Question

Antares is a supergiant with a temperature of 3,500 K. Antares is most likely _______ in color.

Answer 1

Red

Step-by-step explanation:

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Answer 2

Answer: red

Firstly, let's define the following:

The color temperature of a light source is defined by comparing its color within the light spectrum with that of light that would emit a black body heated to a certain temperature.

In this sense, the Wien's law, relates the wavelength
`\lambda_(p)` where the intensity of the radiation is maximum (also called peak wavelength) with the temperature
`T` of the black body.

In other words:

There is an inverse relationship between the wavelength at which the emission peak of a blackbody occurs and its temperature.

Being this expresed as:

`\lambda_(p).T=C` (1)

Where:

`T=3500K` is the temperature in Kelvin (K)

`\lambda_(p)` is the wavelength of the emission peak in meters (m).

`C` is the Wien constant, whose value is
`2,898(10)^(-3)m.K`

Then:

`\lambda_(p)=(C)/(T)` (2)

`\lambda_(p)=(2,898(10)^(-3)m.K)/(3500K)`

`\lambda_(p)=0.000000828m=828nm` This wavelength corresponds to red color.

Therefore:

Antares is most likely red in color.