Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 3, Problem 27P
To determine
The wavelength at which the human body emits the maximum
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At what wavelength is the radiation emitted by the human body at its maximum? Assume a temperature of 37°C.
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temperature of 33 °C and a surface area of 1.50 m².The
emissivity of skin is 0.97 in the infrared, the part of the
spectrum where the radiation takes place.
The temperature of human skin is approximately 34°C. Calculate the peak
wavelength of the radiation emitted from the skin.
Chapter 3 Solutions
Modern Physics for Scientists and Engineers
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - In the experiment of Example 3.2, how could you...
Ch. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 22QCh. 3 - Prob. 23QCh. 3 - Prob. 24QCh. 3 - Prob. 25QCh. 3 - Prob. 26QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Across what potential difference does an electron...Ch. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Calculate max for blackbody radiation for (a)...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - White dwarf stars have been observed with a...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - The Fermi Gamma-ray Space Telescope, launched in...Ch. 3 - Prob. 70P
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- Suppose a hot object radiates with the twice the intensity as the sun on earth, i.e. 2600W/m2. What is the energy density of this radiation?arrow_forwardWhat is the maximum wavelength emitted by a blackbody whose temperature is 2900 Karrow_forwardThe emissivity of the human skin is 97.0 percent. Use 35.0 °C for the skin temperature and approximate the human body by a rectangular block with a height of 1.61 m, a width of 37.5 cm and a length of 22.0 cm. Calculate the power emitted by the human body. What is the wavelength of the peak in the spectral distribution for this temperature? Fortunately our environment radiates too. The human body absorbs this radiation with an absorptance of 97.0 percent, so we don't lose our internal energy so quickly. How much power do we absorb when we are in a room where the temperature is 23.5 °C? How much energy does our body lose in one second?arrow_forward
- The maximum intensity of radiation emitted by a star occurs at a surface temperature of 4.3 x 104 K. a) Calculate the wavelength of the emitted radiation when the intensity is maximum. b) Calculate the ratio of the intensity radiated at a wavelength of 60.0 nm to the maximum intensity. Assume that the star radiates like an ideal blackbody.arrow_forwardAn infrared satellite measures outgoing radiation that leaves Earth's surface through an atmospheric window. The observed spectral irradiance at a wavelength of 10 μm is 2.199×107 W m-2 m-1. What is the temperature of the surface? Give your answer in K.arrow_forwardA block of ice (m = 9 kg) at a temperature of T1 = 0 degrees C is placed out in the sun until it melts, and the temperature of the resulting water rises to T2 = 29 degrees C. Recall that the specific heat of water is c = 4186 J/(kg⋅K), and its latent heat of fusion is Lf = 3.34 × 105 J/kg. Input an expression for the amount of energy, Em, needed to melt the ice into water. Input an expression for the total amount of energy, Etot, to melt the ice and then bring the water to T2. What is this energy in joules?arrow_forward
- The emissivity of the human skin is 97.0 percent. Use 35.0 °C for the skin temperature and approximate the human body by a rectangular block with a height of 1.76 m, a width of 43.5 cm and a length of 22.0 cm. Calculate the power emitted by the human body. 2301 J units. No What is the wavelength of the peak in the spectral distribution for this temperature? Fortunately our environment radiates too. The human body absorbs this radiation with an absorbance of 97.0 percent, so we don't lose our internal energy so quickly. How much power do we absorb when we are in a room where the temperature is 23.0 °C? How much energy does our body lose in one second?arrow_forwardThe Sun has a surface temperature of 5770 K, a radius of 6.96 × 105 km, an average distance from Earth of1.496 × 108 km, and radiates e/m radiation into space isotropically. Earth is a sphere with a radius of 6378 km,and on average absorbs 30 percent of the sunlight that shines on it, with the rest reflected back into space.Both the Sun and Earth are opaque to e/m radiation of all wavelengths, so intensity I = σT4, where σ is theStefan-Boltzmann constant and T is Kelvin temperature. Calculate the temperature (in Kelvins) of Earth.arrow_forwardWhat is the net heat current in radiation of an Ice cube at 0 °C if the surrounding air is at 20°C? The ice cube has sides of length 2.50 cm, the emissivity of ice is 0.96 and the Stefan-Boltzmann constant is o = 5.67 x 10-8 Watts/m2Kª. Is the heat flow out or into the ice cube, explain?arrow_forward
- A block of ice (m = 13 kg) at a temperature of T= 0 degrees C is placed out in the sun until it melts, and the temperature of the resulting water rises to T,= 26 degrees C. Recall that the specific heat of water is c = 4186 J/(kg-K), and its latent heat of fusion is Lf= 3.34 × 10° J/kg. Input an expression for the amount of energy, Em, needed to melt the ice into water. %3D (b) Input an expression for the total amount of energy, Etot, to melt the ice and then bring the water to T2. Eto1 = || What is this energy in joules? Etotarrow_forwardA person steps out of the shower and dries off. The person's skin with an emissivity of 0.70 has a total area of 1.2 m2 and a temperature of 33.2 °C. What is the net rate (in W) at which energy is lost to the room through radiation by the naked person if the room temperature is 24.5 °C? The Stefan-Boltzmann constant is 5.67 x 10-8 WI(m2 · K4).arrow_forwardThe temperature of the human body is 37 deg C. The intensity of radiation emitted by the human body is maximum at a wavelength?arrow_forward
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