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NEET · Physics · STD 11 - 10.2 transmission of heat

A spherical black body with a radius of \(12\ cm\) radiates \(450\ watt\) power at \(500\ K\). If the radius were halved and the temperature doubled, the power radiated in watt would be

  1. A \(450 \)
  2. B \(1000 \)
  3. C \(1800\)
  4. D \(225\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1800\)

Step-by-step Solution

Detailed explanation

According to \(Stefan-Boltzman\) law, rate of energy radiated by a black is given as \(E = \sigma A{T^4} = \sigma 4\pi {R^2}{T^4}\)