According to Planck’s law, the wavelength corresponding to the maximum energy is proportional to

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  1. T
  2. T2
  3. T3
  4. \(\frac{1}{T}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{T}\)
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Explanation:

According to Planck's law, the wavelength corresponding to the maximum energy is inversely proportional to Temperature. It is obtained from Wien's displacement law. The Wien’s displacement law can be obtained by determining the maxima of Planck’s law.

Wein’s displacement law:

  • According to this law, the radiation curve for a black body is different at different temperatures and peak wavelengths are inversely proportional to the temperature of the body.
  • Maximum wavelength = \(\lambda ~=~\frac{b}{T}\)

Where b is Wein's constant = 3 × 10-3 m.K and T is the temperature of the body (In kelvin unit).

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