MHT CET · Physics · Ray Optics

White light consists of wavelengths range from \(480 \mathrm{~nm}\) to \(672 \mathrm{~nm}\). What will be the wavelength range when white light is passed through glass of refractive index 1.6?

A \(420 \mathrm{~nm}-672 \mathrm{~nm}\)
B \(300 \mathrm{~nm}-480 \mathrm{~nm}\)
C \(300 \mathrm{~nm}-420 \mathrm{~nm}\)
D \(300 \mathrm{~nm}-672 \mathrm{~nm}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(300 \mathrm{~nm}-420 \mathrm{~nm}\)

Step-by-step Solution

Detailed explanation

If wavelengths in air are \(480 \mathrm{~nm}\) and \(672 \mathrm{~nm}\), then wavelengths in a medium of refractive index 1.6 will be \(\frac{480}{1.6}=300 \mathrm{~nm}\) and \(\frac{672}{1.6}=420 \mathrm{~nm}\)

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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