Question
Three discs A,B and C having radii 2m, 4m and 6m respectively are coated with carbon black on their outer surfaces. the wavelenghts corresponding to maximum intensity are 300 nm, 400nm and 500 nm respectively. if the power radiated by them are Qa, Qb and Qc respectively then
(1) Qa is maximum
(2) Qb is maximum
(3) Qc is maximum
(4) Qa= Qb = Qc
Joshi sir comment
according to Wein's displacement law λT = constant
so ratio of temperatures of the three discs will be 1/3:1/4:1/5 = 20:15:12
and ratio of area of the discs = 1:4:9
now according to Stephan's law Q α A * T4
so ratio Qa:Qb:Qc = 1*(20)4 : 4*(15)4 : 9*(12)4
on solving we will get that Qb is maximum