the problem is a 100W light bulb whose filament is 30.0cm longand .4mm in diamet

Question

the problem is a 100W light bulb whose filament is 30.0cm longand .4mm in diameter. the emissitivity is .26. what is thetemperature of the filament and wave length when spectral emittanceis maximum. the cramster solution matches the back of the book with 2.06 x10 ^4 K for temperature and 141nm for wavelength. running thenumbers on my own i get something different. for T=(I/e)^(1/4) I get T=2059K instead of 2.06 x10^4 which would then put = 1408.6 nm instead of 141nm the problem is a 100W light bulb whose filament is 30.0cm longand .4mm in diameter. the emissitivity is .26. what is thetemperature of the filament and wave length when spectral emittanceis maximum. the cramster solution matches the back of the book with 2.06 x10 ^4 K for temperature and 141nm for wavelength. running thenumbers on my own i get something different. for T=(I/e)^(1/4) I get T=2059K instead of 2.06 x10^4 which would then put = 1408.6 nm instead of 141nm

Explanation / Answer

nevermind i got it. the answer in the back of the book is wrong. it should be 2059K and 1410nm.

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