Calculate radiation power for sphere whose temperature is $227^{\circ} \mathrm{C}$, radius $2 \mathrm{~m}$…

Calculate radiation power for sphere whose temperature is $227^{\circ} \mathrm{C}$, radius $2 \mathrm{~m}$ and emissivity 0.8 .
  1. $1425 \mathrm{~W}$
  2. $1500 \mathrm{~W}$
  3. $1255 \mathrm{~W}$
  4. $1575 \mathrm{~W}$

Solution

Given, $T=227^{\circ} \mathrm{C}, r=2 \mathrm{~m}, e=0.8$ Radiation power, $P=\sigma \mathrm{AeT}^4$ $\begin{aligned} & =5.67 \times 10^{-8} \times 4 \pi \times(2)^2 \times 0.8 \times(227+273)^4 \\ & \approx 1425 \mathrm{~W}\end{aligned}$

Asked in: NEET 2020 (Phase 2)

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