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MHT CET · Physics · Thermal Properties of Matter

If a black body at 400 K surrounded by atmosphere at 300 K has rate of cooling ' \(\mathrm{R}_0\) ', the same body at 900 K , surrounded by same atmosphere, will have rate of cooling nearly

  1. A \(4 R_0\)
  2. B \(16 \mathrm{R}_0\)
  3. C \(36 \mathrm{R}_0\)
  4. D \(\frac{81 \mathrm{R}_0}{16}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(36 \mathrm{R}_0\)

Step-by-step Solution

Detailed explanation

\(R = \sigma A (T^4 - T_s^4)\) \(R_0 = \sigma A (400^4 - 300^4) = \sigma A (256 \times 10^8 - 81 \times 10^8) = \sigma A (175 \times 10^8)\)
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