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Two bodies whose temperatures are in a given ratio differ in wavelength of maximum emission: find a wavelength

The same question, asked 2 times: 10 May 2023 S1*, 22 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S1

    17
    Ordinary bodies P and Q radiate maximum energy with wavelength difference 3 μm3\,\mu m. The absolute temperature of body P is four times that of Q. The wavelength at which body Q radiates maximum energy is

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  2. Question 2

    22 Apr 2025 S2

    43
    Black bodies A and B radiate maximum energy with wavelength difference 4μ m4\mu\text{ }m. The absolute temperature of body A is 3 times that of B . The wavelength at which body B radiates maximum energy is

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