WORD BANK:
base, derived, scalar, vector

1.) Displacement is ___ and ___
2.) Acceleration due to gravity is ___ and ___
3.) Position is ___ and ___
4.) Speed is ___ and ___
5.) Time is ___ and ___

Answer:

it should be decreased just so the camera focal can actually Focus properly

During the evacuation of a system containing large amounts of moisture, it may be necessary to prevent freezing by increasing pressure using a gas such as Nitrogen

The scientific name for nitrogen is N, and it is a flavorless and colorless element. The ground beneath our feet contains nitrogen, as does the water we drink and the air we breathe. In fact, nitrogen makes up the majority of the atmosphere on Earth, making up around 78% of the atmosphere.

Nitrogen, which is necessary for plant growth, can be "fixed" by lightning or given to soils through fertilizers. a flavorless gas with no color. The chemical industry depends on nitrogen. It is used to create explosives, nylon, nitric acid, fertilizers, and colors. Nitrogen is always represented as N2 when it is in a gaseous state. It belongs to the group of seven diatomic molecules.

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The electric field 4cm from the wire is

[tex]É = 10nc { }^{ - 1} [/tex]

Given:

charge is distributed uniformly along a long straight wire.

electric field 2cm from the wire is 20n/c

To find:

electric field 4cm from the wire

what is electric field?

Electric field is the region around charge particle or charged body in which if another charge is placed it experiences electrostatic force.An electric field is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

[tex]E  ∝ \frac{1}{r} [/tex]

[tex] \frac{E}{É} = \frac{r2}{r1} [/tex]

[tex] \frac{20}{ É } = \frac{4}{2} [/tex]

[tex]É = \frac{40}{4} [/tex]

[tex]É = 10nc {}^{ - 1} [/tex]

thus the electric field 4cm from the wire is

[tex]É = 10nc { }^{ - 1} [/tex]

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An electric motor has an effective resistance of 29. 4 ω and an inductive reactance of 42. 6 ω. When working under load. the rms voltage across the alternating source is 442 v.  The rms current will be  8.54 A

AC stands for “Alternating Current,” meaning voltage or current that changes polarity or direction, respectively, over time. AC electromechanical generators, known as alternators, are of simpler construction than DC electromechanical generators.

RMS or root mean square current/voltage of the alternating current/voltage represents the D.C current/voltage that dissipates the same amount of power as the average power dissipated by the alternating current/voltage. For sinusoidal oscillations, the RMS value equals peak value divided by the square root of 2.

I (RMS) = RMS voltage / [tex]\sqrt{R^{2}+ X_{L} { ^{2} }[/tex]

           =  442 / [tex]\sqrt{29.4^{2} + 42.6^{2} }[/tex]

           = 442 / [tex]\sqrt{864.36 + 1814.76}[/tex]

           = 442 / [tex]\sqrt{2679.12}[/tex]

           = 8.54 A

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The  bowling ball reaches the bottom first.

In the game of bowling, a bowling ball is a tough, spherical ball used to knock down bowling pins. The customary holes in ten-pin bowling and American nine-pin bowling balls are for the thumb and two other fingers. Five-pin bowling, candlepin bowling, duckpin bowling, and European nine-pin bowling all use balls with no holes that can fit comfortably in the palm of the hand. Ball motion and how it affects scoring are influenced by a complicated interplay of many different factors. The delivery of the bowler, the construction of the bowling ball, and the state of the lane can all be considered as contributing variables.

In a similar rolling race (no slipping), the two objects are a bowling ball and a circular hoop of unknown masses and radii. which reaches the bottom first?

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The potential difference across a and b is 15 v. determine the electrical charge on the 3 μf capacitor will be 45 *  [tex]10^{-6}[/tex] C

Capacitance, property of an electric conductor, or set of conductors, that is measured by the amount of separated electric charge that can be stored on it per unit change in electrical potential. Capacitance also implies an associated storage of electrical energy.

Charge (Q) stored in a capacitor is the product of its capacitance (C) and the voltage (V) applied to it. The capacitance of a capacitor should always be a constant, known value. So we can adjust voltage to increase or decrease the cap's charge. More voltage means more charge, less voltage... less charge.

charge = capacitance * voltage

Q = CV

   =  3  * [tex]10^{-6}[/tex] * 15 v

   = 45 *  [tex]10^{-6}[/tex] C

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Answer:

The law of conservation of momentum applies to a collision between two bodies since Select one 0 a they exert forces on each other respectively inversely proportional to their masses 00 they exert forces on each other respectively proportional to their masses their accelerations are proportional to their masses they ...

Answer:

The law of conservation of momentum applies to a collision between two bodies since they exert equal and opposite forces on each other.

Numerous final states are possible in collisions of elementary particles, but they are limited by the requirements of total energy and momentum conservation. It is necessary to utilize the relativistic formula for momentum and energy since high velocities are typically involved. These two laws provide two equations that may be used to determine which ultimate states are permitted by these two rules and which are not. For instance, it is conceivable to demonstrate that a photon cannot split into two gammas and that a second body, such as a nucleus, is required to satisfy both conservation principles. To forecast probabilities of various end stat configurations, a more thorough theoretical model of the collision is required.

Thank you,

Eddie

RED colour of light you should look for if you wanted to see a star behind the interstellar cloud.

In our galaxy and other galaxies, an interstellar cloud is often a buildup of gas, plasma, and dust. In other words, an interstellar cloud is a portion of the interstellar medium (ISM), the matter and radiation that is present in the space between star systems in a galaxy, that is denser than typical.

Interstellar dust has an extremely saturated orange to brownish-red tint that turns saturated red when there is a modest quantity of hydrogen emission.

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An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is 120

A telescope that is intended for seeing celestial bodies and does not need an image-erecting device is anastronomical telescope. While terrestrial telescopes are used to examine faraway objects on earth, astronomical telescopes are used to observe distant stars and planets.

While the final image in the terrestrial telescope is upright, the final image in the astronomical telescope is inverted.  Telescopes gather and enlarge the light coming from far-off objects. Observing things in the night sky presents challenges since they are so far away and, as a result, appear so dim. We can see these things more clearly the more light a telescope can gather.

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The ramp does 480J of useful work with an efficiency of 80% .

=480J

Thus, we can conclude that the useful work done by the ramp is 480J.

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An inductor is connected to an ac generator. As the generator's frequency increases, the current in the inductor decreases.

Inductors and chokes are basically coils or loops of wire that are either wound around a hollow tube former (air cored) or wound around some ferromagnetic material (iron cored) to increase their inductive value called inductance.

Inductors store their energy in the form of a magnetic field that is created when a voltage is applied across the terminals of an inductor.

The growth of the current flowing through the inductor is not instant but is determined by the inductors own self-induced or back emf value. Then for an inductor coil, this back emf voltage VL is proportional to the rate of change of the current flowing through it.

This current will continue to rise until it reaches its maximum steady state condition which is around five time constants when this self-induced back emf has decayed to zero. At this point a steady state current is flowing through the coil, no more back emf is induced to oppose the current flow and therefore, the coil acts more like a short circuit allowing maximum current to flow through it.

However, in an alternating current circuit which contains an AC Inductance, the flow of current through an inductor behaves very differently to that of a steady state DC voltage. Now in an AC circuit, the opposition to the current flowing through the coils windings not only depends upon the inductance of the coil but also the frequency of the applied voltage waveform as it varies from its positive to negative values.

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Answer: 10 m/s^2

Explanation:

So I think the answer might be 10 m/s^2, following the equation: d=1/2a(t^2).

Variables:

d=45(m)

t=3(s)

a=?

We know the variables "d" and "t" in the equation and have to solve for "a".

So when we plug it in it's:

45=1/2(a)(3^2)

45=1/2(a)(9)

45=4.5(a)

10=(a)

The speed of the spaceship relative to the galaxy is 0.99999995c.

A light-year measures distance rather than time (as the name might imply). A light-year is a distance a light beam travels in one year on Earth, which is roughly 6 trillion miles (9.7 trillion kilometers). One light-year equals 5,878,625,370,000 miles. Light moves at a speed of 670,616,629 mph (1,079,252,849 km/h) in a vacuum.We multiply this speed by the number of hours in a year to calculate the distance of a light-year (8,766).

The Milky way galaxy is 100,000 light years in diameter.

The galaxy's diameter is a mere 1. 0 ly.

We know that ;

[tex]L = L_0 \sqrt{1-\frac{v^2}{c^2} }[/tex]

L = 1 light year

L₀ = 100,000 light year

[tex]1 = 100,000 \sqrt{1-\frac{v^2}{c^2} }[/tex]

[tex]1 = 100,000 \sqrt{1-\frac{v^2}{(3*10^8)^2} }[/tex]

[tex]\frac{1}{100,000} = \sqrt{1-\frac{v^2}{c^2} }[/tex]

[tex]v = 0.999999995[/tex] [tex]c[/tex]

Therefore, the speed of the spaceship relative to the galaxy is 0.99999995c.

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It now radiates at a rate of 160 W.

The ratio of the energy emitted from a material's surface to the energy emitted from a blackbody, a perfect emitter with the same temperature, wavelength, and viewing conditions. It is a dimensionless number between 0 (for the ideal reflector) and 1. (for a perfect emitter).

Emissivity, which measures a material's capacity to emit infrared energy from its surface, is a crucial component of the ability to accurately measure temperature using either an infrared temperature sensor or a thermal imaging camera.

In addition to the material, a surface's emissivity also depends on the type of surface. In contrast to a roughened and oxidized metal surface, which will have a high emissivity, a clean and polished metal surface will have a low emissivity.

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Explanation:

answer this question Do goods that have secondary packaging influence your purchasing decisions? Why/why not?

The new acceleration of the rocket is equal to 3.72 g.

Acceleration can be demonstrated as the rate of change of velocity of a body with respect to time. The acceleration of a body can be defined as a vector quantity and can also be expressed as the second derivative of position w.r.t. time.

According to Newton's 2nd law of motion, the force acting on an object is equal to the multiplication of the mass of an object and acceleration.

F = ma

And, a = F/m

Therefore, the acceleration of a  given body is inversely proportional to the body's mass.

Given, the new force exerted by the rocket, Fnew = 46,458 N

The old force exerted by the rocket, Fold = 12,482 N

The ratio of forces:

[tex]\displaystyle \frac{F_{new}}{F_{old}} =\frac{46458}{12482} = 3.72[/tex]

[tex]\displaystyle \frac{a_{new}}{a_{old}} = 3.72[/tex]

[tex]\displaystyle {a_{new}} = 3.72\times {a_{old}}[/tex]

[tex]\displaystyle {a_{new}} = 3.72\times g[/tex]

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A particle moving at speed 0.24 c has momentum P₀. The speed of the particle is increased to 0.68 c then its momentum would be 2.85P₀.

Momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction.

Mathematically the formula of the momentum is

P = mv

where P is the momentum of the particle

m is the mass of the particle

v is the velocity by which the particle is moving

As mentioned in the question when the particle is moving with 0.24c velocity it has a momentum of P₀

P₀ = m*(0.24c)

If the speed of the particle is increased to 0.68 c the momentum would be

P=m*(0.68c)

by dividing the second equation from the first one

P₀/P = 0.24c/0.68c

P₀/P = 0.35

P =2.85P₀

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The angle between the transmission axes of the polarizers if it is desired that one-tenth of the incident intensity be transmitted, ∝ = 63.435°

We'll assume that [tex]I_{0}[/tex] represents the incident light's intensity. Two polarizers are provided to us, but the first polarizer's angle is not disclosed. The incident light in situations like this needs to be unpolarized. This is due to the fact that, regardless of angle, the transmitted intensity via the polarizer is reduced by half for unpolarized light:

[tex]I_{1} =\frac{1}{2} I_{0}[/tex]

Then,

[tex]I_{2} =\frac{1}{10} I_{0}[/tex]

By using Malu's law,

[tex]I_{2} =I_{1} cos^{2} \alpha[/tex]

That is,

[tex]cos^{2} \alpha = \frac{I_{2} }{I_{1} }[/tex]

In terms of [tex]I_{0}[/tex], we get

[tex]cos^{2} \alpha =\frac{0.1I_{0} }{0.5I_{0} }[/tex]

[tex]cos^{2} \alpha = 0.2[/tex]

Now the angle is,

[tex]cos\alpha =\sqrt{0.2}[/tex]

cos ∝ = 0.44721

[tex]\alpha =cos^{-1} (0.44721)[/tex]

Then, ∝ = 63.435°

This angle is measured with respect to the first polarizer angle.

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The three paths taken by incoming solar radiation are:

About 29 percent of the solar radiation that arrives at the top of the atmosphere is reflected back to space by clouds, atmospheric particles, or bright ground surfaces like sea ice and snow. This radiation plays no role in Earth’s climate system.

About 23 percent of incoming solar energy is absorbed in the atmosphere by water vapour, dust, and ozone, and

48 percent passes through the atmosphere and is absorbed by the surface. Thus, about 71 percent of the total incoming solar energy is absorbed by the Earth system.

Solar radiation, often called the solar resource or just sunlight, is a general term for the electromagnetic radiation emitted by the sun. Solar radiation can be captured and turned into useful forms of energy, such as heat and electricity, using a variety of technologies. However, the technical feasibility and economical operation of these technologies at a specific location depends on the available solar resource.

Every location on Earth receives sunlight at least part of the year. The amount of solar radiation that reaches any one spot on the Earth's surface varies according to:

DIFFUSE AND DIRECT SOLAR RADIATION

As sunlight passes through the atmosphere, some of it is absorbed, scattered, and reflected by:

This is called diffuse solar radiation. The solar radiation that reaches the Earth's surface without being diffused is called direct beam solar radiation. The sum of the diffuse and direct solar radiation is called global solar radiation. Atmospheric conditions can reduce direct beam radiation by 10% on clear, dry days and by 100% during thick, cloudy days.

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Perfect question! So to start,

⇒ Concepts: Relative, Velocity

(Relative: - adjective- existing or having its specific nature only by relation to something else; not absolute or independent. -noun- something having, or standing in, some relation or connection to something else).

Velocity:

(1) Rapidity of motion or operation; swiftness; speed.

(2) The time rate of change of position of a body in a specified direction

(3) The rate of speed which something happens; rapidity of action or reaction.

Now, let's get onto relative velocity.

Assume you are operating a vehicle and pass another vehicle from behind. Actually, what happens is that the driver of the car behind you notices the one approaching from behind and ultimately turns around. Although the driver in front perceives it that way, the person on the ground does not see the automobile as driving backward. Relative velocity is what it is.

When riding in a car, bus, or train, you may see that numerous exterior objects are moving backward, including trees, buildings, and other objects. But are they actually regressing? No, you're very sure that the only thing moving while the trees are still on the ground is your car. What gives, therefore, that the trees seem to be going backward? Also, even if your fellow passengers are moving, they will look immovable to you since they are moving.

It's because you and your other passengers are moving in unison within your frame. It follows that you and the passengers are moving at the same speed. The trees are still, but you are moving. Trees are therefore moving relative to you and the other passenger at a certain speed. The velocity differential between you and the tree is that relative velocity.

Thank you,

Eddie

a) U =  0 J

k = 0.383 J

E = 0.383 J

b) U = 0.0228 J

k = 0.155 J

E = 0.383 J

c) U = 0.1104 J

k = 0.272 J

E = 0.383 J

d) U = 0.248 J

k = 0.177 J

E = 0.383 J

The equations for kinetic energy is:

k= 1/2*m*[tex]v^{2}[/tex]

The equation for elastic potential energy is:

U= 1/2*ks*[tex]x^{2}[/tex]

Where,

m= mass of the block

v= velocity

ks= spring constant

x= displacement of the spring

U= 1/2*ks*[tex]x^{2}[/tex]

U= 1/2*552*[tex](0)^{2}[/tex]

  = 0 J

Kinetic energy:

k= 1/2*m*[tex]v^{2}[/tex]

k= 1/2*(1.05)*[tex](0.855)^{2}[/tex]

k= 0.383 J

Mechanical energy:

E= k + U

E= 0.383+0

E= 0.383 J

There will be no work done by friction or any other dissipative force, hence this energy will be conserved, or it will remain constant (like air resistance). This indicates that only spring potential energy will be created from the kinetic energy (there is no thermal energy due to friction, for example).

(b) spring potential = ?

U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]

U= 0.0228 J

Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:

E= k + U

0.383= k + 0.0228

k= 0.383 - 0.228

k= 0.155

(c)spring constant when x= 0.02

U= 1/2*552*[tex](0.02)^{2}[/tex]

U= 0.1104 J

Using the equation of mechanical energy:

E= k +U

0.383= k+ 0.1104

k= 0.383 - 0.1104

k= 0.272 J

(d) U= 1/2*552*[tex](0.03)^{2}[/tex]

U= 0.2484 J

E= 0.383 J

k = E - U

k= 0.383- 0.206

k= 0.177

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the molar mass of the given sample is 44.24kg.

To find the answer, we have to know about the concept of mole.

                      [tex]mole,n=\frac{m}{M}[/tex]

where, m is the given mass and M is the molar mass.

                      [tex]n=\frac{m}{M} \\M=\frac{n}{m}=\frac{0.5}{11.3*10^{-3}} =44.24kg[/tex]

                       [tex]m=n*M=1*44.24kg=44.24kg[/tex]

Thus, we can conclude that, the molar mass of the given sample is 44.24kg.

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There are three kinds of forces within the atom:

  i) Electromagnetic force of attraction between the electrons and protons

  ii) Electromagnetic force of repulsion between the protons or weak nuclear force

  iii) Strong nuclear force between the electrons and protons

The electromagnetic force of attraction:

Weak nuclear force:

Strong nuclear force:

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Answer:

1.)Electrons surrounding a nucleus are attracted to the protons within it because electrons and protons have opposite charges. Electrons closest to the nucleus are attracted with such a force that they can’t escape from the atom. These electrons tend to shield the protons from electrons that are farther away because electrons have the same charge and repel each other. Electrons that are farther away have less attraction to the protons within the nucleus and are more likely to be detached from the atom.

2.)Electrons can be transferred from atoms of one body to atoms of another body through friction. This can occur when one body is rubbed against another or when a liquid flows across a solid. In either case, one body may be given a positive charge while the other body is given a negative charge of the same magnitude. Both charges are developed at the same time. Electrons can also be transferred from one body to another when a charged body comes into contact with an uncharged body. The electrons move in the direction that will equalize the charges; thus, the uncharged body will be given the same charge as the charged body.

3.)Free electrons move from points of negative charge to points of positive charge. When these electrons move freely from one point to another with little resistance, the material they’re traveling through is said to be a conductor. Conductors have a large number of free electrons. Insulators, on the other hand, have very few free electrons and offer great resistance to the movement of these electrons. Electric charges produced on one end of a body composed of insulating materials will most likely not spread throughout the body. In a conductor, this charge would spread throughout the entire body. Metals are generally conductors; oils, rubber, air, porcelain, and plastics are good insulators.

4.)Lightning is produced by the rapid transfer of free electrons when one of the following conditions exist:

One part of a cloud is positively charged and a neighboring part of the same cloud is negatively charged.

A positively charged cloud comes near a negatively charged cloud.

A cloud with either a positive charge or a negative charge comes near the earth.

Explanation:

PENN FOSTER

We learned that We are in the disk of the Galaxy, about 5/8 of the way from the center.

Shapley, who was based in Boulder, Colorado, utilised Cepheid variable stars to determine the Milky Way Galaxy's size and the Sun's location within it through the use of parallax. He put out his "liquid water belt" theory, now referred to as the idea of a livable zone, in 1953.

Milky way Galaxy-

There are many stars, grains of dust, and gas in the Milky Way. It is known as a spiral galaxy because, from the top or bottom, it would appear to be whirling like a pinwheel. About 25,000 light-years from the galaxy's nucleus, the Sun is situated on one of the spiral arms.

Approximately 5/8 of the way from the galaxy's nucleus, we are in the disc. William Herschel believed that the Sun and Earth were about in the middle of the vast cluster of stars known as the Milky Way.

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The ecosystem refers to all of the living and nonliving things on earth that sustain life.

Ecosystem

An ecosystem, also known as an ecological system, is made up of all the organisms and the physical setting in which they live. The nutrition cycles and energy flows connect these biotic and abiotic elements. Photosynthesis is how energy enters the system and is absorbed by plant tissue. Animals play a significant part in the transfer of materials and energy through the system by eating plants and one another. They also have an impact on the biomass levels of the microbial and plant communities. In addition to facilitating nutrient cycling by transforming nutrients held in dead biomass back into a form that can be easily utilised by plants and microorganisms, decomposers also release carbon into the atmosphere through the breakdown of dead organic matter.

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The time taken for the tiny saliva to travel is 0.55 second.

The  horizontal distance traveled at speed of 4 m/s is 2.2 m.

The horizontal distance traveled at speed of 20 m/s is 11 m.

The time taken for the tiny saliva to travel is calculated as follows;

h = vt + ¹/₂gt²

where;

h = 0 + ¹/₂gt²

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

Substitute the given parameters and solve for time of motion;

t = √(2 x 1.5 / 10)

t = 0.55 second

X = Vx(t)

X = (4 m/s)(0.55)

X = 2.2 m

X = (20)(0.55)

X = 11 m

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Total rate at which electrical energy is dissipated

is 5W

Given:

Resistance = 5 ohm

To Find:

total rate at which electrical energy is dissipated

Solution:

The power dissipated in a resistor can be obtained by Ohm's law as P=VXI, where V = voltage and I = current. So, energy dissipated is given by P x t (time)

P = (I)^2R

Let's assume current given is 1

P = 1 x 5

P = 5 W

So, total rate at which electrical energy is dissipated is 5W

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Zinc metal (Zn) reacts with sulfur (S) to create zinc sulfide (ZnS), and the chemical reaction is: Zn (s) + S (s) = ZnS (s).

Importance of Zinc (Zn) and sulfur (S):

Chemical reaction -

In this experiment, heating a zinc(Zn) and sulfur(S) combination causes an interesting chemical reaction. A blinding flash of light, hot sparks, a hissing sound, and a cloud of white smoke in the shape of a mushroom are produced.

Therefore, the following chemical processes are taking place in the reaction: Zn (s) + S (s) = ZnS (s).

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Plane waves incident upon a small opening in a barrier will fan out and decrease in amplitude.

In physics, a plane wave is a special case of wave or field: a physical quantity whose value, at any moment, is constant through any plane that is perpendicular to a fixed direction in space.

For any position vector x in space and any time t, the value of such a field can be written as :

[tex]{\displaystyle F({\vec {x}},t)=G({\vec {x}}\cdot {\vec {n}},t),}[/tex]

[tex]{\displaystyle F({\vec {x}},t)=G({\vec {x}}\cdot {\vec {n}},t),}{\displaystyle F({\vec {x}},t)=G({\vec {x}}\cdot {\vec {n}},t),}[/tex]

where [tex]{\displaystyle {\vec {n}}}\vec[/tex] is a unit-length vector, and [tex]{\displaystyle G(d,t)}{\displaystyle G(d,t)}[/tex]  is a function that gives the field's value as dependent on only two real parameters: the time t, and the scalar-valued displacement

[tex]{\displaystyle d={\vec {x}}\cdot {\vec {n}}}{\displaystyle d={\vec {x}}\cdot {\vec {n}}}[/tex]

of the point [tex]{\displaystyle {\vec {x}}}{\vec {x}}[/tex] along the direction [tex]{\displaystyle {\vec {n}}}\vec[/tex]. The displacement is constant over each plane perpendicular to [tex]{\displaystyle {\vec {n}}}\vec[/tex].

The values of the field may be scalars, vectors, or any other physical or mathematical quantity. They can be complex numbers, as in a complex exponential plane wave.

When the values of F are vectors, the wave is said to be a longitudinal wave if the vectors are always collinear with the vector [tex]{\displaystyle {\vec {n}}}\vec[/tex], and a transverse wave if they are always orthogonal (perpendicular) to it.

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Number of rulings per centimeter for the grating 4.5 x 10^3 grooves/cm

Given:

wavelength of light = 635.00 nm

angle of first order = 38.0∘

To Find:

Length of slits marked on grafting

Solution: Grafting and budding are horticultural techniques used to join parts from two or more plants so that they appear to grow as a single plant

We use the grating equation dsinθ = mλ

d = mλ/sinθ

d = 1 x 635x10^-7 m/sin 38.0∘

d = 2189.6 x 10^-7 m

Thus the grating gauge is

1/d = 0.00045 x 10^7 = 4.5 x 10^3 grooves/cm

So, number of rulings per centimeter for the grating 4.5 x 10^3 grooves/cm

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