Explain how the aperture geometry relates to the
diffraction pattern.
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 \(\alpha\) (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.
Someone please help me ?
Click the card deck to view a card. Drag the card from the bottom to the correct category
Law of Inertia
Law of Acceleration
Law of reaction
Card 1
A hockey puck comes to a stop when it hits the hockey players stick
Card 2
Shot put exerts a force on the ground and an equal force to the shot .
Card 3
A golf ball is hit by a golf club
Card 4
Basketball player must use the appropriate amount of force to shoot
Card 5
Gravity pulls down on golf ball and tee is pushing up.
Card 6
A diver rotates faster when tuck is tightened
Card 7
An athlete can jump higher off a solid surface than an unstable one
Card 8
The larger force by a shot put thrower, the greater the acceleration
Card 9
A shot put will continue at a constant speed until it hits the ground.
Answer:
1 9 5 3 into law of inertia and 4 6 into law of acceleration and 2 7 8 into law of reaction
Law of Reaction: Cards 1, 3, and 9.
Law of Acceleration: Cards 2, 4, and 7
Law Of Inertia: Cards 5, 6, and 8
A car is traveling at 10 m/s. 10 seconds later the car is traveling 40 m/s. What is the car’s acceleration?
Answer:
a = 3 m/s^2
Explanation:
Vi = 10 m/s
Vf = 40 m/s
t = 10 s
Plug those values into the following equation:
Vf = Vi + at
40 = 10 + 10a
---> a = 3 m/s^2
The car is traveling with an initial velocity of 10 m/s, a final velocity of 40 m/s in the time period of 10 seconds, then the acceleration of the car is 3 m/s².
What is acceleration?Acceleration describes a change in an object's velocity. By accelerating, decelerating, or changing direction of motion, an object's velocity may change.
An apple falling to the ground, the moon orbiting the earth, and a car stopping at a set of traffic lights are a few examples of acceleration. With the aid of these illustrations, we may better see that acceleration occurs whenever a moving object modifies its direction, speed, or both.
The given values according to the question are,
Initial velocity, u = 10 m/s
Final velocity, v = 40 m/s and,
Time, t = 10 seconds.
Use the equation of motion to find the acceleration,
v = u + at
40 = 10 + (a)10
a = 30/10
a = 3 m/s².
Hence, the acceleration of the car is 3 m/s².
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The figure shows the position s of an object as a function of time t. Identify the intervals where the acceleration is positive. Consider only the intervals [0,10],[10,20],[20,30],[30,40], and [40,50] (Give your answer as an interval in the form (*,*). Use the symbol [infinity] for infinity, ∪ for combining intervals, and an appropriat type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Expres. numbers in exact form. Use symbolic notation and fractions where needed.)
To identify the intervals where the acceleration is positive, we need to examine the slope of the position-time graph since the slope represents the velocity, and the change in velocity over time gives us the acceleration.
About VelocityVelocity is a vector quantity that indicates how fast an object is moving. The magnitude of this vector is called speed and is expressed in meters per second. Velocity or speed: the quotient between the distance traveled and the time interval. Velocity or speed is a scalar quantity. Speed or velocity is the quotient of the displacement with the time interval. Speed or velocity is a vector quantity.
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how often do industrial oxygen cylinders need to be tested
Answer:
5 years\(\)
An airplane flying at 115 m/s due east makes a gradual turn following a circular path to fly south. The turn takes 15 seconds to complete. What is the radius of the curve that the plane follows in making the turn
Answer:
1100 m
Explanation:
To solve this problem, we must note that the airplane does not make a full circle. Instead, it turns from flying east to flying south. Check the attachment for a visual of this path.
We can use this equation:
\(\displaystyle v=\frac{d}{t}\)We are given the velocity and time of the airplane; therefore, we can solve for d in the equation.
\(\displaystyle d=vt\) \(\displaystyle d=(115)(15)\) \(d=1725\)The distance that the airplane travels is 1725 m.
Now, using our knowledge we know that the circumference of a circle is 2πr, and this is the distance traveled for an object in a circular motion.
However, in this problem, the airplane only travels for a fourth of a circular path, so we can use \(\displaystyle \frac{2\pi r}{4}\). This gives us 1/4 the circumference of a circle.
This is equal to the distance (1725 m) the airplane travels:
\(\displaystyle 1725=\frac{2\pi r}{4}\)Multiply 4 to both sides of the equation.
\(6900=2\pi r\)Divide both sides by 2pi.
\(r=1098.169107\) \(r \approx 1100\)The radius of the curve that the plane follows in making the turn is about 1100 m.
3. A car starts from rest and accelerates for
8.3 s with an acceleration of 2.5 m/s².
How far does it travel?
Answer in units of m. Your answer must
be within 3.0%
Answer in units of m
Answer:
86.1125 meters
Explanation:
Here is what we are given:
Initial Velocity - 0 m/s
Acceleration - 2.5 \(m/s^2\)
Time - 8.3 s
We can use this motion equation. This equation is derived from one of the common kinematics equations. It may not look familiar.
\(x=0.5t^{2}a\)
We can now substitute our values into the equation.
\(x=0.5*8.3^{2}*2.5\)
\(x=0.5*68.89*2.5\)
\(x=86.1125\)
What is the relationship between Newton first law of motion and inertia
Answer:
the relationship between Newton first law of motion and inertia is there are two types of inertia: 1. Inertia of rest
2. Inertia of motion
Newton first law states that the body at rest stays at rest until it is acted by external or unbalanced force that is inertia of rest or body in motion remain in motion unless it is acted by unbalanced force or external force and this is inertia of motion.
Inertia is the tendency of an object to remain at motion or in rest.
A murder has been committed and you are a juror at the trial. The prosecuting attorney has presented evidence that the victim put up a struggle and injured her assailant, drawing blood, prior to her demise. Blood typing was completed and the blood type matches the defendant's blood type. The prosecuting attorney states that this evidence is proof that the defendant is guilty of murder. As a juror, do you think the defendant is guilty of murder based on this evidence? Why or why not? If not, what other evidence do you think is needed?
The fact that the blood type matches that of the defendant is no proof that the defendant is guilty as charged.
There are about four blood types that people can have, these blood types are; A, B, AB and O. Everybody must posses one of these blood types. A person's blood type is determined through laboratory tests.
The prosecuting attorney was wrong in concluding that the defendant is guilty as charged only based on the blood type evidence. different people could have the same blood type. Only DNA analysis can conclusively prove that the defendant is actually guilty as charged.
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A machine makes work easier by reducing force and increasing:.
Machines generally act by reducing the force applied and making the distance moved by the force to be longer.
What is a machine?A machine is any device in which the effort applied at one end is used to overcome a load at the other end. The aim of machines is to make work easier.
Machines generally act by reducing the force applied and making the distance moved by the force to be longer.
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Calculate the Kinetic energy of: 1. a rabbit weighing 10
kg moving at a speed of 5 m/s.
Answer:
125
Explanation:
use the formula e=1/2mv² and use m=10 and v=5
this produces the equation e=1/2x10x25=125
dont forget the units (J) ;)
Answer:
125J
Explanation:
K.e=1/2mv^2
=1/2(10)(5)^2
=125J
How long does it take sound to travel 3525 meters (speed of sound is 330 m/s)?
where m and m are masses and r is the separation distance. the dimension of force is specified by the equation f
The equation of the force between the two masses separated by distance r, is determined as Gmm/r².
Equation of force between the two masses
The equation of the force between the two masses is determined from Newton's law of universal gravitation as shown below.
f = Gmm/r²
where;
G is universal gravitation constantm is mass in kgr is distance in mf is force in NThus, the equation of the force between the two masses separated by distance r, is determined as Gmm/r².
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A block of mass M is at rest on a ramp that is inclined at an angle θ with respect to the horizontal. Frictional forces are considered to be nonnegligible. The block is pushed against a spring and then held in place. The spring is compressed a distance of x1, and the spring is not secured to the block. The block is then released from rest, travels up the incline, and comes to rest after traveling a distance D, as shown above. Which of the following claims correctly describes the energy of the system under consideration from when the block compressed the spring and when the block has traveled a distance D along the incline? Select two answers.
See the image for choices
(B) The mechanical energy of the system consisting of the block does not change
(D) The mechanical energy of the system consisting of the block, spring and Earth increases by ¹/₂kx².
option B and D are the correct answers.
What is law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
Based on the law of conservation of energy, the total mechanical energy of a system is always conserved.
Mathematically, the formula for conservation of mechanical energy is given as;
M.A = K.E + P.E
where;
K.E is kinetic energyP.E is the potential energy of the systemWhen the block is placed at the given position, its mechanical energy does not change because the change in the kinetic energy of the block is equal to the change in potential energy of the block.
However, by compressing the spring, the block acquires stored elastic potential energy, this increases the total mechanical energy of the block and the entire system.
Mathematically, the formula for the stored elastic potential energy of the spring is given as;
U = ¹/₂kx²
where;
x is the compression of the springk is the spring constantThus, we can conclude the total mechanical energy of the system consisting of the block, spring and Earth increases by the stored elastic potential energy of the spring.
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MULTIPLE CHOICE QUESTION
Principal axis or optical axis is a virtual line that passes through
the center of the lens
the lower part of the lens
Principal axis or optical axis is a virtual line that passes through
the center of the lens.
What is lens?A lens is a transmissive optical tool that employs refraction to focus or disperse a light beam. A compound lens is made up of numerous simple lenses that are often aligned along a common axis, as opposed to a simple lens, which is made up of a single transparent piece.
Principal axis the line between the optical center and the centers of curvature of a lens's or a curved mirror's faces. Any one of three axis that are mutually perpendicular and around which a body has its greatest moment of inertia.
Principal axis or optical axis is a virtual line that passes through
the center of the lens.
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Which three statements about gravity and the formation of the solar system
are true?
A. Gravity pulled most of the matter into the center of the solar
system.
B. Gravity caused the planets and Sun to have spherical shapes.
O C. Gravity held the pieces of forming planets together.
D. Gravity evenly distributed matter throughout the solar system.
Answer:
it's answer is B
A planet is round because of gravity. A planet's gravity pulls equally from all sides. Gravity pulls from the centre to the edges like the spokes of a bicycle wheel. This makes the overall shape of a planet a sphere, which is a three -dimensional circle
Hope it helps you
shows the light intensity on a screen behind a double slit. the slit spacing is 0.20 mm and the screen is 1.7 m behind the slits. what is the wavelength (in nm ) of the light?
The wavelength of light is 619.04 nm.
Solution:
From the figure, the distance between four maxima Y = 2.0 cm
Distance between successive bright fringes Ay Y/4=0.5 cm = 0.005m
We know Ay - 2D d (1)
d = 0.20mm = 1.7 x 10m
D= 17m
From equation (1)
∧ =Δyd/D
∧ = 0.005×0.20×10⁻³/17 = 619.04 nm
Wavelength is the distance between identical points in adjacent cycles of a waveform signal propagating in space or along a wire. In wireless systems, this length is usually expressed in meters, centimeters, or millimeters. Wavelength is the distance between two wave crests and the same for wave troughs.
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How can you double the acceleration of an object if you cannot alter the object’s mass?
plz helpppp
Answer:
If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.
Explanation:
you can double the net force
Calculate:
a) Frequency of the wave produced
b) wavelength of the wave produced
c) The amplitude of a wave is now doubled.What is the value in meters, of the new amplitude of the wave
As the frequency decreases, the wavelength gets longer.
What happens if you double the amplitude of a wave?The amplitude of a wave determines its loudness. The loudness increases as the amplitude increases. The amplitude of a sound is exactly proportional to its loudness. When the amplitude is twice, the loudness is multiplied by four. If the wavelength and speed of a wave are known, they may be used to calculate the frequency using the equation f=v f = v, where is the wavelength in meters and v is the speed of the wave in meters per second. This also provides the wave's frequency in Hertz.
The height of a wave is measured from the highest point on the wave (peak or crest) to the lowest point on the wave.
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an asteroid is in orbit at 4 times the earth's distance from the sun. what is its period of revolution?
Time Period of revolution of the astreoid around the sun is P = 8\(\sqrt{D^{3} }\) days.
What is time period of revolution ?The length of time it takes an astronomical object to complete one orbit around another object is known as the orbital period. In astronomy, it often refers to bodies like planets or asteroids revolving about the Sun, as well as moons circling other stars, exoplanets, and double stars.
In other words, the cube of the semi-major axis of any planet's orbit is equal to the square of the period of that planet's revolution around the sun. Despite the fact that all planetary orbits are elliptical, all save Pluto's are close enough to circular shapes to allow the word "radius" to be used instead of "semi-major axis." In other terms, the cube of a planet's distance from the sun (d) is equivalent to the square of a planet's period (P)
Let the distance of Earth from sun be D km
Distance of Astroid from sun is 4D km
Time taken by Astroid to orbit sun be P days
Then,
P²= (4D)³
P = 8\(\sqrt{D^{3} }\)
Time Period of revolution P = 8\(\sqrt{D^{3} }\) days.
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Some people say that based on the arrangement of its molecules, glass should be considered a liquid. If we
think of glass as a liquid, in which of these properties is it most unlike other common liquids?
A. Weight
B. Density
C. Transparency
D. Viscosity
If we consider glass as a liquid, it is most unlike other common liquids in terms of its viscosity.
The term "viscosity" describes a liquid's internal friction or resistance to flow. Common liquids like water, oil, or alcohol exhibit varying levels of viscosity, with some flowing more easily than others.
However, glass, despite being considered a supercooled liquid, has a significantly higher viscosity compared to other common liquids.
Glass is an amorphous solid that undergoes a gradual transition from a rigid state to a more fluid-like state with increasing temperature. However, this transition occurs over an extremely long time scale, making the flow of glass practically imperceptible under normal conditions. It has an extremely high viscosity so it acts more like a solid and resists flow, unlike typical liquids.
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The speed of all electromagnetic waves is 3. 00 × 108 meters per second. What is the wavelength of an X-ray with a frequency of 1. 18 × 1018 Hz? 2. 54 × 1026 meters 3. 93 × 109 meters 2. 54 × 10-10 meters 3. 93 × 10-11 meters.
Elements are.........made of the same type of...........they cannot be.........down chemically.There are about........in total.Most elements are metals.They are.............in appearance and are good.........of heat and..........Compounds are made from............ or more elements chemically...........
Elements are one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
Elements are made up of identical atoms. It is generally said that the atoms that make up an element are the same and different from atoms of other elements.
Compounds, on the other hand, are substances formed by chemical bonding of two or more elements in definite proportions by weight.
Examples of elements are Calcium, Pottasium, Neon, Rubidium, Hydrogen etc. These elements contain atoms that are identical. Chemical elements on the periodic table are about 118 in number arranged in accordance with their atomic number.
When two or more elements chemically combine, they for chemical compounds. Examples are carbondioxide, water, ethane, ethanol etc.
Majority of the elements are metallic, meaning that they have characteristics such as shiny appearance, good conductors of heat and electricity etc.
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hey guys can y’all help quickly?
how to induce a positive temporary charge on the right side of a metal ball
Answer:
Temporary? You have two options
If you have a positively charged object, bring it close to the LEFT side of the ball (not touching it!).
If you have a negatively charged object, bring it close to the RIGHT side of the ball (again, not in contact).
Either way, the electron cloud will migrate towards the right side of the of your sphere.
Another option is to have a capacitor large enough to house the sphere inside it, and polarize it by attaching it to a DC source making sure that the negative plate of it is to the right of the sphere.
PLS HELP WTH THIS FOR BRAINLIEST
Answer:
1. Pioneer
2. Primary
Explanation:
Pioneer Species are the first organisms to colonize barren environments.
Primary Succession is the development of an ecosystem of a barren environments!
I hope this helped! :)
Answer:
The first answer is Pioneer and I think the second is Primary
Explanation:
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of 5m/s^2, the reading of the spring balance will be: 24 N 17 N 15 N 49 N
The reading of the spring balance will be less than 49 N. None of the provided options (24 N, 17 N, 15 N, 49 N) accurately represents the reading in this scenario.
How to calculate the reading of the spring balance?When the lift moves downward with an acceleration, the effective weight experienced by the man and his bag will be reduced. This is due to the fact that the acceleration of the lift opposes the force of gravity, resulting in a net downward force smaller than the actual weight.
To calculate the reading of the spring balance in this situation, we need to consider the forces acting on the man and his bag.
Gravitational force (weight): The weight of the man and his bag is given by W = m * g, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Tension in the spring: The spring balance measures the tension in the spring, which is equal to the net force acting on the man and his bag.
Considering the downward acceleration of the lift, the net force acting on the man and his bag can be calculated as follows:
Net force = W - m * a
Where a is the acceleration of the lift.
Given that the weight (W) is 49 N and the downward acceleration (a) is 5 m/s^2, we can substitute these values into the equation:
Net force = 49 N - m * 5 m/s^2
To find the reading of the spring balance, we need to find the value of m that satisfies the equation. Since the mass is not provided, we cannot determine the exact reading. However, we can conclude that the reading will be less than 49 N, since the net force is smaller than the weight.
Therefore, the reading of the spring balance will be less than 49 N. None of the provided options (24 N, 17 N, 15 N, 49 N) accurately represents the reading in this scenario.
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i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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PLSSSSS HELPPPPPPP QUICKKKK
Because all movement begin in the spine and radiate through the body.
option A.
What controls moment of the body?The brain, situated in the cranial cavity is an important internal organ. It is the control center of our body. It controls the movements and all that we do.
The component of the central nervous system are;
the brain and the spinal cordThe spinal cord plays a crucial role in coordinating movement and relaying signals between the brain and the rest of the body.
So we can conclude that paralysis often results from severe spinal injuries because the spinal cord is a critical pathway for transmitting signals between the brain and the rest of the body.
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What geologic forces drive tectonic movements?
A- Earth's rotation, geothermal activity, gravitational forces
B- plate subduction, convergence and divergence
C- Earth's orbit, solar winds, electromagnetic waves
D- seismic movement, volcanic activity, plate tension
Seismic movement, Volcanic Activity, Plate Tension
Molecules can be made up of two atoms of the same element;
cxygen gas is made up only of oxygen atoms.
A. for example
B. most importantly
C. on the other hand
D. therefore
Molecules can be made up of two atoms of the same element for example oxygen gas is made up only of oxygen atoms.
Molecules of an element :Two or more atoms of the same or different element that are joined together to form a molecule are referred to as molecules. A molecule can be heteronuclear, which is a chemical compound made up of more than one element, like water, or homonuclear, which means it is made up of atoms of one chemical element, like oxygen (O2) (H2O).
Difference between molecule and compound :When two or more atoms from the same element chemically combine, a molecule is created. A compound is created if the types of atoms differ from one another. Not all molecules are compounds because some molecules, like ozone (O3) and oxygen gas (pictured above), only contain one type of atom or element.
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