Question

The peak wavelength of light coming from a giant red star is 660 nm. Calculate the approximate surface temperature of this star in degrees Fahrenheit.

Answer 1

Answer:

The value is $T =260.33 \ F$

Explanation:

From the question we are told that  

  The the peak wavelength is  $\lambda_p = 660 nm = 660 *10^{-9} \ m$

 Generally according to the Wien's displacement law

       $\lambda_p * T = 2.898*10^{-3} \ m \cdot K$  

Here T is the approximate surface temperature of this star in K so

       $660*10^{-9} * T = 2.898*10^{-3} \ m \cdot K$  

=>    $T = 4091 \ K$

Converting to Fahrenheit ,

     $T = [400 - 273.15 ] * \frac{9}{5} + 32$

=>  $T =260.33 \ F$