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MHT CET 2025 (22 Apr, Shift 2) · Thermal Radiation: Black Body, Stefan & Wien

Thermal Radiation: Black Body, Stefan & Wien question from MHT CET 2025 (22 Apr, Shift 2)

Q55MHT CET 2025 · 22 APR · SHIFT 2Medium

Thermal Radiation: Black Body, Stefan & Wien

Black bodies A and B radiate maximum energy with wavelength difference 4 μm4\,\mu\text{m}. The absolute temperature of body A is 3 times that of B. The wavelength at which body BB radiates maximum energy is

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Answer: (b)

  1. Wien's law: λmT=b\lambda_m T = b, so λA=λB3\lambda_A = \frac{\lambda_B}{3} since TA=3TBT_A = 3T_B.
  2. λB−λB3=4 μm⇒23λB=4 μm\lambda_B - \frac{\lambda_B}{3} = 4\,\mu\text{m} \Rightarrow \frac{2}{3}\lambda_B = 4\,\mu\text{m}
  3. λB=6 μm\lambda_B = 6\,\mu\text{m}, so the answer is (b).
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