Three discs x, y and z having radii 2 ~m , 2 ~m and 6 ~m respectively are coated on outer surfaces. The wavelength corresponding to maximum are power radiated by them respectively then

Step-by-step solution

As we know that from Wien's displacement law T 1 _ From Stefan's Law, the emitted power is proportional to temperature raised to power four and directly poroportional to the surface area of the blackbody: P A T^4 So, P A _ ^4 where A=4 r^2 is the surface area of the body with spherical shape of radius r . Therefore, P_x: P_y: P_z= 2^2 3^4 : 2^2 4^4 : 6^2 5^4 = 4 81 : 4 16 : 36 625 = 32 648 : 156 624 : 36 625 P_y>P_x>P_z