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

Answer 1

The correct option is C $7500K$

By Wein's Displacement law at the maximum intensity:

$\Rightarrow {\lambda }_1{T}_1={\lambda }_2{T}_2$

where, ${\lambda }_1$ is the wavelength at $T_1$ and ${\lambda }_2$ is the wavelength at $T_2$

$\Rightarrow 500\times 6000=400\times T_2$

$\Rightarrow T_2=7500K$