How to solve Wien displacement law numerical problems

1. How to solve Wien displacement law numerical problems Wilhelm Wein, in 1893, derived a formula to measure the highest spectral radiance of a blackbody as a function of its wavelength at a particular temperature and is renowned as Wien displacement law. Wien displacement law formula At constant temperature conditions, the quantity of thermal radiation emitted per unit area from the object's surface is maximum at a particular wavelength, and it is λm. It is the lowest possible temperature that a body can attain. Usually, the Kelvin scale measures it. The oscillatory particles of the object possess minimum kinetic energy at an absolute temperature . λm x T = b λm denotes the wavelength of thermal radiation with peak intensity. The product of λm with the body's temperature on the Kelvin scale is a fixed number called the Wien displacement law constant. The numerical value of Wien's proportionality constant is 2.89 x 10-3 mK, and the alphabet 'b' symbolizes it. T= absolute temperature of the body. b=Wien's constant. Unit conversions to solve the problem Peak wavelength with maximum intensity Absolute Wien's law constant temperature of body SI system In both the SI and CGS systems, the temperature unit is Kelvin. SI system 1 nm=10^-9 m 1 pm=10^-12 m 1 A=10^-10 m Wien constant unit in the SI system is 2.89 mm K The following formula converts the temperature of an object from centigrade to Kelvin scale measurement. CGS system 1 mm=10^-3 m CGS system λm unit is cm Wien constant unit in the CGS system is 0.289 cm Kelvin The temperature on Kelvin scale=Temperature on a centigrade scale+273.15 Method of solving the numerical problems Temperature Wavelength SI system Wien constant value in the SI system is 289 x 10^-5 mK Convert wavelength to meters from various units T is temperature in degree centigrade(given) =T+273.15=t Kelvin Wien constant value in the CGS system is 0.289 cm Kelvin Convert wavelength to centimeters from various units CGS system To find the temperature, the formula is T=λm/b To find the peak wavelength, the formula is λm=T/b The formula is interchangeable based on need. And it is the same for both the CGS and SI systems of units. Blog:https://jayamchemistrylearners.blogspot.com/