What is the surface temperature of a distant star having a peak wavelength of 475 nm?

Given that,

The peak wavelength is

λp = 475nm

Then, we want to find the temperature,

From Wein's displacement law,

When the maximum is evaluated from the Planck radiation formula, the product of the peak wavelength and the temperature is found to be a constant (k = 2.898 * 10^-3 mK)

So, applying this we have

λp•T = 2.898 * 10^-3

T = 2.898 * 10^-3 / λp

T = 2.898 * 10^-3 / 475 * 10^-9

T = 6101.05 K