# 27.5 Single slit diffraction  (Page 3/4)

 Page 3 / 4

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

(a) $1\text{.}\text{35}×{\text{10}}^{-6}\phantom{\rule{0.25em}{0ex}}\text{m}$

(b) $\text{69}\text{.}9º$

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

Find the wavelength of light that has its third minimum at an angle of $\text{48}\text{.}6º$ when it falls on a single slit of width $3\text{.}\text{00}\phantom{\rule{0.25em}{0ex}}\text{μm}$ .

750 nm

Calculate the wavelength of light that produces its first minimum at an angle of $\text{36}\text{.}9º$ when falling on a single slit of width $1\text{.}\text{00}\phantom{\rule{0.25em}{0ex}}\text{μm}$ .

(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width $7\text{.}\text{50}\phantom{\rule{0.25em}{0ex}}\text{μm}$ . At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?

(a) $9\text{.}\text{04º}$

(b) 12

(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width $\text{20}\text{.}0\phantom{\rule{0.25em}{0ex}}\text{μm}$ . (b) What slit width would place this minimum at $\text{85}\text{.}0º$ ? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics

(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 $2\text{.}\text{00}\phantom{\rule{0.25em}{0ex}}\text{μm}$ . (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) $0\text{.}\text{0150º}$

(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.

(a) What is the minimum width of a single slit (in multiples of $\lambda$ ) that will produce a first minimum for a wavelength $\lambda$ ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?

(a) If a single slit produces a first minimum at $\text{14}\text{.}5º$ , 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) $\text{30}\text{.}1º$

(b) $\text{48}\text{.}7º$

(c) No

(d) ${2\theta }_{1}=\left(2\right)\left(\text{14.5º}\right)=\text{29º},\phantom{\rule{0.25em}{0ex}}{\theta }_{2}-{\theta }_{1}=\text{30}\text{.}\text{05º}-\text{14}\text{.}5º\text{=}\text{15}\text{.}\text{56º}$ . Thus, $\text{29º}\approx \left(2\right)\left(\text{15}\text{.}\text{56º}\right)=\text{31}\text{.}1º$ .

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.)

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?

$\text{23}\text{.}6º$ and $\text{53}\text{.}1º$

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?

Calculate the work done by an 85.0-kg man who pushes a crate 4.00 m up along a ramp that makes an angle of 20.0º20.0º with the horizontal. (See [link] .) He exerts a force of 500 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate an
What is thermal heat all about
why uniform circular motion is called a periodic motion?.
when a train start from A & it returns at same station A . what is its acceleration?
what is distance of A to B of the stations and what is the time taken to reach B from A
BELLO
the information provided is not enough
aliyu
Hmmmm maybe the question is logical
yusuf
where are the parameters for calculation
HENRY
there is enough information to calculate an AVERAGE acceleration
Kwok
mistake, there is enough information to calculate an average velocity
Kwok
~\
Abel
what is the unit of momentum
Abel
wha are the types of radioactivity ?
what are the types of radioactivity
Worku
what is static friction
It is the opposite of kinetic friction
Mark
static fiction is friction between two surfaces in contact an none of sliding over on another, while Kinetic friction is friction between sliding surfaces in contact.
MINDERIUM
I don't get it,if it's static then there will be no friction.
author
It means that static friction is that friction that most be overcome before a body can move
kingsley
static friction is a force that keeps an object from moving, and it's the opposite of kinetic friction.
author
It is a force a body must overcome in order for the body to move.
Eboh
If a particle accelerator explodes what happens
Eboh
why we see the edge effect in case of the field lines of capacitor?
Arnab
what is wave
what is force
Muhammed
force is something which is responsible for the object to change its position
MINDERIUM
more technically it is the product of mass of an object and Acceleration produced in it
MINDERIUM
wave is disturbance in any medium
iqra
energy is distributed in any medium through particles of medium.
iqra
If a particle accelerator explodes what happens
we have to first figure out .... wats a particle accelerator first
Teh
What is surface tension
The resistive force of surface.
iqra
Who can tutor me on simple harmonic motion
on both a string and peldulum?
Anya
spring*
Anya
Yea
yusuf
Do you have a chit-chat contact
yusuf
I dont have social media but i do have an email?
Anya
Which is
yusuf
Where are you chatting from
yusuf
I don't understand the basics of this group
Jimmy
teach him SHM init
Anya
Simple harmonic motion
yusuf
how.an.equipotential.line is two dimension and equipotential surface is three dimension ?
definition of mass of conversion
Force equals mass time acceleration. Weight is a force and it can replace force in the equation. The acceleration would be gravity, which is an acceleration. To change from weight to mass divide by gravity (9.8 m/s^2).
Marisa
how many subject is in physics
the write question should be " How many Topics are in O- Level Physics, or other branches of physics.
effiom
how many topic are in physics
Praise
Praise what level are you
yusuf
If u are doing a levels in your first year you do AS topics therefore you do 5 big topic i.e particles radiation, waves and optics, mechanics,materials, electricity. After that you do A level topics like Specific Harmonic motion circular motion astrophysics depends really
Anya
Yeah basics of physics prin8
yusuf
Heat nd Co for a level
yusuf
yh I need someone to explain something im tryna solve . I'll send the question if u down for it
a ripple tank experiment a vibrating plane is used to generate wrinkles in the water .if the distance between two successive point is 3.5cm and the wave travel a distance of 31.5cm find the frequency of the vibration
Tamdy
hallow
Boniface
Boniface
the range of objects and phenomena studied in physics is
Boniface