Book edition 2nd Edition

Author(s) Randy Harris

Pages 633 pages

ISBN 9780805303087

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Short Answer

At what wavelength does the human body emit the maximum electromagnetic radiation? Use Wien's law from Exercise 14 and assume a skin temperature of $70^{\circ} F$

The wavelength corresponds to the maximum electromagnetic radiation emitted by the human body is $9.848 μ m$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data

Skin temperature $= 70 ° F$

Step 2: Formula used

Wein's law can be expressed in terms of temperature (T) and maximum wavelength ( $λ_{m a x}$ ) such that,

$λ_{m a x} T = 2.898 \times 10^{- 3} mK$

Step 3: Calculation using Wien's law

Convert the Fahrenheit temperature to Kelvin, such that

$\begin{array}{rcl} T & = & ((70 - 32) \times \frac{5}{9}) ° C + 273.15 K \\ T & = & 294.26 K \end{array}$

Using Wein's law

$λ_{\max} T = 2.898 \times 10^{- 3} mK λ_{\max} = \frac{2.898 \times 10^{- 3} mK}{294.26 K} λ_{\max} = 9.848 \times 10^{- 6} m (\frac{1 μ m}{10^{- 6} m}) λ_{\max} = 9.848 μ m$

Step 4: Conclusion

The wavelength which corresponds to the maximum electromagnetic radiation emitted by the human body is $9.848 μ m$ .

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Modern Physics

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Short Answer

At what wavelength does the human body emit the maximum electromagnetic radiation? Use Wien's law from Exercise 14 and assume a skin temperature of $70^{\circ} F$

Step by Step Solution

Step 1: Given data

Step 2: Formula used

Step 3: Calculation using Wien's law

Step 4: Conclusion

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At what wavelength does the human body emit the maximum electromagnetic radiation? Use Wien's law from Exercise 14 and assume a skin temperature of 70∘F

Step by Step Solution

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Step 4: Conclusion

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At what wavelength does the human body emit the maximum electromagnetic radiation? Use Wien's law from Exercise 14 and assume a skin temperature of $70^{\circ} F$