Two plano-convex thin glass lenses are brought into contact with their spherical surfaces. Find the optical power of such a system if in reflected light with wavelength `lambda = 0.60 mu m` the diameter of the fifth bringht ring is `d = 1.50 mm`.

Two thin symmetric glass lenses, one biconvex and the other biconcave, are brought into contact to make a system with optical power Phi = 0.50 D . Newton's rings are observed in reflected light with wavelength lambda = 0.61 mu m . Determine: (a) the radius of the tenth dark ring, (b) how the radius of that ring will change when the space between the lenses is filled up with water.

The convex surface of a plano-convex glass lens comes into contact with a glass plate. The curvature radius of the lens's convex surface is R , the wavelength o flight is equal to lambda . Find the width Delta r of a Newton ring as a function of its radius r in the region where Delta r lt lt r .

A lens of diameter 5.0cm and focal length f = 25.0 cm was cut along the diameter into two identical halves. In the process, the layer of the lens alpha = 1.00 mm in thieckness was lost. Then the halves were put together to form a composite lens. In this focal plane a narrow slit was placed, emitting monochromatic light with wavelength lambda = 0.60 mu m . Behind the lens a screen was located at a distance b = 50 cm from it. Find: (a) the which of a fringe on the screen and the number of possible maxima, (b) the maximum width of the slit del_(max) at which the fringes on the screen will be still observed sufficiently sharp.

A plano-convex glass lens with curvqature radius of spherical surface R = 12.5 cm is pressed against a glass plate. The diameters of the tenth and fifteenth dark Newton's rings in reflected light are equal to d_(1) = 1.00 mm and d_(2) = 1.50 mm . Find the wavelength of light.

The convex surface of a plano-convex glass lens with curvature radius R = 40 cm comes into contact with a glass plate. A certain ring observed in reflected light has a radius r = 2.5 mm . Watching the given ring, the lens was gradually removed from the plate by a distance Delta h = 5.0 mu m . What has the radius of that ring become equal to?

At the crest of a spherical surface of a plano-convex lens there is a ground-off plane spot of radius r_(0) = 3.0mm through which the lens comes into contact with a glass plate. The curvature radius of the sixth bright ring when observed in reflected light with wavelength lambda = 655 nm .

A plano convex lens made of glass (n=1.5) has a focal length 10.0 cm. (i) calculate the radius of curvature surface. (ii) If an identical plano-convex lens is placed in contact with the first (plane surface facing each other), What will be the power of the combination ( in diopter) ? (b) An astronomical telescope consists of two convex lenses having focal length 80 cm and 4 cm. When it is normal adjustment, what is its : (i) length (ii) Magnifying power ?

For the Fabry-Perot etalon of thickness d = 2.5 cm find: (a) the highest order of interference of light with wavelength lambda = 0.50 mu m , (b) the dispersion region Delta lambda , i.e the spectral interval of wavelengths, within which there is still no overlap with orders of interference if the observation is carried out appoximately at wavelength lambda = 0.50 mu m .

A very thin prism has an apex angle A and its material has refractive index mu = 1.48 . Light is made to fall on one of the refracting faces at near normal incidence. Interference results from light reflected from the outer surface and that emerging after reflection at the inner surface. When violet light of wavelength lambda "= 400 nm" is used, the first construc- tive interference band is observed at a distance "d = 3.0 cm" from the apex of the prism. (a) Find the apex angle A. (b) If red light (lambda" = 800 nm") is used, at what distance from the apex will we observe the first constructive interfer- ence band.

The spherical surface of a plano-convex lens comes into contact with a glass plate. The space between the lens and the plate is filled up with carbon dioxide. The refractive indies of the lens, carbon dioxide, and the plate are equal to n_(1) = 1.50, n_(2) = 1.63 , and n_(3) = 1.70 respectively. the curvature radius of the spherical surface of the lens is equal to R = 100 cm . Determine the radius of the fifth dark Newton's ring in reflected light with wavelength lambda = 0.50 mu m .