એક પ્રકાશનું કિરણ ઘટ્ટ માધ્યમમાંથી પાતળા માધ્યમમાં ગતિ કરે છે. પૂર્ણ આંતરિક પરાવર્તન માટે ક્રાંતિકકોણ \({\theta _{iC}}\) અને બ્રુસટરનો આપાતકોણ \({\theta _{iB}}\) એવી રીતે છે જેથી \(\sin \,{\theta _{iC}}/\sin \,{\theta _{iB}} = \eta = 1.28\) થાય.તો બે માધ્યમનો સાપેક્ષ વક્રીભવનાંક કેટલો મળે?

A \(0.2\)
B \(0.4\)
C \(0.8\)
D \(0.9\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(0.8\)

Step-by-step Solution

Detailed explanation

Here, \(\sin \theta_{i c} / \sin \theta_{i B}=1.28\) As we know, \(\mu=\frac{\sin \theta_{\mathrm{iB}}}{\sin \left(\frac{\pi}{2}-\theta_{\mathrm{iB}}\right)}\) where, \(\theta_{\mathrm{iB}}\) is Brewster's angle of incidence, And, \(\mu=\frac{1}{\sin \theta_{\text {ic }}}\)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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