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AP EAMCET · PHYSICS · Thermal Properties of Matter

If the wavelengths of maximum intensity of radiation emitted by two black bodies \(A\) and \(B\) are \(0.5 \mu \mathrm{~m}\) and 0.1 mm respectively, then ratio of the temperatures of the bodies A and B is

  1. A 5
  2. B 25
  3. C 100
  4. D 200
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Correct Answer

(D) 200

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Detailed explanation

\(\frac{T_A}{T_B} = \frac{\lambda_B}{\lambda_A}\) \(\frac{T_A}{T_B} = \frac{0.1 \text{ mm}}{0.5 \mu \text{m}}\) \(\frac{T_A}{T_B} = \frac{0.1 \times 10^3 \mu \text{m}}{0.5 \mu \text{m}}\) \(\frac{T_A}{T_B} = \frac{100}{0.5} = 200\)
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