Question

who are genius solve it ​

Answer 1

a)

$\mathbf{n=Nce^(^E^f^-^E^c^)^/^K^b^t}$

$\mathbf{KbT(eV)=\frac{1.38*10^-^2^3*600}{1.6*10^-^1^9} }$

$\mathbf{\implies KbT(eV)=0.052}$

$\mathbf{\implies n=10^1^9e^-^(^0^.^4^)^/^0^.^0^5^2=4.56*10^1^5\ cm^-^3}$

$\mathbf{\boxed{\implies n= 4.56*10^1^5\ cm^-^3 }}$

b)

 $\mathbf{p=Nve^(^E^v^-^E^f^)^/^K^b^T}\\\\\mathbf{\implies Ev-Ef-(Ev-Ec)(Ec-Ef)=-EG+0.4=-1.0+0.4=-0.6}\\\\\mathbf{\implies Nve^(^E^v^-^E^f^)^/^K^b^T=10^1^9e^-^0^.^6^/^0^.^0^5^2=9.75*10^1^3\ cm^-^3}\\\\\mathbf{\boxed{\implies p=9.75*10^1^3\ cm^-^3}}$

Answer 2

(i) 4.56 * 10^{15} cm^{-3}

(ii) 9.75 * 10¹³ cm^{-3}