be coated with a material (n = 1.40) that will make the lens nonreflecting for yellow-orange light (λλ = 515 nm) normally incident on the lens. What is the minimum

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We consider a Newton's rings experiment. It consists of a plano-convex glass lens of index of refractionn = 1.50 and radius r = 5.08 cm placed on a flat plate, as shown. When light of wavelength 636 nm is incident normally, 54 bright rings are observed, with the last one precisely on the edge of the lens. R a. What is the thickness t of the air layer at the edge of the lens? This corresponds to the maximum distance between the curved surface and the flat plate. um b. What is the radius of curvature R of the convex surface of the lens? m c. What is the focal length of the lens? Hint: use the lens maker equation. m

One important goal of astronomers is to have a telescope in space that can resolve planets like the earth orbiting other stars. If a planet orbits its star at a distance of 1.5 * 1011 m (the radius of the earth’s orbit around the sun) and the telescope has a mirror of diameter 8.0 m, how far from the telescope could the star and its planet be if the wavelength used was (a) 690 nm and (b) 1400 nm? Use the Rayleigh criterion and give your answers in light-years (1 ly = 9.46 * 1015 m).

A proposed "star wars" antimissile laser is to focus infrared light with 2.8-µm wavelength to a 50-cm-diameter spot on a missile 2500 km distant. Find the minimum diameter for a concave mirror that can achieve this spot size, given the diffraction limit. (Your answer suggests one of many technical difficulties faced by antimissile defense systems.)

An extremely thin sheet of glass is being inspected at the factory. Illuminated by white light at near-normal incidence, the film-like sheet is 0.429 µm thick and has air on both sides. If the glass has a refractive index of 1.52, what wavelength of visible light (in nm) does it reflect most strongly? (The wavelengths of visible light range from 400 to 700 nm.)

The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter spot the eye can produce on the retina if the pupil diameter is 2.41 mm? Assume light with a wavelength of λ = 550 nm. (Note: The distance from the pupil to the retina is 25.4 mm. In addition, the space between the pupil and the retina is filled with a fluid whose index of refraction is n = 1.336.)Hint: The size of the spot is twice the distance from the main axis to the first minimum.

Photography. A wildlife photographer uses a moderate telephoto lens of focal length 135 mm and maximum aperture f/4.00 to photograph a bear that is 11.5 m away. Assume the wavelength is 550 nm. (a) What is the width of the smallest feature on the bear that this lens can resolve if it is opened to its maximum aperture? (b) If, to gain depth of field, the photographer stops the lens down to f/22.0, what would be the width of the smallest resolvable feature on the bear?

The answer is wrong and it is not lamda/4n. Please help

Sophisticated cameras use a series of several lenses. Light can reflect from the surfaces of these various lenses anddegrade image clarity. To limit these reflections, lenses are coated with a thin layer of magnesium fluoride that causesdestructive thin film interference. What is the thinnest this film can be, if its index of refraction is 1.38 and it is designed tolimit the reflection of 550-nm light, normally the most intense visible wavelength? The index of refraction of glass is 1.52.