
(a) Using equation, the total apparent shift is
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$s = h_{1}\left( 1 - \frac{1}{\mu_{1}} \right) + h_{2}\left( 1 - \frac{1}{\mu_{2}} \right)$
Or $s = 4\left( 1 - \frac{1}{4/3} \right) + 6\left( 1 - \frac{1}{3/2} \right)$
$= 3.0$ cm
Thus, $h = h_{1} + h_{2} - s = 4 + 6 - 3$
$= 7.0\ $cm