Light of wavelength 617 nm is incident normally on a diffraction grating. Two adjacent maxima occur at angles given by sin 0 = 0.21 and sin = 0.35. The fourth-order maxima are missing. (a) What is the separation between adjacent slits? (b) What is the smallest slit width this grating can have? For that slit width, what are the (c) largest, (d) second largest, and (e) third largest values of the order number m of the maxima produced by the grating? (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i Units Units Units Units Units
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- In a Young's double-slit experiment, a set of parallel slits with a separation of 0.108 mm is illuminated by light having a wavelength of 584 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a third order bright fringe on the screen? answer in ?m (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern? answer in ?mIn a double slit experiment light of wavelength 650 nm passes through two 3.00 µm wide slits whose centers are 9.00 µm apart and is viewed on a screen 2.50 m away from the slits. (a) What is the distance along the screen between the second order maxima and the central maximum? (b) What is the ratio of the intensity of the second order maxima and the intensity of the central maximum? (c) How many interference maxima are visible in the central maximum of the diffraction envelope? (d) Include a sketch of the situation and a plot of the intensity versus position along the screen.Light of wavelength 585.0 nm illuminates a slit of width 0.60 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.91 mm from the central maximum? m(b) Calculate the width of the central maximum
- 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. CLEARMeasuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser-based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm. Lo Id Object Laser The device is used to shine a beam on an object located nearby. The…Light of wavelength 616 nm is incident normally on a diffraction grating. Two adjacent maxima occur at angles given by sin 0 = 0.26 and sin 0 = 0.37. The fourth-order maxima are missing. (a) What is the separation between adjacent slits? (b) What is the smallest slit width this grating can have? For that slit width, what are the (c) largest, (d) second largest, and (e) third largest values of the order number m of the maxima produced by the grating?
- Measuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser‑based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm . The device is used to shine a beam on an object located nearby. The interference…Light of wavelength 626 nm is incident normally on a diffraction grating. Two adjacent maxima occur at angles given by sin 0 = 0.26 and sin 0 = 0.34. The fourth-order maxima are missing. (a) What is the separation between adjacent slits? (b) What is the smallest slit width this grating can have? For that slit width, what are the (c) largest, (d) second largest, and (e) third largest values of the order number m of the maxima produced by the grating? (a) Number 6.26e-6 Units m (b) Number Units (c) Number Units (d) Number Units (e) Number UnitsThe 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)