Explain how the aperture geometry relates to the
diffraction pattern.

Answers

Answer 1

Answer:

The answer to this question is given below in the explanation section.

Explanation:

how the aperture geometry relates to the

diffraction pattern:

Diffraction is the spreading out of waves as they pass through an aperture or around objects.it occurs when the size of the aperture or obstacle is of the same order of magnitude as the wavelength of  the incident wave.For every small aperture sizes,the vast majority of the wave is blocked.For large apertures the wave passes by or through the obstacle without any significant of diffraction.

            in an aperture with width smaller than the wavelength,the wave transmitted through the aperture spreads all the way around the behave like a point sources of waves.

                             single slit diffraction pattern

The diffraction pattern made by waves passing through a slit of width [tex]\alpha[/tex] (larger than∫) can be understood by imagining a series of point sources all in phase along the width of the slit.The waves moving directly forward are all in phase,so they from a large central maximum.

                 if the waves travels at an angle Ф from the normal to the slit,then there is a path difference x between the waves production at the two end of the slit.

           x=a sinΦ

The path difference between the top and middle waves is λ/2 then they are exactly out of phase and cancel each other out. This happens to all consecutive pairs of waves (the ones produced by the second source from the top and the second source past the middle etc.)at the angle so there is no resultant wave at this angle.Thus a minimum is the diffraction pattern is obtained at

                                                   λ=α sinθ

Now slit can be divided into four equal sections and the pairing of sources to give destructive interference can be repeated for the top two section ,which is identical to the result of pairing off matching sources in the bottom two sections.in this case we obtained from the minimum.

             λ/2=α/4 sinθ

we can divided the slit aperture into six equal sections and pair off sources in the top two divisions and then the bottom two,to give destructive interference for every matched pair.The minimum of intensity are obtained at angles

                      nλ = α sinθ

where n is an integer (1,2,......),  but not n=0.There is a maximum of intensity in the center of the pattern. This process only gives the position of the minima,does not work for positions of the maxima,and so does not give the intensities of the maxima.


Related Questions


A toy rocket fires its engines to launch it straight up from rest. After a short time, the engine turns off and the
rocket continues before falling back to the ground. The velocity - time graph for the rocket's complete
journey is shown

At what time after launch does the engine turn off?

Answers

Answer:

at 10 seconds.. b/c that's when the velocity stops increasing..

Explanation:

A pitcher threw a baseball straight up at 35.8 meters per second. What was the ball's velocity after 2.50 seconds? (Note that, although the baseball is still climbing, gravity is accelerating it downward.)

Answers

Answer:

The velocity after 2.5 seconds is 11.3 m/s

Explanation:

Given;

u = 35.8 m/s

t = 2.50s

g = 9.8 m/s^2

Mathematically;

V = U-gt

Substituting these values;

V = 35.8-2.5(9.8)

V = 35.8-24.5

V = 11.3 m/s

The Flash is known as the fastest man on earth. In fact, he can easily run faster than
the speed of sound (340.3 m/s). If he starts at rest and then reaches the speed of
sound in 1l minutes, what is his acceleration in m/s?

Answers

Answer:

5.672/s^2 is his acceleration

Explanation:

1 minute is equal to 60 seconds. Take that and divide 340.3 by that.

En un lago helado se lanza un trozo de hielo de 500 g a la velocidad de 20 m/s. Si el coeficiente de rozamiento es de 0.04, calcula: a) La fuerza de rozamiento. b) La aceleración del trozo de hielo. c) El espacio recorrido por el trozo de hielo hasta detenerse.

Answers

Answer:

Sabemos que:

La masa del trozo de hielo es 500g

la velocidad inicial es 20 m/s

el coeficiente de fricción es 0.04

a) La fuerza de rozamiento de un objeto de masa M es escrita como:

F = M*g*μ

Y es en dirección opuesta al movimiento del objeto, entonces la rescribimos como:

F = -M*g*μ

Donde M es la masa del objeto, 500g, es útil escribirla en kilogramos, entonces podemos escribir M = 500g = 0.5 kg

g es la aceleración de la gravedad:

g = 9.8m/s^2

y μ es el coeficiente de fricción, en este caso es 0.04

Entonces la fuerza de fricción es:

F = -0.5kg*9.8m/s^2*0.04 = -0.196 N

b) Ahora queremos la aceleración, tenemos la segunda ley de Newton que dice:

F = M*a

-0.196 N = 0.5kg*a

(-0.196 N)/0.5kg = a = -0.392 m/s^2

c) Primero debemos escribir la ecuación de movimiento.

La aceleración es:

a = -0.392 m/s^2

Para obtener la velocidad, debemos integrar sobre el tiempo para obtener.

v(t) = (-0.392 m/s^2)*t + v0

Donde v0 es la velocidad inicial, en este caso 20m/s

Entonces la ecuación es:

v(t) = (-0.392 m/s^2)*t + 20m/s

Recordemos que esta fuerza solo actua mientras el objeto se mueva, esto significa que cuando la velocidad sea igual a cero, la fuerza desaparece, por lo tanto el objeto se detiene.

Entonces podemos obtener el valor de t para el cual la velocidad es igual a cero.

v(t) = 0 = (-0.392 m/s^2)*t + 20m/s

(0.392 m/s^2)*t  = 20m/s

t = 20m/s/(0.392 m/s^2) = 51.02 s

Esto significa que el objeto se va a mover por 51.02 segundos antes de detenerse totalmente.

Ahora, la ecuación de la posición puede obtenerse si integramos la ecuación de la velocidad, así obtenemos:

p(t) =  (1/2)*(-0.392 m/s^2)*t^2 + 20m/s*t + p0

donde p0 es la posición inicial del objeto.

Ahora, el espacio total recorrido por el trozo de hielo va a ser igual a la diferencia entre la posición final y la posición inicial, esto es:

D = p(51.02s) - p(0s)

D = ((1/2)*(-0.392 m/s^2)*(51.02s)^2 + 20m/s*51.02s + p0) - ((1/2)*(-0.392 m/s^2)*(0s)^2 + 20m/s*(0s) + p0)

D = (1/2)*(-0.392 m/s^2)*(51.02s)^2 + 20m/s*51.02s = 510.20 m

El trozo de hielo se mueve por 510.20 metros.

When a mirage occurs what are is being refracted?
1.the road or sand
2.water vapor
3.blue sky

Answers

Answer:

3. blue sky

Explanation:

I answered blue sky on my quiz and got it correct.

Answer:

Blue Sky

Explanation:

I also took the test :)

A hot air balloon rises at a constant speed of 13 meters/second relative to the air. There is a wind blowing eastwards at a speed of 0.7
meters/second relative to the ground. What is the magnitude and direction of the balloon's velocity relative to the ground? Use the Pythagorean
theorem to verify the answer.

Answers

Answer:

magnitude = 13.02 m/s

direction = 86.9 degrees relative to ground.

Explanation:

We need to compose the velocities in perpendicular directions using the Pythagoras theorem to find the magnitude of the composition:

magnitude of new velocity: [tex]\sqrt{13^2+0.7^2} \approx 13.02\,\,m/s[/tex]

The direction will be given by the angle relative to ground using the arctan function:

[tex]\theta=arctan(\frac{13}{0.7}) =86.9^o[/tex]

Answer:

According to the Pythagorean theorem, the magnitude of the balloon’s velocity relative to the ground is = 13.02 ≈13.0 meters/seconds. The direction of the balloon relative to the ground is 3° northeast.

Explanation:

Plato/Edmentum

Two iron bolts of equal Mass one at a hundred see another at 55 Sierra place in the insulated cylinder assuming the heat capacity of the container is negligible what is the final temperature inside the container

Answers

Answer:

[tex]T_2 = 77.5c[/tex]

Explanation:

From the question we are told that

Temp of first bolts[tex]T_1=100[/tex]

Temp of 2nd bolt [tex]T_2=55[/tex]

Generally the equation showing the relationship between  heat & temperature is given by

  [tex]q=cm \triangle T[/tex]

Generally heat released  by the iron bolt  = heat gained by the iron bolt

Generally solving mathematically

     [tex]-(0.45*m* (T_2-100 \textdegree c)) = 0.45*m*(T_2 -55\textdegree c)[/tex]

     [tex]-(T_2-100 \textdegree c)) = (T_2 -55 \textdegree c)[/tex]

      [tex]T_2 +T_2= 100 \textdegree c+55 \textdegree c[/tex]

      [tex]T_2=\frac{155 \textdegree c}{2}[/tex]

      [tex]T_2 = 77.5 \textdegree c[/tex]

Therefore [tex]T_2 = 77.5 \textdegree c[/tex] is the final temperature inside the container

Pedro has collected different kinds of rocks. He begins testing the rocks' hardness to see how they compare.

What is the best phrase to describe what Pedro is doing?
A.
asking a question
B.
conducting a scientific investigation
C.
reporting scientific results
D.
forming a prediction

Answers

Answer:

B is the answer to the question

why does a typhoon hit a location twice?

Answers

The reason a location usually doesn't get a storm within a few weeks of another one is more because of the general odds. They're low. And they're lower in Texas than in Florida. ... There are many locations a storm can develop and track

What biotic factors do the organisms in Movile Cave rely on?

Answers

Answer:

All cave animals and organisms fit into three categories. Placement into these categories depends on how much time the organisms actually spend in the cave.

The first type is known as Trogloxenes. You can think of trogloxenes as cave visitors. They come and go at will, but use the cave for specific parts of their life cycle (hibernation, giving birth, etc.) Although it spends specific parts of its life in the cave, it will never spend a complete life cycle in the cave.  Examples of animals that are All cave animals and organisms fit into three categories. Placement into these categories depends on how much time the organisms actually spend in the cave.

The first type is known as Trogloxenes. You can think of trogloxenes as cave visitors. They come and go at will, but use the cave for specific parts of their life cycle (hibernation, giving birth, etc.) Although it spends specific parts of its life in the cave, it will never spend a complete life cycle in the cave.  Examples of animals that are trogloxenes are:

-Bats

-Bears

-Skunks

-Raccoon

-Moths (sometimes)

Troglophiles are the next level. These are organisms that survive outside the cave, but may prefer to live outside of it. They leave the cave only in search for food. A troglophiles can chose to live its entire life either inside  or outside of a cave. Some examples of trogphiles are:

-Beetles

-Worms

-Frogs

-Salamanders

-Crickets

-Spiders

-Crayfish (sometimes)

Troglobites are animals that live in the cave but do not come out. They often have physical adaptions to the cave life like no vision, or loss pigment because light does not reach this part of the cave. Examples would be

-Snails that have thin white shells and small eyes

-Blind cave fish which has no eyes and no color

-Kauai Cave Wolf Spider which also has no eyes.

Bats are not true troglobites because they only use the cave for sleep, hiding and reproduction. There is about 50 000 troglobites in the world. are:

-Bats

-Bears

-Skunks

-Raccoon

-Moths (sometimes)

Troglophiles are the next level. These are organisms that survive outside the cave, but may prefer to live outside of it. They leave the cave only in the search for food. A troglophiles can chose to live its entire life either inside or outside of a cave. Some examples of trogphiles are:

-Beetles

-Worms

-Frogs

-Salamanders

-Crickets

-Spiders

-Crayfish (sometimes)

Troglobites are animals that live in the cave but do not come out. They often have physical adaptions to the cave life like no vision, or loss of pigment because light does not reach this part of the cave. Examples would be

-Snails that have thin white shells and small eyes

-Blind cavefish which has no eyes and no color

-Kauai Cave Wolf Spider which also has no eyes.

Bats are not true troglobites because they only use the cave for sleep, hiding, and reproduction. There are about 50 000 troglobites in the world.

1. You take a trip to Philadelphia to see a concert. Your older friend drives you there. The
concert is 75 miles away, and you make it there in and two hours. What was the average
speed?

Answers

Answer:

37.5

Explanation:

divide

how would u describe color to a color blind person?​

Answers

Like tastes and sents

A dragster finishes a race with a speed of 50 meters per second. The driver
deploys a drag chute which slows the car at a rate of -15 meters per second2.
Calculate the stopping distance of the dragster if only the drag chute is used
bring it to rest.

Answers

Answer:

83.3m

Explanation:

From the question we are given the following:

initial speed u = 50m/s

acceleration a = -15m/s²

final speed = 0m/s

Required

Stopping distance S

Using the equation of motion:

0² = 50²+2(-15)S

0² = 2500 - 30S

-2500 = -30S

S = 2500/30

S = 83.3m

Hence the stopping distance of the dragster if only the drag chute is used  bring it to rest is 83.3m

Question 1
A 4,697 kg helicopter accelerates upward at 2 m/s/s. What is the net upward
force exerted by the helicopter?

Answers

Answer:

9394 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 4697 × 2

We have the final answer as

9394 N

Hope this helps you

Find the direction cosines of cartesian coordinates (3, -1, 2).

Answers

Explanation:

vgfbhhhhhjhbgvbhggy

What is the block of 10 columns in the
middle of the table called?
A. Representative metals
B. Transition metals

Answers

b. transition metals for sure

What is vertical motion

Answers

Vertical motion is another word for motion that’s moving up for example horizontal motion would be left or right when moving

the movement of an object in a straight line. When an object is thrown up, it always comes down, this is due to gravity

what is the relationship between frequency and wavelenghts of an EM wave?

A.as wavelengths decreases, the frequency of the waves increases.

B.as wavelengths decreases,the frequency also decreases

C.the wavelength and the frequency has a direct relationship

D.there is no relationship existing between wavelength and frequency ​

Answers

Answer:

a...as wavelengths decreases ,the frequency of the waves increases.
A. The wavelength = v/f so the more bigger f, the smaller wavelength

3. Explain why the planets orbit the Sun and why the orbits are slower the further
away a planet is from the Sun.

Answers

Answer:

The closer a planet is to the Sun, the stronger the Sun's gravitational pull on it, and the faster the planet moves. The farther it is from the Sun, the weaker the Sun's gravitational pull, and the slower it moves in its orbit.

Jose has two bar magnets. He pushes the ends of the two magnets together and then lets it go. The magnets move quickly apart. Which of the following statements best explains why this happens
A.The north poles of the two magnets are facing each other.
B.One magnet is a north pole & one magnet is a south pole.
C.The ends of the magnets repel each other but the centers attract. D.One magnet is storing energy & one magnet is releasing energy.

Answers

Answer:

A. like poles repel or push apart

HELP?
if there is a junction with 4 wires and two of the wires are bringing in a current of 10 A and 7 A respectively, what would the combined amount of current coming out of the other two wires be?


If someone could explain to me, that'd be appreciated!

Answers

Answer:

17 A

Explanation:

hope it helps you

17 a is correct

There must be 17A flowing out of the other two wires

Electric current is a stream of moving electrons.

The number of electrons that leave a point has to be the same as the number of electrons that arrive there.

. If they arrive and don't leave, then there has to be a way to store them there, like a capacitor or a battery.

And if they're leaving but not arriving, then there has to be a tiny factory there, manufacturing electrons and shipping them out.

The whole idea is called "Conservation of electric charge". The idea is that charge can't be created or destroyed. If charge appears, it had to come from somewhere. And if you have some that you don't want, you have to send it somewhere, because it never just disappears.

There's actually a law in electronics that covers this nicely, called Kirchhoff's current law. It says that the sum of all currents entering a single point is zero. (current coming in is positive, current going out is negative). In other words, All current In and all current Out are equal.

Examine the following equation.

10n+23592U→310n+9236Kr+14156Ba+energy
0
1
n
+
92
235
U

3
0
1
n
+
36
92
K
r
+
56
141
B
a
+
e
n
e
r
g
y

Which type of nuclear reaction does the equation represent?

A)nuclear fusion
B)nuclear decay
C)radiation
D)nuclear fission

Answers

Answer:

E)brain decay

Explanation:

Looking at the question causes it.

Answer: D

Explanation: because

Attached here is the question:

Answers

Answer:

t = 6 [s]

Explanation:

In order to solve this problem we must first use this equation of kinematics.

[tex]v_{f}^{2}=v_{o}^{2} +2*a*x[/tex]

where:

Vf = final velocity = 0 (the car comes to rest)

Vo = initial velocity = 72 [km/h]

a = acceleration [m/s²]

x = distance = 60 [m]

First we must convert the velocity from kilometers per hour to meters per second.

[tex]72 [\frac{km}{h}]*\frac{1000m}{1km} *\frac{1h}{3600s} =20 [m/s][/tex]

[tex]0=(20)^{2} -2*a*60\\400 = 120*a\\a=3.33[m/s^{2} ][/tex]

Now using this other equation of kinematics.

[tex]v_{f}=v_{o}-a*t[/tex]

0 = 20-3.33*t

t = 6[s]

The use of force to move an object is BLANK .

Answers

Answer:

Work

Explanation:

The use of force to move an object is the definition of "work" in physics.

Answer:

the answer should be wave

A beaver build a dam behind the dam water forms a pond what effects could this have on the organisms living in the ecosystem

Answers

Answer:

The analysis for the particular situation is described elsewhere here.

Explanation:

Whenever a beaver constructs just one dam, this same dam ambushes or targets the water or liquid underneath to construct a pond.  Aquatic plants but also organisms, including lily pads, spring up throughout the body of water, as well as fallen leaves or harmful chemicals subsequently sinks to the ground to break down, becoming such a bacterial festive substance.  

Calculate the change in time for each quarter of the track. Record the change in time in Table C of your Student Guide

Answers

Answer:4 and 5

Explanation:it you add 1+3 and 2+3 it is 4 and 5

Draw a ray diagram to show the formation of an image when the object is placed beyond the ‘c’of a concave mirror.

Answers

the object is real inverted and diminishes

the most useful property of metalloids is their

Answers

Answer:

their ability to conduct electricity

Which refers to a diagram that shows thermal energy being released by objects?
thermogram
heat sensor
thermal radiator
radiation image

Answers

Answer:

The correct option is thermogram

Explanation:

A thermogram is an image that is produced by thermographic cameras that are usually used to detect radiation (thermal energy released by a body) within a long-infrared range of electromagnetic spectrum. This process is a part of infrared imaging science which is useful in the diagnosis of breast cancer and some other forms of tumors.

Answer:

thermogram

Explanation:

i took the test

A sloth moves 3 m to the right and then climbs 4 m up a tree.
How many degrees above the ground is the sloth compared to its initial position?

Answers

Answer:

The answer is 53.13

Explanation:

Cuz it is. It's not that hard

Answer:

A sloth moves 3 M to the right and then climbs 4 m up a tree.

How many degrees above the ground is the sloth compared to its initial position?

Answer: 53.1°

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