MHT CET202312 May 2023Morning 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
- AE
- B3 E
- C6 E
- D9 E
Correct answer
D. 9 E
Step-by-step solution
array ll & E = eA T ^4 & But for sphere, A=4 R ^2 & 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 3 )^2(3 ~T )^4 & E ₂=9 E array