At what wavelength does a star radiate most strongly if its surface temperature is 5780 K?

2. What is the color of this star?

I do not understand the Math behind figuring out Astronomical questions. I am not great with Math, so if anyone can help me understand how you figure the "formula" out ,or just how to do it period would be greatly appreciated!At what wavelength does a star radiate most strongly if its surface temperature is 5780 K?Answer : Wavelength is 5013.84 Angstrom Units or 0.501384 Micron. it falls in the Green region.

We use Wien's law here that links 'Lambda' the wavelength (in mm) at which peak radiation occurs and the temperature (T) in degrees Kelvin. The law says

T X (Lambda) = 2.898.

So if you know one (of either T or Lambda) from the above you get the other

(Lambda) = 2.898 / T.

Since your figure is

T = 5780

put it in the law above and get the 'Lambda' (to get the figure I quoted above).