Question

The surface temperature of the Sun which has maximum energy emission at $500 \,nm$ is $6000 \,K$. The temperature of a star which has maximum energy emission at $400\, nm$ will be

• A. 6500 K
• B. 7500 K
• C. 4500 K
• D. 8500 K

Answer 1

The Correct Option is B

By using Wien�s displacement law, $\left(\lambda_{m}\right)_{1} T_{1} = \left(\lambda_{m}\right)_{2} T_{2} $ $ \Rightarrow 500 \times6000 =400 \times T_{2} $ $\Rightarrow T_{2} = \frac{500 \times6000}{400} $ $ T_{2} = 7500 \,K$