Answer:
Temperature, T = 10000 K
Explanation:
It is given that,
Wavelength, [tex]\lambda=290\ nm=290\times 10^{-9}\ m[/tex]
We need to find the temperature of a star whose maximum light is emitted at this wavelength. It can be calculated using Wein's displacement law as :
[tex]\lambda_{max}.T=2.9\times 10^{-3}[/tex]
[tex]T=\dfrac{2.9\times 10^{-3}}{290\times 10^{-9}}[/tex]
T = 10000 K
So, the temperature of a star is 10000 K. Hence, this is the required solution.