The speed of light in media \('A'\) and \('B'\) are \(2.0 \times\) \(10^{10} \,cm / s\) and \(1.5 \times 10^{10} \,cm / s\) respectively. A ray of light enters from the medium \(B\) to \(A\) at an incident angle ' \(\theta\) '. If the ray suffers total internal reflection, then

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Answer & Solution

Correct Answer

(D) \(\theta > \sin ^{-1}\left(\frac{3}{4}\right)\)

Detailed explanation

\(\sin i _{ c }=\frac{ n _{ r }}{ n _{ d }}=\frac{ C _{ d }}{ C _{ r }}=\frac{1.5 \times 10^{10}}{2 \times 10^{10}}\)

\(\sin i _{ c }=\frac{3}{4}\)

\(i _{ c }=\sin ^{-1}\left(\frac{3}{4}\right)\)

for T I R \(\quad \theta> i _{ c }\)

\(\quad \theta>\sin ^{-1}\left(\frac{3}{4}\right)\)

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