Normal human body of the temperature is `98.6^(@)F`. During high fever if the temperature increases to `104^(@)F ` what is the change in peak wavelength that emitted by our body ?
(Assume human body is a black body)

Explanation

Normal human body temperature `(T)=98.6^(@)F`
`(F-32)/(180)=(K-273)/(100)`
`"So, "T=98.6^(@)F=310K`
From Wien.s displacement law
Maximum wavelength, `lambda_("max")=(b)/(T )=(2.898xx10^(-3))/(310)=9348xx10^(-9)m`
`lambda_("max")=9348nm" "(" at "98.6^(@)F)`
During high fever, human body temperature, `T=104^(@)F=313K`
`"Peak wavelength "lambda_("max")=(b)/(T )=(2.898xx10^(-3))/(313)=9259xx10^(-9)m`
`lambda_("max")=9259 nm" "("at "104^(@)F)`