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 answer
    B
    $\sin ^{-1} \sqrt{n_1^2-n_2^2}$
  • 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'.

Relevant Questions