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(a) How wide is a single slit that produces its first minimum for 633-nm light at an angle of 28 . size 12{"28" "." 0°} {} ? (b) At what angle will the second minimum be?

(a) 1 . 35 × 10 6 m size 12{1 "." "35" times "10" rSup { size 8{ - 6} } `m} {}

(b) 69 . size 12{"69" "." 9°} {}

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(a) What is the width of a single slit that produces its first minimum at 60 . size 12{"60" "." 0°} {} for 600-nm light? (b) Find the wavelength of light that has its first minimum at 62 . size 12{"62" "." 0°} {} .

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Find the wavelength of light that has its third minimum at an angle of 48 . size 12{"48" "." 6°} {} when it falls on a single slit of width 3 . 00 μm size 12{3 "." "00"`"μm"} {} .

750 nm

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Calculate the wavelength of light that produces its first minimum at an angle of 36 . size 12{"36" "." 9°} {} when falling on a single slit of width 1 . 00 μm size 12{1 "." "00"`"μm"} {} .

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(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7 . 50 μm size 12{7 "." "50"`"μm"} {} . At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?

(a) 9 . 04º size 12{9 "." "04"°} {}

(b) 12

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(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20 . 0 μm size 12{"20" "." 0`"μm"} {} . (b) What slit width would place this minimum at 85 . size 12{"85" "." 0°} {} ? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics

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(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2 . 00 μm size 12{2 "." "00"`"μm"} {} . (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.

(a) 0 . 0150º size 12{0 "." "0150"°} {}

(b) 0.262 mm

(c) This distance is not easily measured by human eye, but under a microscope or magnifying glass it is quite easily measurable.

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(a) What is the minimum width of a single slit (in multiples of λ size 12{λ} {} ) that will produce a first minimum for a wavelength λ size 12{λ} {} ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?

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(a) If a single slit produces a first minimum at 14 . size 12{"14" "." 5°} {} , at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).

(a) 30 . size 12{"30" "." 1°} {}

(b) 48 . size 12{"48" "." 7°} {}

(c) No

(d) 1 = ( 2 ) ( 14.5º ) = 29º , θ 2 θ 1 = 30 . 05º 14 . = 15 . 56º size 12{2θ rSub { size 8{1} } = \( 2 \) \( "14" "." 5° \) ="29"°,~θ rSub { size 8{2} } - θ rSub { size 8{1} } ="30" "." "05"° - "14" "." 5"°=""15" "." "56"°} {} . Thus, 29º ( 2 ) ( 15 . 56º ) = 31 . size 12{"29"° approx \( 2 \) \( "15" "." "56"° \) ="31" "." 1°} {} .

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A double slit produces a diffraction pattern that is a combination of single and double slit interference. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern. (This will greatly reduce the intensity of the fifth maximum.)

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Integrated Concepts

A water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening. Ocean waves of 20.0-m wavelength approach the opening straight on. At what angle to the incident direction are the boats inside the harbor most protected against wave action?

23 . size 12{"23" "." 6°} {} and 53 . size 12{"53" "." 1°} {}

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Integrated Concepts

An aircraft maintenance technician walks past a tall hangar door that acts like a single slit for sound entering the hangar. Outside the door, on a line perpendicular to the opening in the door, a jet engine makes a 600-Hz sound. At what angle with the door will the technician observe the first minimum in sound intensity if the vertical opening is 0.800 m wide and the speed of sound is 340 m/s?

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Questions & Answers

A stone is dropped down a well, if it take 5 seconds to reach the water, how dip is the well
Mollamin Reply
an aircraft at as steady velocity of 70m/so eastwards at a height of 800me drops a package of supplies .a, how long will it take for the package to rich the ground? b, how fast will it be going as it lands?
Ng Reply
what is hypothesis theory law
Tamba
physics is the science of measurement
Jide Reply
What is physics
Victor Reply
what is physics
Obaro
Good question! Physics is the study of the nature world . Does this help?
Yonn
physics is the study of matter in relations to energy.
Enoch
physics is the science of measurements
Jide
physics is a science concern with nature and properties of matter and energy
Ugomma
what is a parallelogram law of motion?
Nancy
Definition for physics
Adesola Reply
It deal with matter and relation to energy
Soughie
physics is the Study of matter in relation to energy.
albert
physics is a natural science that study matter its behaviour and relation to energy.
mohammed
physic tells us more about quantities and measurement also
Kelly
life as we know it that can be measured and calculated
Jesus
what is a reference frame
Chukwu Reply
what is anatomy in relation to physics
Mubarak Reply
how does half life exist
Humble Reply
 The amount of time it takes a radioactive isotope to decay into a stable isotope is different for each radioactive isotope, and is characterized by its “half-life”. An isotope's half-life is the amount of time it takes for half the number of atoms of that isotope to decay to another isotope.
Nardine
what is the difference between Mass and weight
Pjustin
mass is constant while weight varies. unit of mass is kg, unit of weight is newton
Faith
how can a coin float in water and what principle governs it
Mercy Reply
in my opinion that work of surface tension but restrictions on coin is that coin do not break surface energy of molecules but some days before scientists prove that's another types of force
Aman
which force hold floating coins together thats my confusion
Aman
how can a coin float in water and what principle governs it
Mercy Reply
why many of the coin floating in water
Aman Reply
what is hook's law
Momoh Reply
provided the elastic limit is not exceeded,the extension produce in an elastic material is equal to the applied force
Mahmud
What is Andromeda
Chinecherem Reply
👡
Mahmud
What are the international agreed system of unit for physical measurements
Aisher Reply
m, kg, s
Faith
kg , m, s
Faith
si
Aman
meter , kilogram , second
Kelly
international system of units is agreed system because more units are not in mks system so si exist with ampere unit
Aman
what is thermodynasmics
Femkid Reply
what is electromagnetic force
Femkid
Electromagnetic force means a force that deals with electric and magnetic
Nebil
Practice Key Terms 1

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Source:  OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
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