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MHT CET 2024 (9 May, Shift 2) · Thermal Radiation: Black Body, Stefan & Wien

Thermal Radiation: Black Body, Stefan & Wien question from MHT CET 2024 (9 May, Shift 2)

Q70MHT CET 2024 · 9 MAY · SHIFT 2Medium

Thermal Radiation: Black Body, Stefan & Wien

A black body radiates power ' P ' and maximum energy is radiated by it at a wavelength λ0\lambda_0. The temperature of the black body is now so changed that it radiates maximum energy at the wavelength λ04\frac{\lambda_0}{4}. The power radiated by it at new temperature is

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Answer: (b)

  1. Wien: λm→λ04\lambda_m \to \frac{\lambda_0}{4} means T→4TT \to 4T.
  2. Stefan: P∝T4⇒P′=44P=256PP \propto T^4 \Rightarrow P' = 4^4 P = 256P
  3. So the answer is (b) 256P256P.
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