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Q. A black body emits radiation of maximum intensity at $5000\,\mathring{A}$ when its temperature is $1227^{\circ} C$. If its temperature is increased to $2227^{\circ} C$ then the maximum intensity of emitted radiation will be at wave length :-

Solution:

$\lambda T =$ constant Kelvin
$(5000)(1500)=\lambda(2500)$
$\lambda=5000 \times \frac{15}{25}=3000 \,\mathring{A}$