MHT CET20227 Aug 2022Morning ShiftPhysicsThermal Properties of MatterActual
A black sphere has radius ' R ' whose rate of radiation is ' E ' at temperature ' T '. if radius is made ' R 3 'and temperature ' 3 T ', the rate of radiation will be
Options
- A3 E
- B16 E
- CE
- D9 E
Correct answer
D. 9 E
Step-by-step solution
A black sphere has radius ' R ' whose rate of radiation is ' E ' at temperature ' E ' ' T '. If radius is made R 3 and temperature ' 3 ~T ', the rate of radiation will be 9 E E ₁= R ₁^2 T ₁^4 aligned & E ₂= R ₂^2 T ₂^4 & E ₂ E ₁ = ( R ₂ R ₁ )^2 ( T ₂ ~T ₁ )^4= ( 1 3 )^2(3)^4=9 & E ₂=9 E ₁=9 E aligned