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AIIMS 2005
Exam
AIIMS
Year
2005
Subject
Physics
Chapter
Ray Optics

AIIMS 2005 · Physics · Ray Optics

What should be the maximum acceptance angle at the air-core...

What should be the maximum acceptance angle at the air-core interface of an optical fibre if n1n_1 and n2n_2 are the refractive indices of the core and the cladding, respectively?

Options

  1. Asin⁡−1(n2/n1)\sin ^{-1}\left(n_2 / n_1\right)
  2. Bsin⁡−1n12−n22\sin ^{-1} \sqrt{n_1^2-n_2^2}
  3. C[tan⁡−1n2n1]\left[\tan ^{-1} \frac{n_2}{n_1}\right]
  4. D[tan⁡−1n1n2]\left[\tan ^{-1} \frac{n_1}{n_2}\right]

Correct answer

B. sin⁡−1n12−n22\sin ^{-1} \sqrt{n_1^2-n_2^2}

Step-by-step solution

Core of acceptance angle θ=sin⁡−1n12−n22\theta=\sin ^{-1} \sqrt{{n_1}^2-n_2^2}.
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