Mikroskop

Lensa Obyektif

\begin{equation*}
\begin{split}
\frac{1}{S_o} + \frac{1}{S_i} & = \frac{1}{f} \\\\
\frac{1}{2,2} + \frac{1}{S_i} & = \frac{1}{2} \\\\
\frac{1}{S_i} & = \frac{1}{2} - \frac{1}{2,2} \\\\
\frac{1}{S_i} & = \frac{2,2 - 2}{4,4} \\\\
\frac{1}{S_i} & = \frac{0,2}{4,4} \\\\
S_i & = 22 \text{ cm}
\end{split}
\end{equation*}

\begin{equation*}
\begin{split}
M_{\text{ ob}} & = -\frac{S_i}{S_o} \\\\
M_{\text{ ob}} & = -\frac{22}{2,2} \\\\
M_{\text{ ob}} & = -10
\end{split}
\end{equation*}

Tanda − menunjukkan bayangan dari lensa obyektif terbalik

Lensa Okuler

Saat berakomodasi maksimum, bayangan dari lensa okuler jatuh pada titik dekat mata (25 cm)

Si = − 25 cm (tanda − menunjukkan bayangan dari lensa okuler adalah bayangan maya)

\begin{equation*}
\begin{split}
\frac{1}{S_o} + \frac{1}{S_i} & = \frac{1}{f} \\\\
\frac{1}{S_o} + \frac{1}{-25} & = \frac{1}{5} \\\\
\frac{1}{S_o} & = \frac{1}{5} + \frac{1}{25} \\\\
\frac{1}{S_o} & = \frac{5 + 1}{25} \\\\
\frac{1}{S_o} & = \frac{6}{25} \\\\
S_o & = 6,25 \text{ cm}
\end{split}
\end{equation*}

\begin{equation*}
\begin{split}
M_{\text{ ok}} & = \frac{Sn}{f} + 1 \\\\
M_{\text{ ok}} & = \frac{25}{5} + 1 \\\\
M_{\text{ ok}} & = 6
\end{split}
\end{equation*}

A. Perbesaran total

\begin{equation*}
\begin{split}
M & =M_{\text{ ob}} \times M_{\text{ ok}} \\\\
M & = -10 \times 6 \\\\
M & = - 60
\end{split}
\end{equation*}

Tanda − menunjukkan bayangan akhir terbalik

B. Panjang mikroskop

\begin{equation*}
\begin{split}
L & = Si_{\text{ ob}} + So_{\text{ ok}}  \\\\
L & = 22 + 6,25  \\\\
L & = 28,25 \text{ cm}
\end{split}
\end{equation*}