First slide

Radiation

Question

A metal piece is heated to T₁ K. The temperature of the surroundings is T₂ K. The heat in the surroundings due to radiation is proportional to

Easy

A

${T_{1}}^{4} - {T_{2}}^{4}$
B

${(T_{1} - T_{2})}^{4}$
C

${T_{1}}^{4} + {T_{2}}^{4}$
D

$(T_{1}^{3} + T_{2}^{3})$

Solution

E = $σ t A (T^{4} - T^{4})$ STEFAN BOLTZMANS LAW
The metal piece emits heat ${σT}_{1}^{4}$ while it absorbs heat ${σT}_{2}^{4}$ from surroundings. Hence heat in the surroundings due to radiation is proportional to $(T_{1}^{4} - T_{2}^{4})$ .

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