MHT CET20228 Aug 2022Morning ShiftPhysicsThermal Properties of MatterActual
Three black discs x, y, z have radii 1 ~m , 2 ~m and 3 ~m respectively. The wavelength corresponding to maximum intensity are 200 ~nm , 300 ~nm and 400 ~nm respectively. The relation between emissive power E_x, E_y and E_z is
Options
- AE_x is maximum
- BE_y is maximum
- CE_z is maximum
- DE_x=E_y=E_z
Correct answer
A. E_x is maximum
Step-by-step solution
According to the Stefan's Law: aligned & E= A T^4 A & E T^4 aligned According to the Wein's Law: aligned & T= k _m & E A ^4 & E_x: E_y: E_z= 1 _x^4 : 1 ^4 : 1 ^4 = 1 200^4 : 1 300^4 : 1 400^4 aligned The relation between emissive power E_x, E_y and E_z is as follows: E x>E y>E z