A spherical shell is kept in an atmosphere at temperature `T_(0)`. The wavelength corresponding to maximum intensity of radiation for the shell is `lambda_(0)`. A point source of constant power is switched on inside the shell. The power radiated by the source is `P = 04sigmaSeT_(0)^(4)` where S, e and `sigma` are outer surface area of the shell, emissivity of the outer surface of the shell and Stefan’s constant respectively. Calculate the new wavelength `(lambda)` corresponding to the maximum intensity of radiation from the shell. Assume that change in temperature `(DeltaT)` of the shell is small compared to the ambient temperature `T_(0)`.

Answer

`(10)/(11)lambda_(0)`