Answer:
The correct answer will be "1935 barns".
Explanation:
The given values are:
[tex]E_{1}[/tex] = 0.0253 eV
[tex]E_{2}[/tex] = 0.1 eV
[tex]\sigma_{2}[/tex] = 3847 barns
Now,
⇒ [tex]\frac{\sigma_{1}}{\sigma_{2}} = \frac{E_{1}}{E_{2}}[/tex]
then,
⇒ [tex]\sigma_{1}=\sigma_{2}\sqrt{\frac{E_{1}}{E_{2}}[/tex]
On substituting the given values, we get
⇒ [tex]=3847\times \sqrt{\frac{0.0253}{0.1} }[/tex]
⇒ [tex]=1935 \ barns[/tex]