Solveeit Logo

Question

Physics Question on radiation

The surface temperature of the Sun which has maximum energy emission at 500nm500 \,nm is 6000K6000 \,K. The temperature of a star which has maximum energy emission at 400nm400\, nm will be

A

6500 K

B

7500 K

C

4500 K

D

8500 K

Answer

7500 K

Explanation

Solution

By using Wien�s displacement law, (λm)1T1=(λm)2T2\left(\lambda_{m}\right)_{1} T_{1} = \left(\lambda_{m}\right)_{2} T_{2} 500×6000=400×T2\Rightarrow 500 \times6000 =400 \times T_{2} T2=500×6000400\Rightarrow T_{2} = \frac{500 \times6000}{400} T2=7500K T_{2} = 7500 \,K