In complete sentences please

The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.

What is quantum number?

The collection of numbers known as quantum numbers is used to describe an electron's position and energy in an atom. The four categories of quantum numbers are primary, azimuthal, magnetic, and spin quantum numbers.

Given that,

Eₙ = 2h²/mL²,

The equation for the energy of a particle of mass m confined to a one-dimensional box of length L is given by:

[tex]E_n = \frac{n^{2} h^{2}}{8mL^{2}}[/tex],

Equating this equation with the energy given in the question.

i.e. Eₙ = 2h²/mL².

We get,

[tex]\frac{n^{2} h^{2}}{8mL^{2}} = \frac{2h^{2}}{mL^{2}}[/tex]

[tex]\frac{n^{2}}{8} = 2[/tex]

[tex]n = \sqrt{16}[/tex]

n = 4

Therefore,

The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.

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By switching to a higher power objective lens, the working distance is shrunk while the overall magnification increases.

What is working distance of a microscope?

Working distances for high-power oil immersion objectives can be as low as 0.1 mm and as high as 50 mm for dissecting or stereo microscope objectives. As magnification, resolution, and numerical aperture rise, it falls. Most microscope objectives are made with limited operating distances in mind.

By switching to a higher power objective lens, the working distance is shrunk while the overall magnification increases. On the other hand, lowering the total magnification while extending the working distance by adding a reduction objective.

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In order to prevent overloading of any circuit, dual rail electrical supply includes independent tracks and P C B traces that are used to offset voltage sags between various circuits.

Using conductive paths, tracks, or signal traces etched from copper sheets laminated onto a non-conductive substrate, a printed circuit board, or PCB, is used to mechanically support and electrically link electronic components.

Semiconductors are used by practically all inverters to generate a controlled power output. An input voltage is rectified if the source has an ac input.

It is, therefore, the proper response.

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The relationship between a boats volume and the amount of mass is known as Archimedes' principle

Archimedes' principle states that an object displaces its personal weight in a liquid.

So calculate the weight of the boat from the mass. Calculate the quantity of liquid that has this equal weight. that is the quantity of boat underneath the waterline.

Divide that variety with the aid of the vicinity of the boat (duration instances width). this is the depth the boat sinks to.

what is Archimedes principle in easy words?

Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force identical to the burden of the displaced fluid. that is a primary condition of equilibrium. We take into account that the above force, referred to as pressure of buoyancy, is placed in the centre of the submerged hull that we name centre of buoyancy.

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it will take around 1,448 billion years for U-238 atoms to decay.

When a radioactive nucleus spontaneously releases excess energy, that energy is referred to as ionizing radiation. radiation from ions may manifest as alpha or beta particles. either gamma rays or particles. The action of Radioactive means to emit radiation.

U-238 has a radioactive half-life of 4.5 billion years, which is independent of the original concentration.

c₀ - initial concentration of U-238.

c - concentration of U-238 remaining at the time.

t = 4,5·10⁹ y.

First, calculate the radioactive decay rate constant λ:

λ = 0,693 ÷ t = 0,693 ÷ 4,5·10⁹ y = 1,54·10⁻¹⁰ 1/y.

ln(c/c₀) = -λ·t₁.

ln(0,8/1) = -1,54·10⁻¹⁰ 1/y · t₁.

t₁ = 1,448·10⁹ y.

Therefore, it will take around 1,448 billion years for U-238 atoms to decay.

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Explanation:

average speed= distance/time

=180÷3

=60 km/h

The correct answer is ±(- 1/√3, 1/√3, 1/√3)

a=i+j=<1,1,0)

b=i+j=<1,0,1>

c=+<(cos α, cos , cos γ)> are the unit vectors orthogonal to a and b (moving in the opposite direction).

Scalar product c.a=cos α+cos β=0

Similarly c.b=cos α+cosγ =0

c=±<-cos α, cos α, cos α>

The directions in each octant (the 2nd OX'YZ and 8th OXY'Z') are equally inclined to the axis.

cos α=± 1/√3

Thus the answer is ±(- 1/√3, 1/√3, 1/√3)

What is unit vector?

Both magnitude and direction are present in vector units. Sometimes, though, one is simply concerned with the direction and not the magnitude. In this situation, vectors are frequently regarded as having unit length. A scalar coefficient provides the magnitude, and these unit vectors are typically employed to express direction. Unit vector and scalar coefficients can be used to sum a vector decomposition.

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The Sun, Moon, and planets are the celestial bodies stay close to the ecliptic.

Objects in space such as the sun, moon, planets, and stars are known as celestial bodies or heavenly bodies. They are typically very far away from us and are a part of the vast universe we inhabit. The heavenly bodies are primarily seven celestial bodies.

The Sun, our star, and just about everything gravitationally connected to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, dwarf planets like Pluto, dozens of moons, and millions of asteroids, comets, and meteoroids, compose our solar system.

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The subway train is moving to the left and then comes to a stop, what direction is the acceleration will be towards right and will be positive.

The train comes to a stop, this means that the velocity gradually decreases. Hence, the acceleration must be positive and points towards the right.

velocity and acceleration:

velocity is the charge of alternate inside the position of an object, at the same time as acceleration is the rate of trade of the fee. consider the movement alongside a line. If the velocity and acceleration are in the same route, then the charge constantly will growth in time. inside the meantime, if the speed and acceleration are in contrary instructions, then the rate steadily decreases to 0 speed, reverses route, and now the velocity is in the identical path of the acceleration.

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1.428 s is the calculated time.

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

So here is the most straightforward formula for this:

+(1/2) *(9.81 m/s^ (2)) *t^ (2) = +10 m.

The result is that t = √ (20 m/ (9.81 m/s (2)))

=√ (2.039 s2)

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

vertical (and only) axis of a drawing must be pointed downward.

So here is the most straightforward formula for this:

+(1/2)*(9.81 m/s^(2))*t^(2) = +10 m.

The result is that t = √ (20 m/(9.81 m/s(2)))

= √(2.039 s2)

=1.428 s.

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Explanation:

GIVEN DATA

since P(momentum)=Mass×Velocity

F = P2 -P1

t

F= Mv2-Mv1

t

F=M( v2-v1) ,(a=v2-v1)

t t

ANSWER EXPLANATION IN WORDS

That question is related to Newton's second law of motion, the question ask you to find the force it gives you a mass and a acceleration As we know that the SI unit of acceleration is newton per kilogram or metre per second square It is correct to write metre per second square instead of Newton Per kilogram because because all of them are the SI unit of acceleration so that is the answer we get 686 Newton by Force .

At one location in the orbit, the altitude is 10,000 km.

Its perigee is the monthly location where it comes closest to Earth (this varies throughout the year).

The Moon’s apogee is the location where it is each month when it is the furthest away from Earth (this varies throughout the year as well).

The location on an object’s orbit around the earth that is furthest from the planet’s core, such as a satellite.

The distance at which an object orbiting a planet or satellite (like the moon) reaches that point.

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In cold:

An object's temperature is a measure of how much its atoms move — the colder an object is, the slower the atoms are.

In heat:Heating a substance makes its atoms and molecules move faster. This happens whether the substance is a solid, a liquid, or a gas.

When two objects of different temperatures come into contact with each other, equilibrium is reached and energy is transferred from the hotter object to the cooler object until the objects reach thermal equilibrium (that is, they are at the same temperature).  

When one object heats another, the increase in the temperature of one object is not always the same as the decrease in the temperature of the other, because the specific heat of one object is higher than the other.

Objects exchange thermal energy until they are at the same temperature. When two objects with different temperatures come into contact, they eventually achieve the same temperature. This is because of the thermal equilibrium.

Heat Transfer: Heat Transfer from Warmer Object to Cooler Object - When two substances at different temperatures are mixed, heat is transferred from a hotter object to a cooler object until the same temperature is reached (zero law of thermodynamics) - thermal equilibrium).

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reference group influences source would most likely build into your promotional message

Promoting something is all that promotional messages are. However, the secret to a successful promotional message is to avoid being overly pushy. What does "salesy" mean? messages that are unclear in terms of their value to a customer Messages that seem to be excessively promotional messages that lack a distinct call to action excessively capitalizing phrases or using buzzwords like "free" As we hinted at previously, several cell carriers discourage the usage of the word "free" and the capitalization of whole words when it comes to text marketing (TODAY, SALE, SIGN UP). The various phone providers may consider such approaches to be spam and limit their use. Your number might consequently be blocked, which would seriously hinder your capacity to converse.

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The mass flow rate of water is 0.087 Kg/s.

Contact tube diameter means no pressure head drop.

P=C heating done at P=C.

MC(T₁ - T₂) = Q = W

M × 1.015 (360-315) = 4000

M = 4000 / 1.015 × [tex]10^{3}[/tex] × 45

M = 0.087 Kg/s

Pressure is defined due to the fact the pressure of all the gasoline particle/wall collisions divided thru the vicinity of the wall: All gases exert strain ; it's far one of the important measurable portions of this phase of depend.

From the weather to air tour, strain performs a dramatic position in our lives. It plays especially vital roles at some point of chemical reactions. through manipulating stress, chemists can pressure chemical reactions to occur and the transitions among solids, beverages, and gases to boost up.

The primary unit of pressure is the pascal, described because the stress exerted with the useful resource of a pressure of one newton perpendicularly upon a place of one square meter.

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She decides to hit the dirt in -2.64 m/s in First equation and  2.59m in second equation.

Using 1st equation of motion,

V = u + at

-3.7 = 0 + a x 1.4

Acceleration,

a = - 2.64 m/s^2

Using 2nd equation of motion,

D = ut + 0.5 at^2

D = (3.7 x 1.4) - (0.5 x 2.64 x 1.4^2)

= 2.59 m

Sprint Speed, a Stat cast metric that was first used in the 2017 season, counts the number of feet per second a player covers in his quickest one-second span.

Currently, "qualifying runs" from these two groups are included in the metric:

• Runs from second base following an extra-base hit but eliminating runs of two bases or more on non-homers.

• Runs scored from first base to home on "tipped" or "weakly hit" balls.

A player's seasonal average is calculated using the best third of these runs on average.

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Complete question

At the surface of jupiter’s moon io, the acceleration due to gravity is g = 1.81 m>s 2 . a watermelon weighs 44.0 n at the surface of the earth. (a) what is the watermelon’s mass on the earth’s surface? (b) what would be its mass and weight on the surface of ?

Gravitational acceleration at the surface of Jupiter's moon Io is g = 1.81 [tex]\frac{m}{s^{2} }[/tex]. On the surface of the Earth, a watermelon weighs 44.0 N. The watermelon has a mass of 4.485 kg on the surface of Earth thus, it would have a mass of 4.485 kg and a weight of 8.117 N on the surface of Io.

Given data:

F = mg

Mass on the earth's surface

[tex]m = \frac{F}{g}[/tex]

[tex]m = \frac{44}{9.81}[/tex]

m = 4.485 kg

Mass will not vary from earth to moon(Io).

m = 4.485 kg

F = ma

Weight on the moon(Io's) surface

F = 4.485 × 1.81

F = 8.117 N

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For a project to be successful, the product owner should invest somewhere between 60 and 100 percent of their time and effort in it.

In many aspects of product development, the scrum product owner assumes leadership. They will eventually need to use their extensive market knowledge to plan and communicate their vision to stakeholders. They will have to put on their developer hats one more time in order to assist the team in achieving its sprint objectives. Depending on the technical and commercial factors of the situation, different levels of frequency are ideal, but generally speaking, one release every four to six iterations would be regarded as the maximum.

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The angular speed of the car's wheel in units of radians/second is determined as 31.42 radian per second.

The angular speed of the car's wheel is calculated as follows;

ω = 5 rev/sec

Convert the angular speed in revolutions per second to radian per second.

ω = 5 rev/sec x 2π rad/rev

ω = 10π rad/sec

ω = 31.42 rad/sec

Thus, the angular speed of the car's wheel in units of radians/second is determined as 31.42 radian per second.

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The velocity of a particle at time t is 4t³- 7, at time t = 3 is 101 ft/sec, and at rest is ∛7/4 sec.

The position of a particle at time t is

s(t) = t⁴ - 7t + 22, where t > 0

(A)  Velocity at time t is

V(t) = s'(t)

Or, V(t) = 4t³ - 7 × 1 + 0

Or, V(t) = 4t³- 7

Hence, the velocity at time t is 4t³- 7.

B) Velocity ar time t = 3 is

V(3) = 4(3)³- 7

Or, V(3) = 101 ft/sec

Hence, the velocity at time t = 3 is 101 ft/sec.

(C) When particle is at rest, V(t) = 0

Then, 4t³ - 7 = 0

Or, t³ = 7/4

Or, t = ∛7/4 sec

Therefore, the velocity at rest is ∛7/4 sec.

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According to the given question distance between these two points is 1.971m.

The distance can be a literal length as defined by physics or a general estimation based on other variables.  It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and the social sciences; psychological distance is the separation of an object from itself along dimensions including time, space, and isolation.

According to the question:

speed=frequency*wavelength

wavelength = 340/140 =2.428 m

phase difference=2pi× x/lamda

x=5.1*2.428/(2*pi)

x=1.97m

since v= f × wavelength

where v = speed of sound  and f = frequency

therefore wavelength  = v/f  = (340)/140 = (17/7)m

now, since Phase angle = (2×pi/wavelength)×shift

or, shift = phase angle × (wavelength/2×pi) = 5.1 × ((17/7)/2×pi) = 1.971m

Hence, the distance between these two points = 1.971m

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The tension on the wire is 52.02N.

Using the formula:

[tex]v = \sqrt{\frac{T}{u} }[/tex]

where, v = speed of sound wave

           T = tension in wire

           μ = mass per unit length

The area of aluminium wire is : [tex]\frac{\pi d^{2} }{4}[/tex]

Area = 1.66×[tex]10^{-5}[/tex][tex]m^{2}[/tex]

and μ = ρA = 2700×1.66×[tex]10^{-5}[/tex]

μ = 0.045kg/m

Therefore, tension is :

[tex]v = \sqrt{\frac{T}{u} }[/tex]

[tex]34^{2} = \sqrt{\frac{T}{0.045} }[/tex]

Solving for T we get, T = 52.02N.

Therefore, the tension on the wire is 52.02N.

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The two marbles are separated by around 133 m or 30 vehicle lengths.

It is possible to determine the distance between our marble and the most distant galaxies in the universe by first comparing the size of the Milky Way Galaxy to that of a marble.The Milky Way Galaxy is just around 2,000 LY (Light Years) thick and roughly 100,000 LY (Light Years) wide.

Let's continue using the conversion of:

1 cm = 100,000 LY

The Andromeda and Triangulum galaxies are two of the noteworthy members of the Local Group, a collection of galaxies nearby to our own. On this scale, we can assume that distance from Earth and distance from the edge of the Andromeda Galaxy are approximately 2.5 MLY (2.5 Million Light Years) apart.The galaxy spans about 220,000 LY. So let's determine where to place this marble:

2,500,000/100,000 = 25 cm

We may lay a marble to symbolise the Andromeda Galaxy that is nearly twice the size of our Milky Way Galaxy marble at 25 cm.

We can see farther as our observational equipment advances. A galaxy 13.3 BLY distant is the furthest object Hubble can currently observe .

So let's try placing the marble here:

13,300,000,000/100,000 = 13,300cm = 133m

To put this into context, the two marbles are separated by around 30 vehicle lengths.

See the reference pic below:

The complete question is: In a scale model of the Local Group of Galaxies, in which the Milky Way Galaxy was the size of a marble (about 1 cm in diameter), how far would it be from the Milky Way Galaxy to the most distant galaxies in the observable universe on this scale?

Yes, because it incorporates a second clarifying quotation from the expert, adding more weight to the argument presented in phrase 9.

Within a group of diplomats, negotiations and bargaining essentially consist of trying to get more than you are likely to get by negotiating, and eventually reaching a compromise. On occasion, foreign officials will join ongoing negotiations for assistance. Because it advances the interests under its purview and strengthens nations, states, and organizations, diplomacy is significant. The primary tool of foreign policy, which stands for the more general objectives and plans that direct a state's relations with the rest of the world, is diplomacy. Diplomatic negotiations and processes typically lead to international treaties, accords, alliances, and other manifestations of foreign policy. Diplomats may also provide government with advice to assist form a state's foreign policy.

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The magnitude of the resultant force is 11.4 N.

The resultant force is the force that has the same effect both in magnitude and in direction as the two or more forces acting at the same time. We know that force is a vector quantity, this implies that both the magnitude and the direction of the force are all important. This is why we have to factor in the direction of the force at all times.

Now, we can see that, it is possible to obtain the resultant force from the parallelogram law of vectors. We can see that;

R = √ P^2 + Q^2 - 2PQ Cos θ

P = 5 N

Q = 8 N

θ =  120°

R = √(5^2 + 8^2 - (2 * 5 * 8) cos 120

R = 11.4 N

The direction of the 5N force is obtained as;

Tan^-1 (8/5)

= 58 degrees

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Answer:

proton = charge is + (positive charge)

neutron = charge is 0 ( no charge - neutral)

electron = charge is - (negative charge)

hope this is what you meant :)

True, the length of the eye and the curvature of the cornea determine the refractive error of an eye. Hyperopia, or farsightedness, is produced by a shorter-than-normal eye.

With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.

Your ability to focus is influenced by how farsighted you are. People with severe farsightedness might only be able to see objects that are far away clearly, whereas people with mild farsightedness might be able to see objects that are nearby clearly.

Being farsighted can mean:

Nearby objects might seem hazy

Squinting is required to see clearly.

You experience eye pain or discomfort around the eyes as well as eyestrain.

After performing close work, such as reading, writing, using a computer, or sketching, for a while, you have general eye discomfort or a headache.

Your cornea or lens must be uniformly and smoothly bent to allow light to pass.

You have a refractive error if your cornea or lens are not uniformly and smoothly curved, which causes improper light refraction.

When your cornea is overly flat or your eyeball is shorter than normal, you develop farsightedness. Nearsightedness has the opposite impact.

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The correct option is A.

The advantage of using the scientific method is that it is having a well-cautious building of evidence-based understanding that is dependable and logical.

The scientific method includes rigorous observation in addition to logic as a system of reasoning for organizing but for deducing beyond what is known from observation. Induction, prediction, and analogy are only a few examples of different reasoning techniques.

Evidence, as used in legal contexts, is generally defined as information, facts, or data that supports (or refutes) a claim, assumption, or hypothesis. In reality, anything could qualify as proof provided it is deemed to be true, trustworthy, and pertinent.

Although scientists frequently utilize evidence in other ways, such as when applying ideas to real-world issues, scientific evidence is evidence that helps to either support or refute a scientific theory or hypothesis.

Generally speaking, scientific evidence is founded on the knowledge that has been acquired via the application of the scientific method. This indicates that the evidence's underlying assumptions have undergone testing and general acceptance in the scientific community.

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The answer for this word puzzle is given below. Question number 14 to 17 are missing.

All these questions are based on Newton's three laws of motion. The first law states that an object cannot move or stop until an external force is applied. The second law states that acceleration is based on the force applied on the object. The third law states that for every action there is an equal and opposite reaction.

Therefore, the answers for the questions in the word puzzle is mentioned above in order.

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