Lightning produces a maximum air temperature on the order of1.1 x 10 4 K,while a

Question

Lightning produces a maximum air temperature on the order of1.1 x 104 K,while a nuclear explosion produces a temperature on the order of9.3 x 106 K.Use Wien's displacement law to calculate the wavelength of thethermally produced photons radiated with greatest intensity by eachof these sources. Select the part of the electromagnetic spectrumwhere you would expect each to radiate most strongly. (a) lightning
max = 1incorrect
Your answer is within 10% of the correctvalue. This may be due to roundoff error, or you could have amistake in your calculation. Carry out all intermediate results toat least four-digit accuracy to minimize roundoff error.nm
(a) lightning
max = 1incorrect
Your answer is within 10% of the correctvalue. This may be due to roundoff error, or you could have amistake in your calculation. Carry out all intermediate results toat least four-digit accuracy to minimize roundoff error.nm

Explanation / Answer

According to Wein's displacement law we have m * T = b where m is the maximum wavelength,T is theabsolute temperature and b is a constant whose value is 2.897 *10-3 m.K for lightning we have T = 1.1 * 104 K or m = (b/T) = (2.897 * 10-3/1.1 *104) = 2.63 * 10-7 m for the nuclear explosion we have m = (b/T') = (2.897 * 10-3/9.3 *106) = 0.3115 * 10-7 m the part of electromagnetic spectrum where we would expecteach to radiate most strongly is the ultraviolet region.This isbecause the ultraviolet region extends from 10 nm to 100 nm andmore. the energy of the two wavelengths is E = (h * c/) h is planck's constant and has a value 6.63 * 10-34J-s,c = 3 * 108 m/s and m was themaximum wavelength the energy is inversely proportional to the wavelengththerefore when the wavelength is shorter the enrgy will bemaximum.Therefore,the part of the electromagnetic spectrum whichwould radiate most strongly is the wavelength produced in nuclearexplosion.

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