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Question

When the temperature of a black body increase by 0.1%, the wavelength corresponding to maximum emission changes by 0.13 μm. The initial wavelength corresponding to maximum emission is
  1. 0.26 μm
  2. 0.13 μm
  3. 0.13 mm
  4. 0.26 mm


Solution

The correct option is C 0.13 mm
Using Wein’s displacement law,
λmT=b...(1)
(λm0.13μm)(0.1100T+T)=b
λm.10011000T0.16×106×10011000T=b...(2)
From (1) and (2)
λmT=λmT.100110000.13×106×10011000T
λmT1000=0.13×106×10011000T
λm=130.13μm=0.13 mm.

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