Visible light is incident perpendicularly on a diffraction grating of 201 rulings/mm. What are the (a) longest, (b) second longest, and (c) third longest wavelengths that can be associated with an intensity maximum at 0 = 33.0°? (Show -1, if wavelengths are out of visible range.)

Visible light is incident perpendicularly on a diffraction grating of 201 rulings/mm. What are the (a) longest, (b) second longest, and (c) third longest wavelengths that can be associated with an intensity maximum at 0 = 33.0°? (Show -1, if wavelengths are out of visible range.)

Problem 2: Consider light that has its third minimum at an angle of 23.6° when it falls on a single slit of width 3.55 μm. Randomized Variables 9 = 23.6° w = 3.55 um D Find the wavelength of the light in nanometers. λ=1 sin() cos() cotan() asin() atan() acotan() tanh() cosh() O Degrees Hints: 2% deduction per hint. Hints remaining: 2 Submit tan() JU acos() E sinh() cotanh() Radians Hint ( + 7 8 9 4 5 6 1 0 VO BACKSPACE Feedback 2 3 All content © 2022 Expert TA, LLC DEL HOME END I give up! Feedback: 2% deduction per feedback. CLEAR

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If a 600nm light is incident on a 300 lines/mm diffraction grating, what is the distance of the third order bright fringe from the central max given that the grating is 20cm from the screen.

To make a hologram using an Argon laser (1 = 0.488 µm), the maximum angle between objective and reference beams is 0max resolution (or spatial frequency) of the holographic recording film (fo – lines per mm)? 40°. What is the requirement on the minimum 0.633 um). Assume that z, When the hologram is reconstructed using a HeNe laser (A 10cm, z, = 2z,, Zp transversal and axial magnification (M; and Ma). = 00, please compute virtual and real image locations (Fz;), the

The full width at half-maximum (FWHM) of a central diffraction maximum is defined as the angle between the two points in the pattern where the intensity is one-half that at the center of the pattern. (See figure (b).) (a) Does the intensity drop to one-half the maximum value when sin²α = a²/2? (b) Is a = 1.39 rad (about 80°) a solution to the transcendental equation of (a)? (c) Is the FWHM AÐ = 2sin¹(0.442 A/a), where a is the slit width? Calculate the FWHM of the central maximum for slit width (d) 1.17 A, (e) 5.03 A, and (f) 11.7 A. 20 20 Relative intensity 15 10 0.8 0.6 a=2 0.4 0.2 5 05 8 (degrees) (a) 10 15 20 20 Relative intensity 1.0 0.8 0.6 -A0- 0.4 0.2 a= 52 20 15 10 5 0 5 10 15 20 (degrees) (b)

The 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: m

(a) How many fringes appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit pattern if λ = 691 nm, d = 0.120 mm, and a = 39.4 μm? (b) What is the ratio of the intensity of the third bright fringe to the intensity of the central fringe? (a) Number i 3 Units No units (b) Number 2.0E-4 Units No units