Question

The maximum energy in thermal radiation from a source occurs at wavelength of 2900$A^{\circ }$. The effective temperature of the source is

• A. $6\times {10}^{3}K$
• B. $8\times {10}^{3}K$
• C. $1\times {10}^{4}K$
• D. $1\times {10}^{6}K$

Answer 1

The correct option is C $1\times {10}^{4}K$

$b$ is wein's constant ($b=2.9\times {10}^{3}m-K$ )
Now,
${\lambda }_m=\frac{b}{T}\Rightarrow T=\frac{b}{{\lambda }_m}=\frac{2.9\times {10}^{-3}}{2900\times {10}^{-10}}$
$\therefore T=10000K$