A plane monochromatic (λ = 490 nm) light wave normally falls on a narrow slit. The diffraction pattern is observed on the screen using a lens with a focal length of F = 40 cm. Find the distance between the midpoints of the line points in the spectrum of the first and second orders on the screen Δx, if the gap width a = 0.03 mm.

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 = 0.12 degrees, and the first light has wavelength λ1 = 530 nm. Part (a)  Find θ1 using n and λ1 in radians.  Part (b)  Find θ2  Part (c)  Find the value of the wavelength of the second color λ2 in nm.

A diffraction grating has a grating constant of 415 lines/mm. If composite light with wavelengths of 601 nm and 461 nm are incident upon the grating, what is there angular separation in the 1st order spectrum? Answer this with a positive number of degrees.

The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 34.2 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 431 nm. Provide your answer in millidegrees (mdeg). Answer: Choose... +

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.

A lens with an index of refraction of 1.60 is to 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 required thickness of the coating?