We can use Wien's Displacement Law to determine the temperature of a star based on its peak emission wavelength. The law states:

λ_max * T = b

where:

* λ_max is the wavelength at which the star emits the most light (in meters)

* T is the star's surface temperature (in Kelvin)

* b is Wien's displacement constant, approximately 2.898 × 10^-3 m·K

1. Convert the wavelength to meters:

* 290 nm = 290 × 10^-9 m

2. Rearrange the equation to solve for T:

* T = b / λ_max

3. Plug in the values and solve:

* T = (2.898 × 10^-3 m·K) / (290 × 10^-9 m)

* T ≈ 9993 K

Therefore, the temperature of a star whose maximum light is emitted at a wavelength of 290 nm is approximately 9993 Kelvin.