A physics instructor wants to project a spectrum of visible-light colors from 400 nm to 700 nm as part of a classroom demonstration. She shines a beam of white light through a diffraction grating that has 500 lines per mm, projecting a pattern on a screen 1.9 m behind the grating. Part A How wide is the spectrum that corresponds to m = 1? Express your answer with the appropriate units. W₁ = .49 Submit Part B. m Previnue Aneware Remiect Answer How much distance separates the end of the m= 1 spectrum and the start of the m = 2 spectrum? Express your answer with the appropriate units. Ayzi = Value Units
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- Problem 2 This problem is composed of two independent parts. For all parts of this problem, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). Part 1 Visible light of frequency f = 6 x 10¹4 Hz is beamed directly at a metal reflector. Light is traveling in plastic, where its speed is 2 x 10 m/s. a) Calculate the wavelength of the visible light. λ = b) Consider X = 6.5 x 10-7 m. The spacing Ax between successive antinodes in the resulting standing-wave pattern is given by: c) 6.5 x 10-7 2 Ax= a) E₁= b) E₂ = m Calculate ∆r. Part 2) A standing wave is given by E= 600 sin( 4.14 a) cos( 14.42 t). Two waves E₁ and E₂ can be superimposed to generate this standing wave. x= m 6.5 x 10-7 3 Determine the wave E, as per the below: sin( t) m Determine the wave E₂ as per the below: sin( x + 6.5 x 10-7 4 c) The wavelength of this wave is 1.5 m. For a 20, what is the location of the antinode having the smallest value of x?Two slits spaced 0.0720 mm apart are 0.800 m from a screen. Coherent light of wavelength > passes through the two slits. In their interference pattern on the screen, the distance from the center of the central maximum to the first minimum is 3.00 mm. The intensity at the peak of the central maximum is 0.0300 W/m². Part A What is the intensity at point on the screen that is 2.00 mm from the center of the central maximum? Express your answer with the appropriate units. НА ? undo W I= 0.03141 m² Submit Previous Answers Request Answer x Incorrect; Try Again; 5 attempts remaining Part B What is the intensity at point on the screen that is 1.50 mm from the center of the central maximum? Express your answer with the appropriate units. ? A I = Value UnitsExcited potassium atoms emit deep-violet light at wavelengths 404.4 nm and 404.7 nm. Suppose light from a potassium lamp passes through a diffraction grating that has 960 slits per millimeter. Part A How far behind the grating must a viewing screen be placed so that the two first-order tringes are separated by 10 Express your answer with the appropriate units. L= 0.00238 m Submit Previous Anawace Bequest Answer X Incorrect; Try Again; 13 attempts remaining.
- Constants Periodi The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 530 lines/mm , and the light is observed on a screen 1.4 m behind the grating. Part A What is the distance between the first-order red and blue fringes? Express your answer to two significant figures and include the appropriate units. HA d = .11 m %3D Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide FeedbackA double-slit experiment is performed with light of wavelength 800 nm. The bright interference fringes are spaced 2.1 mm apart on the viewing screen. Part A You may want to review (Pages 832 - 937). What will the fringe spacing be if the light is changed to a wavelength of 350 nm? Express your answer with the appropriate units. HA ? Ay = Value Units Submit Request AnswerWhite light strikes a diffraction grating (625 lines/mm) at normal incidence. Part A What is the highest-order visible maximum that is formed? Express your answer to the nearest integer. |VLI ΑΣΦ m = 3 C ?
- Two sources of electromagnetic waves (light waves) are emitting coherent waves at a frequency of 717 THz. These two sources are located a distance d apart and aimed at point A, as shown below. If the top source is located a distance 3.0 meters away from point A, find the minimum, nonzero, distance d that will give constructive interreference. Enter your answer in millimeters. 4₁ Laser Laser d AA plastic film with index of refraction 1.70 is applied to the surface of a car window to increase the reflectivity and thus to keep the car's interior cooler. The window glass has index of refraction 1.52. Part A What minimum thickness is required if light of wavelength 550 nm in air reflected from the two sides of the film is to interfere constructively? Express your answer with the appropriate units. h = 00 μµÅ Value Units ?Two radio antennas A and B radiate in phase. Antenna B is a distance of 100 m to the right of antenna A. Consider point Q along the extension of the line connecting the antennas, a horizontal distance of 30.0 m to the right of antenna B. The frequency, and hence the wavelength, of the emitted waves can be varied. Part A What is the longest wavelength for which there will be destructive interference at point Q? Express your answer in meters. Π| ΑΣΦ λ = Submit Part B Request Answer λ = ? What is the longest wavelength for which there will be constructive interference at point Q? Express your answer in meters. Π ΑΣΦ m ? m
- Problem 4 For the parts the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). A thin film of soybean oil (nso = 1.473) is on the surface of window glass (nug = 1.52. You are looking at the film perpendicularly where its thickness is d = 1180 nm. Note that visible light wavelength varies from 380 nm to 740 nm. X b) m = ||| Which greatest wavelength of visible light is reflected? nm What is the value of m which reflects this wavelength?ANSWER #2 A-C from the image providedProblem 4 For the parts the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). A thin film of soybean oil (nso = 1.473) is on the surface of window glass (nug = 1.52. You are looking at the film perpendicularly where its thickness is d = 1574 nm. Note that visible light wavelength varies from 380 nm to 740 nm. a) λ = b) m= Which greatest wavelength of visible light is reflected? nm What is the value of m which reflects this wavelength?