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A glass slab of thickness $4 \mathrm{~cm}$ contains the same numbers of waves as $5 \mathrm{~cm}$ of water when both are traversed by the same monochromatic ray of light. The refractive index of water is $4 / 3$, what is that for glass?
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Verified Answer
The correct answer is:
$5 / 3$
$a n_{g}={ }_{a} n_{w} \times{ }_{a} n_{g}$
$$
\begin{array}{l}
a n_{g}=\frac{4}{3} \times \frac{\lambda_{w}}{\lambda_{g}} \\
a^{n_{g}}=\frac{4}{3} \times \frac{5}{4} \\
a^{n_{g}}=\frac{5}{3}
\end{array}
$$
$$
\begin{array}{l}
a n_{g}=\frac{4}{3} \times \frac{\lambda_{w}}{\lambda_{g}} \\
a^{n_{g}}=\frac{4}{3} \times \frac{5}{4} \\
a^{n_{g}}=\frac{5}{3}
\end{array}
$$
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