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Problem 43 Medium Difficulty

Just after detonation, the fireball in a nuclear blast is approximately an ideal blackbody radiator with a surface temperature of
about $1.0 \times 10^{7} \mathrm{K}$ (a) Find the wavelength at which the thermal radiation is maximum and (b) identify the type of electromagnetiwave corresponding to that wavelength. (See Fig. $33-1 .$ ) This radiation is almost immediately absorbed by the surrounding air molecules, which produces another ideal blackbody radiator with a surface temperature of about $1.0 \times 10^{5} \mathrm{K} .$ (c) Find the wavelength at which the thermal radiation is maximum and (d) identify the type
of electromagnetic wave corresponding to that wavelength.

Answer

(a) $\lambda_{\text { max }}=299 \mathrm{pm}$
(b) $\mathrm{x}$ ray
(c) $\lambda_{\text { max }}=29 \mathrm{nm}$
(d) Ultraviolet

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Top Physics 103 Educators
Farnaz M.

Simon Fraser University

Zachary M.

Hope College

Jared E.

University of Winnipeg

Meghan M.

McMaster University

Video Transcript

part air off the given problem. We were asked to find the Lambda I reached the thermal. Radiation is a maximum. We can write that by using Raines Law. Oh, Linda Max is equal to 2898 micrometer Calvin divided by T Oh, this is 2898 micrometer Calvin divided by one times 10 to the power seven calories This uses Alemdar max Oh, for to current nine times 10 to the power minus for micro meter logistical True 0.9 times 10 to the power minus 10 meters. But to be off the problem, the Web is in the X ray region off the electromagnetic spectrum. Actually part See A by using your Ian's Law crossbones to the thermal radiation maximum. We again right. The Linda max is a cool, too off to a nine a marker me to devised by one times 10 to the power five. Calvin Dis gives us two for nine times. Don't involve minus two micro meter, which is equal to 2.9 times temple power minus eight meters, but d off. The problem they have is in the ultraviolet region off the electromagnetic spectrum. So old draw war let region

Wesleyan University
Top Physics 103 Educators
Farnaz M.

Simon Fraser University

Zachary M.

Hope College

Jared E.

University of Winnipeg

Meghan M.

McMaster University