Assume that the dots in the painting are separated by 1.5mm and that the wavelength of the light is vacuum= 560nm. Find the distance at which the dots can just be resolved by (a) the eye and (b) the camera.

A ray of monochromatic light is reflected and refracted, as shown in the figure, in the point “A” at the interface between material 1 with refractive index n1 = 1.54 (chloride of sodium) and material 2 with refractive index n2 = 1.77 (sapphire). The incident lightning forms an angle of 55 ° to the interface. The light that penetrates material 2, at point “A”, arrives then to point “B” at the interface between material 2 and material 3, which is air (n3 = 1), the interface through "B" being parallel to the interface through "A". In "B" part of the light is reflected and the rest enters the air. What is the angle of refraction in air? a) 62.04 ° b) 55 ° c) 29.93 ° d) 35 °

You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.635 m apart. At what distance, in kilometers, are you marginally able to discern that there are two headlights rather than a single light source? Take the wavelength of the light to be 537 nm and your pupil diameter to be 5.17 mm.

A laser beam is incident at an angle of 30.00to the vertical onto a solution of blood plasma in water. If the beam is refracted to 19.240 to the vertical: What is the index of refraction of the blood plasma solution?  Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find: Its wavelength. Its frequency. Its speed in the solution.  The critical angle for the blood plasma solution when surrounded by air

A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)

The figure shows a cross-section of a fiber optic core and the surrounding cladding. What is the largest entry angle θ for which light will successfully propagate down the fiber if entering from air?

A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm.  Part (a)  Find θ1 using n and λ1 in radians.   Part (b)  Find θ2 in radians.  Part (c)  Find the value of the wavelength of the second color λ2 in nm.