Answer : Wavelength is 97 nm.
Explanation :
It is given that,
The surface temperature of a star, [tex]T=30,000\ K[/tex]
We have to find the wavelength where the peak radiation occurs.
We can find the wavelength using Wein's displacement law i.e.
[tex]\lambda=\dfrac{b}{T}[/tex]
b is the Wein's constant [tex]b=2.88\times 10^{-3}m.K[/tex]
So, [tex]\lambda=\dfrac{2.88\times 10^{-3}\ m.K}{30,000\ K}[/tex]
[tex]\lambda=9.6\times 10^{-8}\ m[/tex]
or [tex]\lambda=97\ nm[/tex]
Hence, the correct option is (b).
