arrow_forward
- The wavelength of maximum solar emission is observed to be approximately 0.475 μm. What is the surface temperature of the sun (assumed as blackbody)?arrow_forwardWhat is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? (b) Rigel, a bluish - white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel’s surface.arrow_forwardThe Earth is spherical in shape and can be considered to be a perfect black body radiator at a temperature of 58 °C. Radius of Earth is 6360 km . (consider: Stefan's constant a = 5.67 x 10-8 W/m²T4) Calculate the total power radiated from the Earth in Wattsarrow_forward
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