MHT CET202312 May 2023Evening ShiftPhysicsThermodynamicsActual
Compare the rate of loss of heat from a metal sphere at 627^ C with the rate of loss of heat from the same sphere at 327^ C , if the temperature of the surrounding is 27^ C . (nearly)
Options
- A6.2
- B5.3
- C4.8
- D7.4
Correct answer
B. 5.3
Step-by-step solution
The heat loss is given as R = e A ( T ^4- T ₀^4 ) Let surrounding temperature be denoted as T Heat loss from the metal sphere at a temperature T ₁ R ₁= e A ( T ₁^4- T ₀^4 ) Heat loss from the metal sphere at a temperature T ₂ R₂=e A (T₂^4-T^4 ) aligned R ₁ R ₂ & = T ₁^4- T ^4 ~T ₂^4- T ^4 = 900^4-300^4 600^4-300^4 R ₁ R ₂ & =5.3 aligned