Problem 20: Consider 642 nm light falling on a single slit of width 19.5 μm. Randomized Variablesλ = 642 nm w = 19.5 μm Part (a) Find the angle, in degrees, of the third diffraction minimum for the light. Numeric : A numeric value is expected and not an expression. θ3 = __________________________________________ Part (b) What slit width (in micrometers) would place this minimum at 85.0°? Numeric : A numeric value is expected and not an expression. w' = __________________________________________

Problem 20: Consider 642 nm light falling on a single slit of width 19.5 μm. Randomized Variablesλ = 642 nm w = 19.5 μm Part (a) Find the angle, in degrees, of the third diffraction minimum for the light. Numeric : A numeric value is expected and not an expression. θ3 = Part (b) What slit width (in micrometers) would place this minimum at 85.0°? Numeric : A numeric value is expected and not an expression. w' =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 40PQ

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The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
Problem 18: Consider a single slit that produces its first minimum at 54° for 590 nm light.Randomized Variablesθ1 = 54 °θ2 = 67 °λ1 = 590 nm Part (a) What is the width of the single slit, w, in nanometers?Numeric : A numeric value is expected and not an expression.w = __________________________________________Part (b) Find the wavelength, in nanometers, of light that has its first minimum at 67°.Numeric : A numeric value is expected and not an expression.λ2 = __________________________________________
Problem 16: Consider a 570 nm light falling on a single slit of width 1.5 μm.Randomized Variablesλ = 570 nmw = 1.5 μm At what angle (in degrees) is the first minimum for the light?Numeric : A numeric value is expected and not an expression.θ = __________________________________________
Problem 17: Suppose a 1.8 μm wide slit produces its first minimum for 410 nm violet light.Randomized Variablesλv = 410 nmλv = 410 nmλr = 750 nmw = 1.8 μm Part (a) Calculate the angle at which this occurs for violet light in degrees.Numeric : A numeric value is expected and not an expression.θv = __________________________________________Part (b) Where is the first minimum (in degrees) for 750 nm red light?Numeric : A numeric value is expected and not an expression.θr = __________________________________________
Problem 17: Suppose a 1.8 μm wide slit produces its first minimum for 410 nm violet light.Randomized Variablesλv = 410 nmλr = 750 nmw = 1.8 μm Part (a) Calculate the angle at which this occurs for violet light in degrees.Numeric : A numeric value is expected and not an expression.θv = __________________________________________Part (b) Where is the first minimum (in degrees) for 750 nm red light?Numeric : A numeric value is expected and not an expression.θr = __________________________________________
if we have. L(the distance between two mirrors ) = 15 cm A = 1.06 µm d ( the cross section radius of the absorbing media ) = lo mm n ( reflection index ) = 1.8 y = 1.5*10-3 cm Pout ( laser output power (= 150 watt R1 ( Reflectance of first mirror ) = 100% R1 (Reflectance of second mirror ) = 97% Ar ( the spectrum linewidth for atomic transition ) = 20 GHz Calcu la te : a - How many node in laser output
An electric current through an unknown gas produces several distinct wavelengths of visible light. Consider the first order maxima for the wavelengths 403 nm, 428 nm, 511 nm, and 682 nm of this unknown spectrum, when projected with a diffraction grating of 5,000 lines per centimeter.Randomized Variablesλ1 = 403 nmλ2 = 428 nmλ3 = 511 nmλ4 = 682 nm Part (a) What would the angle (in degrees) be for the 403 nm line? Part (b) What would the angle (in degrees) be for the 428 nm line? Part (c) What would the angle (in degrees) be for the 511 nm line? Part (d) What would the angle (in degrees) be for the 682 nm line? Part (e) Using this grating, what would be the angle (in degrees) of the second-order maximum of the 403 nm line?
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
Problem 1: In a double slit experiment the first minimum for 415 nm violet light is at an angle of 42°. Randomized Variables 2 = 415 nm e = 42 ° Find the distance between the two slits in micrometers. d= 8 9 5 6 sin() cos() tan() 7 HOME cotan() asin() acos() E A 4 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END O Degrees O Radians Vol BACKSPACE DEL CLEAR +
Problem 5: Consider light that has its third minimum at an angle of 24.4° when it falls on a single slit of width 3.55 µm . Randomized Variables e = 24.4 ° w = 3.55 µm Find the wavelength of the light in nanometers. 2 = 789 E AAL 4 |5 | 6 1| 2 sin() cos() tan() HOME cotan() asin() acos() atan() acotan() sinh() 3 cosh() tanh() cotanh() END O Degrees O Radians vol BACKSPACE DEL CLEAR Submit I give up! Hint Feedback
Problem 4: Suppose a double-slit interference pattern has its third minimum at an angle of 0.258° with slits that are separated by 319 um. Randomized Variables 0 = 0.258° d = 319 µm > A Calcula the wavelength of the light in nm. Gr De-
Problem 2. A) A Michelson interferometer uses light of wavelength 500 nm. The irradiance of the beam exiting the laser is IL. What are the possible differences in the lengths of the arms of the interferometer when the irradiance at the detector is IL/3? B) Young's Double slit experiment is performed with HeNe laser wavelength 632.8 nm. The screen is 2 m from the slits and the slit separation is 0.2 mm. Find the distance of the 3th bright fringe from the center of the interference pattern on the screen (call the central bright fringe the "Oth" fringe).