MHT CET202410 May 2024Morning ShiftPhysicsThermal Properties of MatterActual
A black sphere has radius R whose rate of radiation is E at temperature T . If radius is made half and temperature 4 T , the rate of radiation will be
Options
- A64 E
- B32 E
- C16 E
- D8 E
Correct answer
A. 64 E
Step-by-step solution
E = e ~A ~T ^4 But for sphere, A=4 R^2 array ll & E = e (4 R ^2 ) T ^4 & E ₁ E ₂ = R ₁^2 ~T ₁^4 R ₂^2 ~T ₂^4 & E E ₂ = R ^2 ~T ^4 ( R 2 )^2(4 ~T )^4 & E ₂=64 E array