MHT CET · Physics · Ray Optics

For a light ray to undergo total internal reflection ( \(\mathrm{i}=\) angle of incidence, \(\mathrm{i}_{\mathrm{c}}=\) critical angle )

A light travels from denser to rarer medium and \(\mathrm{i} \lt \mathrm{i}_{\mathrm{c}}\).
B light travels from rarer to denser medium and \(\mathrm{i} \lt \mathrm{i}_{\mathrm{c}}\).
C light travels from denser to rarer medium and \(\mathrm{i}\gt\mathrm{i}_{\mathrm{c}}\).
D light travels from rarer to denser medium and \(\mathrm{i}\gt\mathrm{i}_{\mathrm{c}}\).

Verified Solution

Answer & Solution

Correct Answer

(C) light travels from denser to rarer medium and \(\mathrm{i}\gt\mathrm{i}_{\mathrm{c}}\).

Step-by-step Solution

Detailed explanation

So in order for total internal reflection to take place; The rays of light must travel from a dense medium to a less dense medium. The angle of incidence must be greater than the critical angle.

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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