JEE MAIN - Physics (2025 - 22nd January Evening Shift - No. 14)

A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of Green light of wavelength 550 nm . [Assume that the light is incident nearly perpendicular to the glass surface.]
68.7 nm
137.5 nm
94.8 nm
275 nm

Explanation

JEE Main 2025 (Online) 22nd January Evening Shift Physics - Wave Optics Question 6 English Explanation

For transmitted green light to be maxima, reflected green should be minima.

$$\begin{aligned} & \Delta \mathrm{P}=2 \mu_0 \mathrm{t}=\mathrm{n} \lambda \\ & \Rightarrow \mathrm{t}=\frac{\mathrm{n} \lambda}{2 \mu_0} \therefore \mathrm{t}_{\min }=\frac{\lambda}{2 \mu_0}=\frac{550}{2 \times 2}=137.5 \end{aligned}$$

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