Two charged particles are a distance of 1.92 m from each other. One of the particles has a charge of 8.15 nC, and the other has a charge of 4.54 nC.

Answers

Answer 1

The electric force between the two charged particles is approximately 1.46 × \(10^-2\) N.

The electric force between the two charged particles, we can use Coulomb's law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
First, let's convert the charges from nanocoulombs (nC) to coulombs (C). 1 nC is equal to 1 × \(10^-9\) C.
The charge of the first particle is 8.15 nC, which is equal to 8.15 × \(10^-9\) C.
The charge of the second particle is 4.54 nC, which is equal to 4.54 × \(10^-9\) C.
Now, we can calculate the electric force (F) between the particles using the equation:
F = (k * q1 * q2) / \(r^2\)
Where:
F is the electric force,
k is Coulomb's constant (8.99 × 10^9 N\(m^2\)/\(C^2\)),
q1 is the charge of the first particle,
q2 is the charge of the second particle, and
r is the distance between the particles.
Plugging in the values, we have:
F = (8.99 × \(10^-9\) Nm^2/C^2) * (8.15 × \(10^-9\) C) * (4.54 × \(10^-9\) C) / \((1.92m)^2\)
Calculating this expression, we get:
F ≈ 1.46 ×\(10^-2\) N
Therefore, the electric force between the two charged particles is approximately 1.46 × \(10^-2\) N.

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Related Questions

Can someone help me on number 4

Can someone help me on number 4

Answers

It’s aaaaaaaaaaaaaaAaaaaaaa

If a lion drags his prey 10 meters to his den doing 500 joules of work, how much
force did he use?

Answers

Answer:

I think it's 5000N

Explanation:

You use the formula F=a.m, so m=10 meters, a=500 joules. F=10x500=5000N

Hi! Can somebody please help?

Hi! Can somebody please help?

Answers

Answer:

Diagram A will reach the top first.

Explanation:

If it is going straight, it will go slower. The higher the movement speed the faster it is. Hope this helps!

Which functional group contributes negative charge.

Answers

Any functional group that contributes negative charge must have a lone pair of electrons.

What is a functional group?

The term functional group refers to an atom, group of atoms or a bond that is responsible for the chemical reactivity of the homologous series. A homologous series is any family of compounds.

The question is incomplete. However, any functional group that contributes negative charge must have a lone pair of electrons like amines.

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A 68-kg skydiver has a speed of 52 m/s at an altitude of 670 m above the

ground. Determine the kinetic energy possessed by the skydiver, KE =

1/2mv^2*

Answers

Answer:

91936J

Explanation:

We know that kinetic energy= 1/2 mv^2

M= mass = 68 Kg

v= velocity= 52 m/s

KE=1/2 × 68 × (52)^2

KE= 1/2 × 68 × 2704

KE= 91936J

A. All objects in the room (that aren't emitting heat) are the same temperature-ro temperature. So, why do some feel warmer than others?

Answers

Answer:  The reason why some objects feel warmer than others even if they are at the same temperature has to do with their thermal conductivity. Thermal conductivity is a measure of how well a material can transfer heat. Materials with high thermal conductivity transfer heat easily, while materials with low thermal conductivity do not transfer heat as easily.

When you touch an object, your skin can’t actually detect the temperature of the object itself. Instead, it senses its own temperature. If you touch an object that is a good thermal conductor, it will transfer heat to or from your skin quickly, making your skin feel warmer or colder. On the other hand, if you touch an object that is not a good thermal conductor, it will transfer heat to or from your skin more slowly, so your skin won’t feel as warm or cold.

So, even if two objects are at the same temperature, one may feel warmer than the other because it is transferring heat to your skin more quickly due to its higher thermal conductivity.

How many windows should the real tree house have

How many windows should the real tree house have

Answers

Answer:

88

Explanation:

Answer:

2

Explanation:

88 was wrong and the answer then said 2

What is the difference between distance and displacement

Answers

Answer:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Explanation:

Answer:

Distance is like school is 5 minutes from my house or the store is 2 miles for somewhere. Displacement is when you miss place or loss something, such as you lay your phone down and cant find it.  

Explanation:

hope this helps, have a great day!

plz help i will mark brainlyist.
describe how gravitational force is related to mass and distance
compare the magnitude and range of the four basic forces—gravitational, electromagnetic, weak nuclear and strong nuclear

Answers

Answer:

please mark me brainliest

Explanation:

Gravitational force -an attractive force that exists between all objects with mass; an object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

The Four Fundamental Forces of Nature are Gravitational force, Weak Nuclear force, Electromagnetic force and Strong Nuclear force. The weak and strong forces are effective only over a very short range and dominate only at the level of subatomic particles. Gravity and Electromagnetic force have infinite range.

A negative charge of -6.0 x 10-5 exerts an attractive force of 65 N on a second charge 0.50 m away. What is the magnitude of the second charge? Is the second charge negative or positive?

Answers

The magnitude of the second charge is 3.01 x 10⁻⁵C.

The second charge is positive.

What is the magnitude of the second charges?

The magnitude of the second charge is determined by applying Coulomb's law of electrostatic force as shown below.

F = kq₁q₂/r²

where;

r is the distance between the chargesk is coulomb's constantF is the force between the charges

Substitute the given parameters, and solve for the magnitude of the second charge as shown below.

q₂ = Fr²/kq₁

q₂ = (65 x 0.5²) / (9 x 10⁹ x 6 x 10⁻⁵)

q₂ = 3.01 x 10⁻⁵C

Thus, the magnitude of the second charge is 3.01 x 10⁻⁵C. Also, since the force is attractive, the second charge must be positive.

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a 2 × 10 5 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.8 m by a large spring bumper at the end of its track. what is the spring constant k of the sprin

Answers

2 × 10 5 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.8 m by a large spring bumper at the end of its track. The spring constant of the spring bumper is 2.5 × 10^5 N/m.

The potential energy stored in the spring when compressed is given by the equation

U = 1/2 kx^2,

where k is the spring constant and x is the compression distance.

When the subway train is brought to a stop, the kinetic energy of the train is transformed into potential energy stored in the spring.

Therefore, the potential energy stored in the spring is equal to the initial kinetic energy of the train.

The initial kinetic energy of the train is given by the equation

K = 1/2 mv^2,

where m is the mass of the train and v is the initial velocity.

Substituting the given values, we get K = 250 J.

When the spring is compressed by 0.8 m, it stores this potential energy. Thus, we can write 250 J = 1/2 k (0.8 m)^2.

Solving for k, we get k = 2.5 × 10^5 N/m.

Therefore, the spring constant of the spring bumper is 2.5 × 10^5 N/m.

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Match each vocabulary word with appropriate definition. chemical property chemical change reactivity combustibility

Answers

Answer:

1.) Chemical Change - a change in matter that results in a change in its identity and properties

2.) Combustibility - the ability of a substance to burn

3.) Reactivity - The ability of a substance to combine Chemically with another

4.) Chemical Property - the ability of matter to change into a different substance

Explanation:

Proof: -Image Below & the definitions for each word-

Chemical Change- Chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances. ... An example of a chemical change is the reaction between sodium and water to produce sodium hydroxide and hydrogen.

Combustibility- Combustibility is a measure of how easily a substance bursts into flame, through fire or combustion. This is an important property to consider when a substance is used for construction or is being stored. It is also important in processes that produce combustible substances as a by-product.

Reactivity- In chemistry, reactivity is the impetus for which a chemical substance undergoes a chemical reaction, either by itself or with other materials, with an overall release of energy.

Chemical Property- A chemical property is any of a material's properties that becomes evident during, or after, a chemical reaction; that is, any quality that can be established only by changing a substance's chemical identity. ... They can also be useful to identify an unknown substance or to separate or purify it from other substances.

Have a nice day!

Match each vocabulary word with appropriate definition. chemical property chemical change reactivity

Chemical change - A change in a substance that brings a change in its identity and properties

Combustibility - The ability of a substance to bursts into the combustion

Reactivity - The ability of a matter to chemically combine with others.

Chemical Property - The ability of a substance to change into a completely different substance.

What are chemical properties, chemical change, reactivity, and combustibility?

Chemical changes take place when a substance combines with another substance to create a new substance, called chemical synthesis. An example of a chemical change is the formation of sodium hydroxide and hydrogen by the reaction between sodium and water.

Combustibility determines how easily a substance can burst into flame, through combustion. The combustibility is a property to consider when a substance is used for storage or for construction. It is also an important property in processes where the formation of combustible substances is a side product.

In chemistry, reactivity is the property of a chemical substance that undergoes a chemical reaction with itself or with other chemicals,  and the overall release of energy.

Chemical properties are the characteristics of a particular substance that can be noticed during a chemical reaction. Some major chemical properties include heat of combustion, flammability, rate of radioactive decay, toxicity, pH value, and chemical stability.

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Help!! I will mark brainliest!! Worth 50 pts!

If 50.0 calories of heat energy are added to 120 grams of copper currently at room temperature (20°C), what will the change in temperature be?

24.6°C
30 °C
4.6°C
20°C

Answers

The change in temperature of the copper is 4.6 ⁰C.

What is heat capacity?

The heat capacity of an object is the total quantity of heat needed to raise the entire mass of a substance by 1 kelvin.

Mathematically, heat capacity is given as;

Q = mcΔθ

where;

Q is the quantity of heat in the material = 50 calories c is the specific heat capacity of copper = 0.09 cal/gcΔθis change in temperature

Δθ = Q/mc

Δθ = (50) / (120 x 0.09)

Δθ = 4.6 ⁰C

Thus, the change in temperature of the copper at the room temperature is determined from the heat capacity of copper.

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do the same for an electron occupying a 3d orbital.

Answers

Behavior of electron occupying a 3d orbital is complex and is influenced by many factors, including energy level, shape of the orbital, and interactions with other electrons and the nucleus.

The behavior of an electron occupying a 3d orbital is related to its energy level and the shape of the orbital. In general, a 3d orbital has more complex shape than a 2p or 3s orbital, which can lead to different electron behavior.

In an atom, the electron occupying a 3d orbital experiences a potential energy due to the attraction between the negatively charged electron and the positively charged nucleus. The potential energy is related to the distance between the electron and the nucleus, as well as the electron's charge and the nuclear charge.

The electron's energy level in a 3d orbital is related to the number of electrons and their arrangement in the atom. For example, in a transition metal atom, the electrons in the 3d orbital may have a higher energy level due to the presence of additional electrons in the outer energy levels.

The behavior of the electron in a 3d orbital can also be affected by the presence of other electrons in nearby orbitals. For example, if there are other electrons occupying the 4s orbital, they may shield the 3d electron from some of the nuclear charge, which could affect its energy level.

Overall, the behavior of an electron occupying a 3d orbital is complex and is influenced by many factors, including energy level, shape of the orbital, and interactions with other electrons and the nucleus.

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Complete Question:

The behavior of electron is observed and extrapolated. Do the same for an electron occupying a 3d orbital.

A book publisher chooses to organize based on their consumers. They have departments for the high school market, the vocational market, and the college market. What type of organization is this an example of

Answers

A book publisher chooses to organize based on their consumers. They have departments for the high school market, the vocational market, and the college market. This is an example of  Market-based organization.

This is an example of a market-based organization. In a market-based organization, the company's structure and departments are organized around specific market segments or customer groups. In this case, the book publisher has separate departments dedicated to serving different consumer markets: the high school market, the vocational market, and the college market. Each department focuses on meeting the unique needs and demands of their respective target market. This organizational approach allows the company to tailor its products, marketing strategies, and sales efforts to effectively serve each market segment. By organizing based on consumers, the book publisher can develop specialized expertise and a customer-centric approach, maximizing its ability to meet the specific requirements and preferences of different customer groups within the publishing industry.

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what is the angular displacement of a minute hand of a clock after 3 minutes?​

Answers

Answer:

π/10 rads

Explanation:

It takes an hour (60 minutes) for the minute's hand to turn a full circle or achieve an angular rotation of

2πl rad.

Now, number of periods of 3 minutes in an hour is;

Number of periods = 60/3 = 20 periods

Thus, 3 minutes rotation accounts for 1/20 of 2π the rotation of the minute's hand in an hour.

Thus;

Angular displacement = (1/20) * 2π = π/10 rads

the total energy of a system is 300j. if the potential energy is 40j what is the kinetic energy if the object started 300m above the ground?

Answers

Answer:

43.3 m/s.

Explanation:

Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:

Total energy = Potential energy + Kinetic energy

Kinetic energy = Total energy - Potential energy

Kinetic energy = 300 J - 40 J = 260 J

However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:

Potential energy = mgh

40 J = m(9.81 m/s^2)(300 m)

m = 0.137 kg

Now we can use the kinetic energy to find the velocity:

Kinetic energy = (1/2)mv^2

260 J = (1/2)(0.137 kg)v^2

v^2 = (2*260 J) / 0.137 kg

v = 43.3 m/s (rounded to one decimal place)

Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.

The specific heat capacity of water is 4,200 J/kg °C.

Calculate the thermal energy that must be
absorbed by 1.4 kg of water to increase its
temperature by 25 °C.

help TvT​

Answers

It’s a simple formula
Q = m*c*Δt
M being mass
C being specific heat
Δt being change in temperature

Q = (1.4kg)(4,200J/kg*C)(25C)
Kilograms and Celsius cancels and you get 147,000 Jules aka 1.47 x 10^5 J

Consider the interference pattern produced by two parallel slits of width a and separation d, in which d=3a. The slits are illuminated by normally incident light of wavelength λ. first we ignore diffraction effects due to the slit width. at what angles θ from the central maximum will the next four maxima in the two-slit interference pattern occur?your answer will be in terms of d and λ.

Answers

The angles from the central maximum where the next four maxima in the two-slit interference pattern occur, in terms of d and λ are \(arcsin((1λ) / d), arcsin((2λ) / d), arcsin((3λ) / d), and, arcsin((4λ) / d)\)

To find the angles θ for the next four maxima in the two-slit interference pattern, we can use the equation for constructive interference, which is:

\(mλ = d * sin(θ)\)

Here, m is the order of the maximum, λ is the wavelength of the light, d is the slit separation, and θ is the angle from the central maximum.

Since d = 3a, we can use this equation to find the angles for the next four maxima (m = 1, 2, 3, 4).

\(1. For m = 1:θ₁ = arcsin((1λ) / d)2. For m = 2:θ₂ =  arcsin((2λ) / d)3. For m = 3:θ₃ = arcsin((3λ) / d)4. For m = 4:θ₄ = arcsin((4λ) / d)\)

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I have two questions

What is the current of a 24 ohm heating coil in a coffee maker plugged into a 120v outlet.

What voltage will produce 6 amps through a circuit that has 10 ohms of resistance.

plz help

Answers

Current = voltage / resistance = 120 / 24 = 5 Amperes

Voltage = current x resistance = 6 x 10 = 60 Volts

a) The electric current flowing through it is 5 amp.

b) The voltage will produce by an amount of 60 volt.

What is electric current?

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

a) When  a 24 ohm heating coil in a coffee maker plugged into a 120v outlet, electric current flowing trough it = 120 v/24 ohm = 5 amp.

b) When  e 6 amps through a circuit that has 10 ohms of resistance, voltage produced in it = 6 amp × 10 ohm = 60 volt.

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any regularly repeated small feature can serve as a diffraction grating and separate light by color. which color gets deflected the most, and which the least?

Answers

The color that gets deflected the most by a diffraction grating is blue, while the color that gets deflected the least is red.

When light passes through a diffraction grating, it undergoes interference and diffraction, resulting in the separation of colors. The amount of deflection or bending of light depends on the wavelength of the light. Shorter wavelengths (blues and violets) are deflected more than longer wavelengths (reds and oranges).

The reason for this lies in the fundamental principles of diffraction. Diffraction occurs when light encounters an obstacle or a periodic structure with features comparable to the wavelength of light. In a diffraction grating, these features are the regularly repeated small slits or grooves. When light passes through these slits, it diffracts into multiple beams, each corresponding to a different wavelength.

According to the equation for diffraction by a grating, the angle at which the different colors are diffracted depends on the wavelength of the light and the spacing between the slits. The equation, known as the grating equation, is given by:

nλ = d * sin(θ),

where n represents the order of diffraction, λ is the wavelength of light, d is the spacing between the slits, and θ is the angle of diffraction.

Since the equation involves the sine of the angle of diffraction, smaller wavelengths (such as blue and violet) will have larger angles of diffraction compared to longer wavelengths (such as red and orange). This means that blue and violet light will be deflected more than red and orange light.

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4. Calculate the velocity of the toy car from 0-3 seconds.

5. Calculate the velocity of the toy car from 5-8 seconds.

6. Calculate the velocity of the toy car from 8-10 seconds.

4. Calculate the velocity of the toy car from 0-3 seconds.5. Calculate the velocity of the toy car from

Answers

Velocity refers to the change in the position of the object with time.

What is the velocity?

The term velocity refers to the change in the position of the object with time. In this case, we have the position time graph that we could use to obtain the velocity of the body at any interval. The velocity is the slope of the position time graph.

4) velocity of the toy car from 0-3 seconds;

v = Δx/Δ t = 3 - 0/ 1.5 - 0 = 2 m/s

5) velocity of the toy car from 5-8 seconds

v = Δx/Δ t = 6 - 3/8 - 5 = 3/3 = 1 m/s

6)

v = Δx/Δ t = 0 m/s

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An engineering team has come to the stage in the engineering design process in which it is iterating to improve the solution. hat is one thing the team might be doing ?

Answers

When an engineering team reaches the stage of iterating to improve the solution in the engineering design process, there are various activities that the team might be doing. One of the most crucial activities at this stage of the design process is testing. Here are a few things that an engineering team might do to test and improve the solution:

Prototyping: This involves building a physical or digital prototype that can be tested and refined based on feedback from stakeholders. The team can then use this prototype to identify any design flaws and make the necessary changes.Simulation: Simulation involves creating a virtual model of the solution and testing it under various conditions. The team can use simulation to identify potential problems with the solution before it is built.User testing: User testing involves testing the solution with real users to get feedback on how well it works and how it can be improved. The team can use this feedback to make changes to the design and improve the user experience.Feedback analysis: This involves analyzing feedback from stakeholders, including users, customers, and other members of the team. The team can use this feedback to identify areas for improvement and make changes to the design.The key to iterating to improve the solution is to be open to feedback and willing to make changes. By continuously testing and refining the design, the engineering team can create a solution that meets the needs of stakeholders and achieves the desired outcomes.

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8. An electrical resistor immersed in a liquid produces 65.0 W of electrical energy for 120
specific heat capacity of the liquid in this temperature range. Assume that negligible h
O
O
O
2.51 x 10³ J/(kg. C°)
1.67 x 106 J/(kg C°)
2.02 x 104 J/(kg. C°)

Answers

The specific heat capacity of the liquid is 2.51 x 10³ J/kg⁰C.

Specific heat capacity of the liquid

The specific heat capacity of the liquid is calculated as follows;

Q = mcΔФ

where;

Q is quantity of heat c is specific heat capacitym is mass of the liquidΔФ is change in temperature = 22.54 - 18.55 = 3.99 ⁰C

c = Q/mΔФ

c = (65 x 120)/(0.78 x 3.99)

c = 2.51 x 10³ J/kg⁰C

The complete question is below:

An electrical resistor immersed in a liquid produces 65.0 W of electrical energy for 120 s. The mass of the liquid is 0.780 kg and its temperature increases from 18.55°C to 22.54°C. a) Find the average specific heat capacity of the liquid in this temperature range.

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you place a box weigthing 362 N on a inclunded plane that makes a 37.8 angel with a hirizontal. compute the componest of gravitational force acting down the inclined plane.

Answers

Answer:

W = 221.872 N

Explanation:

The weight of a box, F = 362 N

It makes an angle of 37.8 degrees with the horizontal.

We need to find the gravitational force acting down the inclined plane. The component of weight that is acting down the inclined plane is mgsinθ.

W = mgsinθ

= 362× sin(37.8)

= 221.87 N

So, the required component of gravitational force is 221.87 N.

Given that a=4m at 37 degree west of north,b=3m at 53 degree south of west and c=2m,east find the magnitude and direction of a)a+b+c b)a-b

Answers

a) The magnitude of the vector sum of a+b+c is approximately 4.47 meters, with a direction of 43.9 degrees east of north.

b) The magnitude of the vector difference of a-b is approximately 5.83 meters, with a direction of 49.6 degrees north of west.

a) To find the vector sum of a+b+c, we first add the x-components and the y-components separately. The x-component is calculated as (4 cos 37°) + (-3 cos 53°) + (2 cos 180°) = 2.67 meters, and the y-component is calculated as (4 sin 37°) + (-3 sin 53°) + (2 sin 90°) = 2.8 meters. Then, using the Pythagorean theorem, we find the magnitude of the vector sum: sqrt(\((2.67)^2\) + \((2.8)^2\)) ≈ 4.47 meters. The direction can be determined using the inverse tangent function: \(tan^(-1)(2.8/2.67)\) ≈ 43.9 degrees. Thus, the vector sum of a+b+c has a magnitude of approximately 4.47 meters and a direction of 43.9 degrees east of north.

b) To find the vector difference of a-b, we subtract the x-components and the y-components separately. The x-component is calculated as (4 cos 37°) - (-3 cos 53°) + (2 cos 180°) = 7.41 meters, and the y-component is calculated as (4 sin 37°) - (-3 sin 53°) + (2 sin 90°) = -0.83 meters. Then, using the Pythagorean theorem, we find the magnitude of the vector difference: sqrt(\((7.41)^2\)+ \((-0.83)^2\)) ≈ 5.83 meters. The direction can be determined using the inverse tangent function:\(tan^(-1)(-0.83/7.41)\) ≈ -49.6 degrees. Note that the negative sign indicates a direction opposite to the positive x-axis, so the vector difference of a-b has a magnitude of approximately 5.83 meters and a direction of 49.6 degrees north of west.

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light of wavelength 3.19 mm strikes and is absorbed by a molecule. is this process most likely to alter the rotational, vibrational, or atomic energy levels of the molecule?

Answers

light of wavelength 3.19 mm strikes and is absorbed by a molecule this will alter the atomic energy of the molecule.

Rotational strength: kinetic strength related to the rotational movement of molecules. Vibrational strength: the oscillatory movement of atoms or agencies of atoms inside a molecule (capacity strength ↔ kinetic strength exchange).

Electronic strength: strength saved as capacity strength in excited digital configurations .A molecular vibration is worked up whilst the molecule absorbs strength, ΔE, similar to the vibration's frequency, ν, in line with the relation ΔE = hν, wherein h is Planck's constant. A essential vibration is evoked whilst one such quantum of strength is absorbed through the molecule in its floor state.

The first strength degree is likewise referred to as degree 'K'. The 2d degree is referred to as degree L, 1/3 strength degree as M, and so on. Electrons withinside the outermost strength degree also are referred to as Valence electrons. Various residences of atoms are primarily based totally on those valence electrons.

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What percent of offspring will be brown eyed?

25%
50%
75%
100%
Please I need help

What percent of offspring will be brown eyed?25%50%75%100%Please I need help

Answers

100% because B is the dominant trait.
Answer: Choice D) 100%

================================================

Explanation:

Uppercase B is the brown eyed gene. It's dominant over the recessive gene lowercase b, which is for blue eyes. Convention has the uppercase letter always dominate over the lowercase recessive gene.

Note the genotypes of the offspring are all Bb. This tells us we have nothing but brown eye offspring. The visual indicator also shows four brown eyes, which backs up each Bb genotype. The phenotype is the observed brown eyes that others can see, while the genotype deals with the gene pairings.

Since four offspring out of four total have brown eyes, this means the percent of brown-eyed offspring is 4/4 = 1.00 = 100%

What is the speed of the elevator after it has moved downward 1.00 from the point where it first contacts a spring?
When the elevator is 1.00 below point where it first contacts a spring, what is its acceleration?

Answers

The speed of the elevator after it has moved downward 1.00 from the point where it first contacts a spring is 2.23 m/s.

The acceleration of the elevator when it is 1.00 below the point where it first contacts a spring is -9.8 m/s².

The speed of the elevator after it has moved downward 1.00 from the point where it first contacts a spring is 2.23 m/s. When the elevator is 1.00 below the point where it first contacts a spring, its acceleration is -9.8 m/s². This is because the elevator is moving downwards and accelerating due to gravity.
To solve for the speed of the elevator after it has moved downward 1.00 from the point where it first contacts a spring, we need to use the formula for potential energy and kinetic energy:
Potential Energy (PE) = Kinetic Energy (KE)
mgh = 1/2 mv²
where m is the mass of the elevator, g is the acceleration due to gravity, h is the height, and v is the velocity.
Rearranging the formula, we get:
v = √(2gh)
Substituting the given values, we get:
v = √(2 × 9.8 × 1) = 2.23 m/s
To solve for the acceleration of the elevator when it is 1.00 below the point where it first contacts a spring, we simply use the acceleration due to gravity which is -9.8 m/s². The negative sign indicates that the acceleration is directed downwards.
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The wavelengths in the hydrogen spectrum with m = 1 form a series of spectral lines called the Lyman series. Calculate the wavelengths of the first four members of the series.

Answers

the wavelengths in the hydrogen spectrum of the first four members of the series where m=1, the first four members have the wavelength of \(1.464 * 10^7 m,\) \(1.231 * 10^7 m,\) \(1.164 * 10^7 m,\) and \(1.097 * 10^7 m.\)

The wavelengths of the spectral lines in the Lyman series of the hydrogen spectrum can be calculated using the Rydberg formula:

1/λ = \(R * (1/n1^2 - 1/n2^2)\)

Where λ is the wavelength of the spectral line, R is the Rydberg constant (approximately \(1.097 * 10^7 m^-^1)\), and n1 and n2 are positive integers representing the energy levels of the electron in the hydrogen atom.

For the Lyman series, we have m = 1, which means the electron transitions from higher energy levels (n2) to the first energy level (n1 = 1).

Let's calculate the wavelengths for the first four members of the Lyman series:

For n2 = 2:

1/λ = \(R * (1/1^2 - 1/2^2)\)

1/λ = \(R * (1 - 1/4)\)

1/λ = \(R * (3/4)\)

λ = \(4/3R\)

Substituting the value of the Rydberg constant:

λ = \((4/3) * (1.097 × 10^7 m^-^1)\)

λ ≈ \(1.464 * 10^7 m\)

For n2 = 3:

1/λ = \(R * (1/1^2 - 1/3^2)\)

1/λ = \(R * (1 - 1/9)\)

1/λ = \(R * (8/9)\)

λ = \(9/8R\)

Substituting the value of the Rydberg constant:

λ = \((9/8) * (1.097 * 10^7 m^-1)\)

λ ≈ \(1.231 * 10^7 m\)

For n2 = 4:

1/λ = \(R * (1/1^2 - 1/4^2)\)

1/λ = \(R * (1 - 1/16)\)

1/λ = \(R * (15/16)\)

λ = \(16/15R\)

Substituting the value of the Rydberg constant:

λ = \((16/15) * (1.097 * 10^7 m^-^1)\)

λ ≈ \(1.164 * 10^7 m\)

For n2 = 5:

1/λ = \(R * (1/1^2 - 1/5^2)\)

1/λ = \(R * (1 - 1/25)\)

1/λ = \(R * (24/25)\)

λ = \(25/24R\)

Substituting the value of the Rydberg constant:

λ = \((25/24) * (1.097 * 10^7 m^-^1)\)

λ ≈ \(1.097 * 10^7 m\)

Therefore, the wavelengths of the first four members of the Lyman series are approximately:

\(1.464 * 10^7 m,\)

\(1.231 * 10^7 m,\)

\(1.164 * 10^7 m,\)

and \(1.097 * 10^7 m.\)

Learn more about Lyman series here:

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