Wien S Displacement Law — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Wien's Displacement Law Applies to ideal black bodies emitting thermal radiation. Start with Planck's Law for spectral energy density. Differentiate the Planck function with respect to wavelength. Set the derivative equal to zero to find the extremum. Solve the resulting transcendental equation (x = 5(1-e -x)) numerically. The solution yields the constant relationship between peak wavelength and temperature. Temperature must be in Kelvin (absolute scale). Object must approximate a black body. T > 0 Confusing the peak wavelength (Wien's Law) with the total power radiated (Stefan-Boltzmann Law). Assuming the law applies to reflected light (color of non-glowing objects) rather than emitted thermal radiation. Using Celsius instead of Kelvin for temperature.