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It is necessary to coat a glass lens with a non reflecting layer if the wavelength of the light in the coating is λ, the best choice is a layer of material having an index of  refraction between those of glass & air and a thickness of what fraction of  λ ?
    Correct answer is '0.25'. Can you explain this answer?
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    It is necessary to coat a glass lens with a non reflecting layer if th...
    In order for the thin film layer to be non reflecting, it must cancel the reflected wavelength as in a destructive interference the change in wavelength as

    Since, the wave changes phase by π at the interface below air and the coating, and again at the second interface below coating and glass
    (Assume nair < ncoating < nglass). Destructive interference is thus given by a half integer wavelength change mλ/2 where the smallest change is 

    The correct answer is: 0.25
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    It is necessary to coat a glass lens with a non reflecting layer if th...
    Comparable to the thickness of the coating.

    When light passes through a medium with a different refractive index, some of it is reflected at the interface between the two materials. This reflection can reduce the amount of light transmitted through the lens and cause unwanted reflections.

    By applying a non-reflecting coating on the lens, the refractive index of the coating can be chosen in such a way that the reflection of light at the interface is minimized. This is achieved by ensuring that the thickness of the coating is equal to a quarter-wavelength of the incident light.

    At this thickness, the reflected waves from the front and back surfaces of the coating interfere destructively, resulting in minimal reflection. This allows more light to be transmitted through the lens, improving its efficiency and reducing unwanted reflections.

    Therefore, if the wavelength of the light in the coating is comparable to the thickness of the coating, it is necessary to coat the glass lens with a non-reflecting layer to minimize reflection and optimize light transmission.
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    It is necessary to coat a glass lens with a non reflecting layer if the wavelength of the light in the coating isλ,the best choice is a layer of material having an index ofrefraction between those of glass & air and a thickness of what fraction of λ ?Correct answer is '0.25'. Can you explain this answer?
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