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% $BNL;RJ*M}3X(B : $B1i=,LdBj(B 1-5 $B2rEz(B
% $B%U%"%$%kL>(B : /home/edu/a-94e/y9410205/tex/quantum_physics/Q1-5.tex
% $B:n(B  $B@.(B  $B<T(B : y9410205 Yuzri Mohd Yusoff
% $B:n@.G/7nF|(B : /95/12/7
% $BEE;R%a!<%k(B : y9410205@edu.uec.ac.jp
%
\mondai
{y9410205 Yuzri Mohd Yusoff}
{/95/12/7}
{y9410205@edu.uec.ac.jp}
{1-5}
{
%**********     $BLdBjJ,(B  ***************%
$B%?%s%0%9%F%s$N;E;v4X?t$O(B 4.55 eV $B$G(B
$B$"$k!#%?%s%0%9%F%s$NI=LL$+$i8wEE8z2L$GEE;R$rHt$S=P$5$;$k$N$K(B
$B$O(B, $B?6F0?t$,$$$/$D0J>e$NEE<'GH$,I,MW$+(B? $B$3$NEE<'GH$N<oN`$O2?(B
$B$+(B?
}
{
%************** $B2rEz(B  ******************%
\noindent $B8wEE8z2L$h$j6bB0$NI=LL$+$iEE;R$rHt$S=P$5$;$k$?$a$K(B
$BEv$F$k8w$N%(%M%k%.!<(B (h$\nu$; $\nu$ $B$O8w$N?6F0?t(B) $B$O6bB0$N;E(B
$B;v4X?t(B (W) $B$h$jBg$-$/$J$1$l$P$J$i$J$$!#$D$^$j(B   
\begin{equation}
h\nu \geq W 
\label{eq:1-5-1}
\end{equation}
(h $B$O%W%i%s%/Dj?t(B, $h = 6.6260755 \times 10^{-34}\hspace{2mm}{\rm J\cdot s}= 4.136 \times 10^{-15} \hspace{2mm}{\rm eV\cdot s}$)
$B%?%s%0%9%F%s$N>l9g(B W = 4.55 {\rm eV} $B$G$"$k$N$G(B (\ref{eq:1-5-1}) 
$B$h$j(B 
\[
(4.136 \times 10^{-15})\nu \geq 4.55
\]
\[
 \nu \geq \frac{4.55}{4.136\times 10^{-15}} =
1.10 \times 10^{15} {\rm s^{-1}}
\]
$B$7$?$,$C$F(B, $B?6F0?t$O(B   1.10 $\times 10^{15}\hspace{2mm}
{\rm s^{-1}}$ $B$h$jBg$-$/$J$1$l$P$J$i$J$$!#(B $B$^$?(B, $B8w$NGHD9(B $\lambda$ $B$H?6F0?t(B $\nu$ $B$N4X78$O(B 
\begin{equation}
\lambda = \frac{c}{\nu} \Longrightarrow \nu =
\frac{c}{\lambda} ;  \mbox{ ( $B8w$NB.EY(B }c = 2.99792458
\times 10^8 \hspace{2mm}{\rm ms^{-1}})
\label{eq:1-5-2}
\end{equation}
$B$7$?$,$C$F(B, $\nu$ = $1.10 \times 10^{15} \hspace{2mm}{\rm s^{-1}}$ 
$B$N;~(B
\[
\lambda = \frac{2.99792458 \times 10^8}{1.10 \times 10^{15}}
= 2.7253 \times 10^{-7} \hspace{2mm}{\rm m} = 0.27 {\rm \mu m}
\]
$B$3$l$,;g30@~$NGHD9$NHO0O(B ( 1 {\rm nm} $\sim$ 0.38 ${\rm \mu
m}$ ) $B$K$"$k$N$G(B 0.27 ${\rm \mu m}$ $B$NGHD9$NEE<'GH$O(B{\bf $B;g30@~(B} $B$G$"$k!#(B 
%************  $B2rEz=*(B **************%
}
