The Thomson model of a hydrogen atom is a sphere of positive charge with an electron (a point charge) at its center. The total positive charge equals the electronic charge e. Prove that when the electron is at a distance r from the center of the sphere of positive charge, it is attracted with a force F=\frac{e^2r}{4\pi\varepsilon_oR^3} where R is the radius of the sphere.

Answers

Answer 1

Answer:

E = (1 / 4π ε₀ )  q r / R³

Explanation:

Thomson's stable model that the negative charge is mobile within the atom and the positive charge is uniformly distributed, to calculate the force we can use Coulomb's law

       F = K q₁ q₂ / r²

we used law Gauss

Ф = ∫ E .dA = q_{int} /ε₀

E 4π r² = q_{int} /ε₀  

E = q_{int} / 4π ε₀ r²

we replace the charge inside  

E = (1 / 4π ε₀ r²) ρ 4/3 π r³  

E = ρ r / 3 ε₀

the density for the entire atom is  

ρ = Q / V  

V = 4/3 π R³  

we substitute  

E = (r / 3ε₀ ) Q 3/4π R³  

E = (1 / 4π ε₀ ) q r / R³


Related Questions

Question 5 0/1pts Scalar (dot) product: If=41-1+4k and B-xÎ +27-5X find x so B will be perpendicular to​

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Refer to the photo taken.
Question 5 0/1pts Scalar (dot) product: If=41-1+4k and B-x +27-5X find x so B will be perpendicular to

A proton of mass 1.67 x 10-27 kg (the charge of a proton is 1.6 x 10-19 C) enters the region between two parallel plates a
distance 28.0 cm apart. There is a uniform electric field of 3.00 x 104 V/m between the plates. If the initial speed of the
proton is 5.00 x 106m/s what is it's final speed?

Please help me

A proton of mass 1.67 x 10-27 kg (the charge of a proton is 1.6 x 10-19 C) enters the region between

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The answer to the question is 72773

nervous tissue is made up of newrogila and what other type of cell

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The nervous tissue consists of two types of cells one is known as glial cells while the other is known as neurons.

The nervous tissue comprises neuroglia and what other type of cell?

The nervous system is very complex. We know that there are only two types of cells in the nerve tissue. The actual nerve cell is known as a neuron. The neuron is the conducting cell that can transmit impulses and the structural units of the nervous system. There are other types of cells is well which are known as the neuroglia, or glial, cells.

Basically, the nervous tissues consist of two cells one is called nerve cells while the other is called glial cells which help to transmit nerve impulses and also provide nutrients to neurons.

So we can conclude that the nervous tissue is made up of two types of cells, neurons, and glial cells.

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An air jet is flying with a constant speed at an angle of 30° above the horizontal as indicated in the figure below. The weight ⃗ of jet has magnitude W = 86 500 N and its engine provide a forward thrust ⃗ of magnitude T = 103 000 N. In addition, the lift force ⃗ (directed perpendicular to the wings) and the force ⃗ of air resistance (directed opposite to the motion) act on the jet. Determine the magnitude of ⃗ and ⃗ . (5)

Answers

To determine the magnitude of the lift force ⃗ and the force of air resistance ⃗ acting on the jet, we need to resolve the weight ⃗ and the forward thrust ⃗ into their horizontal and vertical components.

The weight ⃗ can be resolved into two components:

- the vertical component, Wsin(30°), acting downward

- the horizontal component, Wcos(30°), acting to the left

The forward thrust ⃗ can also be resolved into two components:

- the vertical component, Tsin(30°), acting upward

- the horizontal component, Tcos(30°), acting to the right

Since the jet is flying at a constant speed, the lift force ⃗ must be equal in magnitude to the weight component acting downward, Wsin(30°). Therefore, the magnitude of ⃗ is 86,500 Nsin(30°) = 43,250 N.

The force of air resistance ⃗ is equal in magnitude to the horizontal component of the weight, Wcos(30°), minus the horizontal component of the forward thrust, Tcos(30°). Therefore, the magnitude of ⃗ is (86,500 Ncos(30°)) - (103,000 Ncos(30°)) = -8,715 N, where the negative sign indicates that the force of air resistance is acting in the opposite direction to the motion of the jet.

Therefore, the magnitude of the lift force ⃗ is 43,250 N and the magnitude of the force of air resistance ⃗ is 8,715 N.

The "Screaming Swing" is a carnival ride that is - not surprisingly - a giant swing. It's actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 34 m/s with respect to the ground in a 46- m -diameter circle. The rider in the other swing is moving in a similar circle at the same speed, but in the exact opposite direction. What is the acceleration, in m/s2 , that riders experience?

Answers

The acceleration, in m/s² , that riders experience is 50.3 m/s²

What is the acceleration, in m/s² , that riders experience?

Since the riders move in a circle, they undergo circular motion and will have a centripetal acceleration.

So, the centripetal acceleration, is given by a = v²/r where

v = speed of rider andr = radius of circle

Given that a rider in one swing is moving at 34 m/s with respect to the ground in a 46- m -diameter circle. We have that

v = speed of rider = 34 m/s and r = radius of circle = 46/2 = 23 m

So, substituting the values of the variables into the equation for the acceleration, we have

a = v²/r

a = (34 m/s)²/23 m

a = 1156 m²/s²/23 m

a = 50.26 m/s²

a ≅ 50.3 m/s²

So, the acceleration, in m/s² , that riders experience is 50.3 m/s²

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Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?

Answers

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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the greatest amount o. lolololoms?

the greatest amount o. lolololoms?

Answers

Answer:

If you are asking for the answer with the highest molar mass, then the answer is B.

B. Fe₂O₃

Air at 273K and 1.01x10³Nm2 pressure contains 2.70x1025 molecules per cubic meter. How many molecules per cubic meter will there be at a place where the temperature is 223K and pressure is 1.33x10 Nm-2​

Answers

The molecules of O2 that are  present in 3.90 L flask at  a temperature of 273 K and a pressure of 1.00 atm is 1.047 x 10^23 molecules  of O2

Step  1:  used the ideal gas equation to calculate the moles of O2

that is Pv=n RT  where;

P(pressure)= 1.00 atm

V(volume) =3.90 L

n(number of moles)=?

R(gas constant) = 0.0821 L.atm/mol.K

T(temperature) = 273 k

by  making n the subject of the formula by  dividing  both side by RT

n= Pv/RT

n=[( 1.00 atm x 3.90 L)  /(0.0821 L.atm/mol.k  x273)]=0.174  moles

Step 2: use the Avogadro's  law constant  to calculate  the number of molecules

that  is  according to Avogadro's law

                          1  mole =  6.02 x10^23  molecules

                            0.174 moles=? molecules

by  cross  multiplication

the number of  molecules

= (0.174  moles x  6.02 x10^23  molecules)/ 1 mole  =1.047 x 10^23 molecules of O2

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What is the momentum of a 0.15 kg ball moving at 4 m/s?

Answers

Answer:

mass of ball:0.5

acceration:4m/

force:?

we know that,

f:ma

:0.5×4

:2 newton

arrange the values according to magnitude

1.8 X 10^5
4.3 X 10^-2
8.4 X 10^-6
9.0 X 10^-6
59000

Answers

Answer:

\(59000\)

\(1.8\times 10^5\)

\(4.3\times 10^{-2}\)

\(9.0\times 10^{-6}\)

\(8.4\times 10^{-6}\)

Explanation:

The given numbers are

\(1.8\times 10^5=18000\)

\(4.3\times 10^{-2}=0.043\)

\(8.4\times 10^{-6}=0.0000084 \)

\(9.0\times 10^{-6}=0.000009\)

\(59000\)

The arrangement of the numbers from largest to smallest is

\(59000\)

\(1.8\times 10^5\)

\(4.3\times 10^{-2}\)

\(9.0\times 10^{-6}\)

\(8.4\times 10^{-6}\).

A cargo spacecraft was orbiting the earth. It is equipped with rocket and has an initial mass of 30 metric ton. It wants to catch up with the international space station to deliver the cargo. So its rocket engine was fired for 1 minute. The engine ejects mass at a rate of 30 kg/s with an exhaust velocity of 3.1 km/s. The pressure at the nozzle exit is 5 kPa and the diameter of exit area is 94.4 cm. What is the thrust of the engine in a vacuum

Answers

Answer:

Explanation:

A cargo spacecraft was orbiting the earth. It is equipped with rocket and has an initial mass of 30 metric ton. It wants to catch up with the international space station to deliver the cargo. So its rocket engine was fired for 1 minute. The engine ejects mass at a rate of 30 kg/s with an exhaust velocity of 3.1 km/s. The pressure at the nozzle exit is 5 kPa and the diameter of exit area is 94.4 cm. What is the thrust of the eng

imagine that the blue light and orange light from the source were blocked. what color would how be present in the spectrum of light observed

Answers

Everything but blue & orange would now be present in the spectrum of light observed.

Spectrum refers to a range of different wavelengths of electromagnetic radiation. Electromagnetic radiation is a form of energy that travels through space and includes different types such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different wavelength and frequency, and together they make up the electromagnetic spectrum.

The concept of spectrum is used in a variety of fields, including physics, astronomy, and telecommunications. The spectrum of electromagnetic radiation is essential for many technologies, such as radios and televisions, cell phones, and medical imaging devices, as they all rely on the transmission and reception of specific wavelengths of electromagnetic radiation.

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Complete Question: -

Imagine that the blue light and orange light from the source were blocked. What color(s) would now be present in the spectrum of light observed?

What is the difference between a dynamically hot population and a dynamtically cold popluation in astronomy?​

Answers

In astronomy, a dynamically hot population refers to a group of stars or other celestial objects that have high velocities and a wide range of orbits.

They are characterized by high kinetic energy and low potential energy, and are typically found in the halo of a galaxy or in the outskirts of galaxy clusters.

On the other hand, a dynamically cold population refers to a group of stars or celestial objects that have low velocities and a narrow range of orbits. They are characterized by low kinetic energy and high potential energy, and are typically found in the disk of a galaxy or in the central regions of galaxy clusters.

In summary, a dynamically hot population is one that is characterized by high velocities, wide range of orbits, high kinetic energy and low potential energy, while a dynamically cold population is one that is characterized by low velocities, narrow range of orbits, low kinetic energy and high potential energy.

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The aurora borealis is caused by the ____.

A. mesosphere
B. stratosphere
c. thermosphere
D. troposphere

Answers

Thermosphere I believe but I could be wrong

Answer: ionosphere

Explanation: aurora boreal is is caused by the ionosphere which is a part of the thermosphere

3. An object is positioned a distance of 5.1 m from a plane mirror. Determine the...
a. ... distance the image is located from the plane mirror.
b. ... distance the image is located from the object.

Answers

The image distance from the plane mirror is 5.1 m.

The object distance from the plane mirror, u = 5.1 m

a) We know that the magnification of a plane mirror is always unity. That means the magnification is always one.

The expression for magnification of a plane mirror is given by,

m = - u/v

Therefore, the image distance from the plane mirror,

v = u

v = 5.1 m

That means the image distance and object distance are the same in a plane mirror.

b) The object is positioned at 5.1 m distance in front of the plane mirror. so, the image will be formed at 5.1 m distance behind the plane mirror.

Therefore,

The distance between the image and the object = 5.1 + 5.1 = 10.2 m

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Describe nuclear fission and how the chain reaction in a nuclear reactor is controlled.

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Answer:

Nuclear fission is a reaction in which the nucleus of an atom splits into two or more smaller nuclei. The moderator helps slow down the neutrons produced by fission to sustain a chain of reaction. The chains are controlled by Boron control rods when Boron absorbs the neutrons then the chain reaction will slow down due to the lack of neutrons producing reactions due to the absorbent of Boron. Their reaction initiates its own repetition.

Nuclear fission is the splitting of nucleus into two smaller nuclei and high amount of energy.

Nuclear fission is a reaction in which the nucleus of an atom splits into two or more smaller nuclei as well as very high amount of energy. The nuclear fission process produces gamma photons, and releases a very large amount of energy.

Most reactors are controlled with the help of control rods that are made of a strongly neutron-absorbent material such as boron or cadmium so we can conclude that nuclear fission is the splitting of nucleus into two smaller nuclei and high amount of energy.

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A cannonball (20kg) is fired at an angle --its initial speed upon leaving is 100m/s and the ball reaches a height of 180 meters. Assume no friction and g=10m/s2. What is the initial kinetic energy when the ball leaves the cannon?

Answers

Explanation:

Kinetic energy  = 1/2 m v^2

      = 1/2 ( 20 kg) * (100 m/s)^2 = 100 000 J

what type of material is good at transferring heat?
A. A thermal insulator, such as air
B. A thermal conductor, such as water
C. A thermal insulator, such as water
D, A thermal conductor, such as air

Answers

The answer is A

Materials that are good conductors of thermal energy are called thermal conductors. Metals are very good thermal conductors. Materials that are poor conductors of thermal energy are called thermal insulators. Gases such as air and materials such as plastic and wood are thermal insulators

A thermal conductor, such as water is the type of material that is good at transferring heat. Option B is correct.

What is a heat conductor?

Heat conductors are substances that effectively conduct thermal energy.

The kind of substance that is effective in transferring heat is a thermal conductor, such as water.

Metals have excellent heat conductivity. Heat insulators are substances that poorly conduct thermal energy. Thermal insulators include gases like air and materials like plastic and wood.

Water conducts heat 24.17 times more quickly than air. The kind of substance that is effective in transferring heat is a thermal conductor, such as water.

Hence, option B is correct.

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4. Who was the proponent of the Neo-classicism? a) Claude Debussy b) Joseph Maurice Ravel c) Igor Stravinsky d) Arnold Schoenberg​

Answers

Who was the proponent of the Neo-classicism?

a) Claude Debussy

b) Joseph Maurice Ravel

c) Igor Stravinsky

d) Arnold Schoenberg

what is the planet that scientists are exploring now?​

Answers

Answer:

Mars

Explanation:

In the 1960s, humans set out to discover what the red planet has to teach us. Now, NASA is hoping to land the first humans on Mars by the 2030s. Mars has captivated humans since we first set eyes on it as a star-like object in the night sky.

good luck

please mark me as a brainliest

EXPLAIN HOW MAGNETIC MATERIALS ARE SEPARATED FROM COAL

Answers

A procedure known as magnetic separation can be used to extract magnetic elements from coal.

This method makes use of the magnetic characteristics of some materials to distinguish them from non-magnetic materials like coal. A description of how magnetic separation can be used to remove magnetic components from coal is given below:

Putting a magnetic field around the coal and magnetic material mixture is the first step in the magnetization process. This can be achieved by creating an electromagnetic field or by putting the mixture close to a powerful magnet.

Magnetism: Magnetic materials, such as iron atoms or magnetite that are frequently found in coal, will be drawn to the magnetic field and become magnetized. They line up their magnetic moments with the magnetic field's direction.

Separation: The magnetic coal components can be physically separated from the non-magnetic coal once they have been magnetized. To create this separation, there are numerous techniques:

Magnetic Drum Separator: Using this technique, the mixture is run through a spinning, magnetized drum. The non-magnetic coal can now go along the conveyor belt without being interfered with by the magnetic materials, which adhere to the surface of the drum and are removed from the coal. Magnetic Pulley Separator: This method involves mounting a magnetic pulley at the discharge end of a conveyor belt that is transporting the mixture. The magnetic pulley draws in and gathers the magnetic elements as the belt moves, sending them to a different location for collecting.Magnetic fluid separation includes floating the mixture in a liquid medium and using a magnetic field to draw and separate the magnetic particles. By using filtration or decantation, the magnetic materials can be separated from one another.

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Explain the advantages in having the meter officially
defined in terms of the distance light travels in a
given time rather than as the length of a specific metal bar

Answers

Answer:

Thermal expansion causes the bar to expand in length (also, thermal contraction causes the bar to shrink). Having the meter measured in this way allows for consistency and can be easily converted.

Explanation:

PLEASEEE HELPPPPP does anyone know these answers?

PLEASEEE HELPPPPP does anyone know these answers?

Answers

Answer:

oof ok

Explanation:

Thank you :)

03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.​

Answers

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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A fish tank is 20 inches by 12 inches by 12 inches. What is its volume in m * m ^ 3

Answers

As the fish tank is 20 inches by 12 inches by 12 inches, its volume is 47194744.32 mm³.

What is volume?

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

1 inch = 0.0254 meters.

20 inches = 20 × 0.0254 meters = 0.508 meters = 508 mm.

12 inches = 12 × 0.0254 meters = 0.3048 meters = 304.8 mm.

Hence, The volume of the fish tank  = length × width × height

=  508 mm ×  304.8 mm ×  304.8 mm.

= 47194744.32 mm³

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how to how to how to how

Answers

Answer:

Not sure what how to how to how to how means but if you tell me what you need id be happy to help

how to trust someone well first find out if they are nice

how to find negative and positive rate?​

Answers

How to find negative and positive rate?

5. Why do bubbles show rainbow colors under the sun?

Answers

The bubbles show rainbow colors under the sun because the sun light refracts into the bubble, being separated in the rainbow colors.

When the white light enters the bubble, it is decomposed, and each different color will have a slightly different direction:

5. Why do bubbles show rainbow colors under the sun?

Why is physics used to study the heat absorbed by the ocean?
A. The ocean is important.
B. Heat is a form of energy.
C. The Sun gives off heat.
D. Physicists mostly study the ocean.

Answers

Answer:

B

Explanation:

It absorbs gases, but also heat energy from the atmosphere, distributes them in its depths and thus slows down changes in the entire Earth system. The amount of energy absorbed by the ocean is therefore also an indication of the total heat absorbed by the planet.

Answer:B

Explanation:

The decibel rules of thumb can be combined. (a) If a sound has intensity xdB, how many dB does a sound 100 times more intense have? (b) If another sound has intensity ydB, how many dB does a sound 4 times less intense have? (c) Combine what you know about (a) and (b): If a sound has intensity zdB, how many dB does a sound 25 times more intense have?

Answers

C i think hope this help
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