Q135 / 180 · AIIMS 2005 · Physics
What should be the maximum acceptance angle at the air-core interface of an optical fibre if $n_1$ and $n_2$ are the refractive indices of the core and the cladding, respectively?
- A$\sin ^{-1}\left(n_2 / n_1\right)$
- Correct answerB$\sin ^{-1} \sqrt{n_1^2-n_2^2}$
- C$\left[\tan ^{-1} \frac{n_2}{n_1}\right]$
- D$\left[\tan ^{-1} \frac{n_1}{n_2}\right]$
Solution
Core of acceptance angle $\theta=\sin ^{-1} \sqrt{{n_1}^2-n_2^2}$.
Hence, the correct answer is option: 'B'.