MHT CET · Physics · Ray Optics
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?
- A \(5 / 3\)
- B \(5 / 4\)
- C \(16 / 15\)
- D \(3 / 2\)
Answer & Solution
Correct Answer
(A) \(5 / 3\)
Step-by-step Solution
Detailed explanation
\(a n_{g}={ }_{a} n_{w} \times{ }_{a} n_{g}\)
\(
\begin{array}{l}
a n_{g}=\frac{4}{3} \times \frac{\lambda_{w}}{\lambda_{g}} \\
a^{n_{g}}=\frac{4}{3} \times \frac{5}{4} \\
a^{n_{g}}=\frac{5}{3}
\end{array}
\)
\(
\begin{array}{l}
a n_{g}=\frac{4}{3} \times \frac{\lambda_{w}}{\lambda_{g}} \\
a^{n_{g}}=\frac{4}{3} \times \frac{5}{4} \\
a^{n_{g}}=\frac{5}{3}
\end{array}
\)
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