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AIIMS 201925 May
Exam
AIIMS
Year
2019
Date
25 May
Subject
Physics
Chapter
Thermal Properties of Matter

AIIMS 2019 · 25 May · Physics · Thermal Properties of Matter

Calculate radiation power for sphere whose temperature is 227^ C ,...

Calculate radiation power for sphere whose temperature is 227∘C227^{\circ} \mathrm{C}, radius 2 m2 \mathrm{~m} and emissivity 0.8 .

Options

  1. A1425 W1425 \mathrm{~W}
  2. B1500 W1500 \mathrm{~W}
  3. C1255 W1255 \mathrm{~W}
  4. D1575 W1575 \mathrm{~W}

Correct answer

A. 1425 W1425 \mathrm{~W}

Step-by-step solution

Given, T=227∘C,r=2 m,e=0.8T=227^{\circ} \mathrm{C}, r=2 \mathrm{~m}, e=0.8 Radiation power, P=σAeT4P=\sigma \mathrm{AeT}^4=5.67×10−8×4π×(2)2×0.8×(227+273)4≈1425 W\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}$$
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