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MHT CET 2024 (16 May, Shift 1) · Thermal Radiation: Black Body, Stefan & Wien

Thermal Radiation: Black Body, Stefan & Wien question from MHT CET 2024 (16 May, Shift 1)

Q68MHT CET 2024 · 16 MAY · SHIFT 1Medium

Thermal Radiation: Black Body, Stefan & Wien

The power radiated by a black body is P and it radiates maximum energy around the wavelength λ0\lambda_0. Now the temperature of the black body is changed so that it radiates maximum energy around wavelength (λ02)\left(\frac{\lambda_0}{2}\right). The power radiated by it will now increase by a factor of

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Answer: (c)

  1. Wien: λm→λ02\lambda_m \to \frac{\lambda_0}{2} means T→2TT \to 2T.
  2. Stefan: P∝T4⇒P \propto T^4 \Rightarrow factor 24=162^4 = 16.
  3. So the answer is (c) 16.
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