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MHT CET 2026 (14 May, Shift 1) · Thermal Radiation: Black Body, Stefan & Wien

Thermal Radiation: Black Body, Stefan & Wien question from MHT CET 2026 (14 May, Shift 1)

Q25MHT CET 2026 · 14 MAY · SHIFT 1Medium

Thermal Radiation: Black Body, Stefan & Wien

The wavelength of maximum intensity of radiation emitted by a star is 289.8289.8 nm. The radiation intensity of the star is (Stefan's constant = 5.67×10−85.67 \times 10^{-8} SI unit, Wein's constant 2898 μ2898\,\mumk)

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Answer: (a)

  1. Wien's law: T=bλm=2898×10−6289.8×10−9=104 KT = \frac{b}{\lambda_m} = \frac{2898 \times 10^{-6}}{289.8 \times 10^{-9}} = 10^4\text{ K}
  2. Intensity =σT4=5.67×10−8×1016= \sigma T^4 = 5.67 \times 10^{-8} \times 10^{16}
  3. =5.67×108 W/m2= 5.67 \times 10^{8}\text{ W/m}^2, so the answer is (a).
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