Three discs, A , B and C , having radii 2 m , 4 m and 6 m , respectively, are coated with carbon black on their outer surfaces. The wavelengths corresponding to maximum intensity are 300 nm , 400 nm and 500 nm , respectively. The power radiated by them are Q A , Q B and Q C respectively. The correct statement, among the following, is

Step-by-step solution

Q ∝ AT 4   and   λ m T = Constant Hence , Q ∝ A λ m 4   or   Q ∝ r 2 λ m 4 Q A  :  Q B  :  Q C = 2 2 3 4  :  4 2 4 4  :  6 2 5 4 = 4 8 1  :  1 1 6  :  3 6 6 2 5 = 0.05 : 0.0625 : 0.0576 i.e. , Q B  is maximum .