Question

One particular super red giant star has a surface temperature of 2,822 K. What is the wavelength (in nm) of the spectral maximum in the emission of light by this star?

Answer 1

Answer:
`1027nm`

Step-by-step explanation:

Using Weins displacement law:

`\lambda_(max)=(b)/(T)`

where
`\lambda_(max)` = wavelength

b = constant =
`2898\micro mK`

T = Temperature in Kelvin = 2822 K

Putting the values we get:

`\lambda _(max)=(2898\micro mK)/(2822K)=1.027\micro m`

`1\micro m=10^3nm`

`1.027\micro m=(10^3)/(1)* 1.027=1.027* 10^3nm`

Thus wavelength of the spectral maximum in the emission of light by this star is
`1027nm`