Answer: Peak wavelength
{lambda max}
= 9.7*EXP{-7}meter
Which is approximately,
1 micro-meter.
Explanation: lambda{max} which is peak wavelength is inversely proportional to temperature {T}.This is given by the wiens displacement law.
Lambda max
=max displacement{Xmax} / T
For the first case at T = 6000K
Lambda max = 483 nano-meter
=483*EXP{-9}meter.
So let's solve for max displacement {Xmax}.
Xmax = T*lambda max
= 6000*483*EXP{-9}
=2.898*EXP{-3}kelvin-meter
Xmax would be constant during Temperature change.
Therefore lambda max at 3000K would be,
Lambda max
= {2.898*EXP{-3} K-m} / 3000K
= 9.7*EXP{-7} meter
Which is approximately,
1*EXP{-6} meter= 1 micro-meter
NOTE: EXP used here means 10^.
