λ0 = 500 nm and the refractive index of the glass is n=1.5,
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A Fresnel biprism placed midway between a point source and a screen
is used to obtain fringes from the source placed 2 m from the screen. If the wavelength of light is
λ0 = 500 nm and the refractive index of the glass is n=1.5,
what is the angle of the prism if the separation between fringes is 0.5 mm?
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- A diffraction grating with n = 3.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.38 degrees, and the first light has wavelength λ1 = 629 nm. a) Find θ1 using n and λ1 in radians. b) Find θ2 in radians.A convex lens is used to focus light waves to a pointwithin its focal length. The convex lens chosen has a refractive index is 1.5.This lens is placed over a glass plate in such a way it receives the incidentlight normally. What will be the radius of the 6th dark circle inthe achieved interference pattern of reflected rays from the air film created.Assuming the radius of curvature as 4m. The wavelength of the incident light is5890*10^-10mThe limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just‑resolvable points of light for a 6.25 mm diameter pupil, assuming the average wavelength of 539 nm? angle between two points of light: ° Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.20 m apart? greatest distance at which headlights can be distinguished: m What is the distance between two just‑resolvable points held at an arm's length (0.750 m) from a person's eye? distance between two points 0.750 m from a person's eye:
- B3The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of light for a 2.75 mm diameter pupil, assuming the average wavelength of 539 nm? angle between two points of light: Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.40 m apart? greatest distance at which headlights can be distinguished: m What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye? distance between two points 0.900 m from a person's eye: mWhite light strikes (a) a diffraction grating and (b) a prism.A rainbow appears on a wall just below the direction ofthe horizontal incident beam in each case. What is the colorof the top of the rainbow in each case? Explain.
- 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?