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Vroomstick

Use the displacement law, peak wavelength = 0.0029/T =0.0029/30000 = 97nm

Answer : Wavelength is 97 nm.

Explanation :

It is given that,

The surface temperature of a star, \(T=30,000\ K\)

We have to find the wavelength where the peak radiation occurs.

We can find the wavelength using Wein's displacement law i.e.

\(\lambda=\dfrac{b}{T}\)

b is the Wein's constant \(b=2.88\times 10^{-3}m.K\)

So, \(\lambda=\dfrac{2.88\times 10^{-3}\ m.K}{30,000\ K}\)

\(\lambda=9.6\times 10^{-8}\ m\)

or \(\lambda=97\ nm\)

Hence, the correct option is (b).        

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