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

The value is
`T =260.33 \ F`

Step-by-step 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 ] * (9)/(5) + 32`

=>
`T =260.33 \ F`