What is the correct number of p orbital electrons in cyclopentadienyl anion?
a) 6
b) 2
c) 5
d) 4

If the time interval during which it falls is cut in half, the distance it fall will be decreased by a factor of 4.

When there is an uniform acceleration,

s = vt - 1/2 a[tex]t^{2}[/tex]

where,

s = Displacement or distance travelled

v = Final velocity ( Here v = 0 )

a = Acceleration

t = Time

[tex]s_{1}[/tex] = - 1/2 a[tex]t_{1} ^{2}[/tex]

[tex]s_{2}[/tex] = - 1/2 a[tex]t_{2} ^{2}[/tex]

Given that,

[tex]t_{2}[/tex] = [tex]t_{1}[/tex] / 2

[tex]t_{1}[/tex] = 2 [tex]t_{2}[/tex]

Rate of change of displacement [tex]s_{2}[/tex] / [tex]s_{1}[/tex] = ( - 1/2 a[tex]t_{2} ^{2}[/tex] ) / ( - 1/2 a[tex]t_{1} ^{2}[/tex] )

                                                                = [tex]t_{2} ^{2}[/tex] / 4[tex]t_{2} ^{2}[/tex]

                                                            [tex]s_{2}[/tex] = [tex]s_{1}[/tex] / 4

The equation s = vt - 1/2 a[tex]t^{2}[/tex] is an equation of motion. Equations of motion describes a physical system's motion with respect to time.

Therefore, If the time interval during which it falls is cut in half, the distance it fall will be decreased by a factor of 4

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The statement is incorrect as the Speed of anything cannot be negative.

The speed of a body is a scalar quantity and the speed of anybody may be defined as the distance covered by the body per unit of time. the speed of anybody is represented in the form of Distance and time as:

Speed = Distance/time

As both Distance and time are quantities that can never have a negative value therefore the speed of a body also can never have a negative value. In this statement a student refers to a bird and says that its speed is - 7m/s which indicates that the speed is negative that is why this statement is wrong as speed can never have a negative value. The speed of a body is always positive or zero.

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The difference quotient that best approximates the instantaneous rate of change is 1.

Average rate of change is rate at which one value within a function changes in relationship to another. The average rate of change is usually used to determine slope of a graphed function.

Let's explore how to find average rate of change and use linear and nonlinear functions to demonstrate it.

The average rate of change the formula is used to find the slope of a graphed function. To find average rate of change, divide the change in y-values by the change in x-values.

Finding average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.

We can define average rate of change of a function f(x) in interval [a, b] as:

[tex]r=\frac{f_{b}-f_{a} }{b-a}[/tex]

Particularly, if we want to find an approximation of rate of change for a particular value x', we can choose:

a < x' < b

Such that a and b are close to x'.

Then if we want to find the instantaneous rate of change of g at x = 0, we need to find the values of a and b really close to zero.

Looking at the table, we can choose:

a = -0.001

b = 0.001

(are two closer ones to zero)

Then rate of the change can be written as:

[tex]f(x)=\frac{g(0.001)-g(-0.001)}{0.001-(-0.001)}=\frac{2.001-1.999}{0.002}=1[/tex]

From that, we can conclude that a good approximation of instantaneous rate of change is 1.

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The correct answer 27 mm^3 is the volume of the cube measureing 3 mm x 3 mm x 3 mm.

The cube's volume is 3 in x 3 in x 3 in = 27 mm ^3

The volume of a cube is calculated by multiplying its side by three. Thus, the volume of a cube can be expressed as Volume of cube = s ^3, where s is the cube's side length. A cube's volume is the space enclosed by its six faces. In contrast to 2d shapes, it has additional dimensions in addition to length and width, which are known as height and thickness. As a result, the volume of a cube equals the product of its length, width, and height.

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Answer:

30s

Explanation:

Q = charge in C(coulombs)

I = current in A(amps)

t = time in s(seconds)

Q = I × t

t = Q/I

Substitute in the given values.

t = 450C/15A = 30

t = 30s

Hope this helps! ^^

The heater was switched on for 30 seconds to allow 450 C of charge to flow through it.

To find the time the heater was switched on, we can use the equation Q = It,

where Q represents the total charge in coulombs, I is the current in amperes, and t is the time in seconds.

Given that the current (I) is 15 A and the total charge (Q) is 450 C, we can rearrange the equation to solve for time (t):

t = Q / I

Substitute the values:

t = 450 C / 15 A

t = 30 seconds

Therefore, the heater was switched on for 30 seconds to allow 450 C of charge to flow through it.

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The constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

When two objects collide the momentum is always conserved no matter the type of collision. But in case of kinetic energy, it is conserved only if the collision is elastic. Here the collision is elastic due to the presence of a spring. So, in this situation kinetic energy is conserved.

At maximum compression, According to law of conservation of momentum,

Sum of linear momentum before collision = Sum of linear momentum after collision

[tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] = ([tex]m_{1} + m_{2}[/tex] ) V

V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

where,

V = Velocity of center of mass

[tex]m_{1}[/tex] = Mass of glider 1

[tex]m_{2}[/tex] = Mass of glider 2

[tex]v_{1}[/tex] = Velocity of glider 1

[tex]v_{2}[/tex] = Velocity of glider 2

Therefore, the constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

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The resultant internal loading acting on the cross section of C are Normal force of 0 N, Shear force of 233.33 N and Bending moment of 433.325 N.

We know that Moment = Force * Distance.

Given that,

Force along span C = 600 N / m

First chart a free body diagram as shown in Fig 1.

The distributed load along span c is replaced by a point load F at its midpoint.

Force at midpoint of span C = 600 * 2 N

Take moments about point A

Σ [tex]M_{A}[/tex] = 0

-600 * ( 2 ) * [ 1 + ( ( 1 + 1 ) / 2 ) ] + [tex]B_{y}[/tex] ( 4.5 ) - 900 ( 6 ) = 0

- 2400 + 4.5 [tex]B_{y}[/tex] - 5400 = 0

[tex]B_{y}[/tex] = 1733.33 N

Consider a section at Point C and draw a free body diagram as shown in Fig 2.

In fig 2,

[tex]V_{C}[/tex] = Shear force at point C

[tex]N_{C}[/tex] = Normal force at point C

[tex]M_{C}[/tex] = Bending moment at point C

Applying equilibrium condition to the system. Consider equilibrium of Forces along X direction

Σ [tex]F_{x}[/tex] = 0

[tex]N_{C}[/tex] = 0 N

Consider equilibrium of Forces along Y direction

Σ [tex]F_{y}[/tex] = 0

[tex]V_{C}[/tex] - 600 ( 1 ) + [tex]B_{y}[/tex] - 900 = 0

[tex]V_{C}[/tex] = 600 - 1733.33 + 900

[tex]V_{C}[/tex] = 233.33 N

Take moment about point C

Σ [tex]M_{C}[/tex] = 0

- [tex]M_{C}[/tex] - 600 ( 1 ) ( 1 / 2 * 1 ) +  [tex]B_{y}[/tex] ( 2.5 ) - 900 ( 4 ) = 0

- [tex]M_{C}[/tex] - 300 + 2.5 ( 1733.33 ) - 3600 = 0

[tex]M_{C}[/tex] = 433.325 N

The resultant internal loading acting on the cross section are Normal force, Shear force and Bending moment

Therefore, The resultant internal loading acting on the cross section of C are as follows

Normal force [tex]N_{C}[/tex] = 0 N

Shear force [tex]V_{C}[/tex] = 233.33 N

Bending moment [tex]M_{C}[/tex] = 433.325 N

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5.3 km

This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

By simple calculations, we can derive the unit vectors j,[tex]\frac{-i-j}{2}[/tex] and in the directions North,  South of West, and  North of West respectively.

So Total displacement vector = The Sum of individual displacement vectors.

Displacement vector = -4.25i + 3.165j

The magnitude of Displacement =| -4.25i + 3.165j |  = 5.3km

∴ Total displacement = 5.3km

A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.  It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.

The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.

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By using drift velocity of the electron, the current flow is 7.20 ampere.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

d = 2.097 mm

r = (0.002097 / 2) m

v = 1.54 mm/s = 0.00154 m/s

ρ = 8.92 x 10³ kg/m³

q = e = 1.6 x 10¯¹⁹C

Find the atom density

n = Na x ρ / Mr

where Na is Avogadro's number (6.022 x 10²³), Mr is the atomic weight of copper (63.5 g/mol = 0.635 kg/mol).

n = 6.022 x 10²³ x 8.92 x 10³ / 0.635

n = 8.46 x 10²⁷ /m³

Find the current flows

v = I / (n . A . q)

0.00154 = I / (8.46 x 10²⁷ . πr² . 1.6 x 10¯¹⁹)

0.00154 = I / (8.46 x 10²⁷ . π(0.002097 / 2)² . 1.6 x 10¯¹⁹)

I = 7.20 ampere

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It is true that Ernest Rutherford contributed significantly to the theory of atomic structure.

He observed that particles with a positive charge deflected when passing through a thin sheet of gold foil concluded that the positive part of the atom is small and dense.

The Ernest Rutherford experiment describes planetary model of an atom. According to the model, an atom has a tiny, compact, positively charged centre called a nucleus, where almost all of the mass is concentrated, while light, negatively charged particles called electrons orbit far around it, much like planets orbit the Sun. In his experiment, the observation that a positive charge is deflected through a thin sheet of gold foil led to the conclusion that the deflection some of the positive charge occurs in a small region of the atom while the majority passed through the atom (which was also concluded to be empty space).

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The angle to find the magnitude of the resultant force of two vectors 90 DEG.

Greatness by and large alludes to the amount or distance. According to the development, we can associate extent with the size and speed of the article while voyaging. The size of the item or the sum is its greatness. Like in the event of speed, a vehicle is voyaging quicker than a motorbike. Size alludes to the evaluating of the splendor of stars, the first being the most brilliant. It has been moved to different issues since basically the seventeenth century. Magnitude for the most part alludes to the amount or distance. Corresponding to the development, we can connect greatness with the size and speed of the item while voyaging. The size of the item or the sum is its greatness. Like in the event of speed, a vehicle is voyaging quicker than a motorbike.

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Because,

The mechanism that starts, directs, and sustains goal-oriented behaviour is known as motivation. For instance, it spurs you on to get that job promotion or helps you maintain your weight loss. Simply defined, motivation encourages you to take steps that advance your goals.

The word "motivation" is widely used in ordinary speech to refer to the factors influencing someone's actions. It is what spurs people into taking certain actions. The biological, emotional, social, and cognitive variables that drive human behaviour are all included in motivation.

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Mechanical power is being provided for constant rotation of the armature in operating mechanical devices.

The armature has two functions. The first is to transport current across the field, resulting in shaft torque in a rotating machine or force in a linear machine. The second function is to create electromotive force (EMF).

The relative motion of the armature and the field produces an electromotive force in the armature. When employed as a motor, the EMF opposes the armature current, and the armature transforms electrical power to mechanical power in the form of torque and transfers it via the shaft. The armature EMF drives the armature current, and the shaft movement is converted to electrical power when the machine is utilized as a generator.

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The correct answer for  the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, y = 4x is 128/3 * π.

Volume of Solid of Revolution by Shell method is given by

V = 2π * integrate x(height) dx Here, height = 4x-x2

(1)& x-varies from x = 0 to x = 4 then from eqn(1)  V = 2π * integrate x(4x - x ^ 2) dx from x = 0 to 4 = 2π * integrate (4x ^ 2 - x ^ 3) dx from x = 0 to 4

Basic Rule(1) ∫ x^n dx =x^ n+1/ n+1

V=2 π [4((x ^ 3)/3) - (x ^ 4)/4] 0 ^ 4 =2 π[ 4/3 x^ 3 - x^ 4/4 ] 0 ^ 4

V = 2π [4/3 * 4 ^ 3 - (4 ^ 4)/4} - 0]

V = 128/3 * π.

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When osmium goes from a solid to a liquid and finally a gas, the element has undergone phase changes

The osmium is a transition chemical element which is also known as "Os" in the periodic table. Its atomic number is 76. It is hard, brittle, bluish metal at room temperature, but it can be liquid when it heats up until its melting point (3000°C) and if it keeps heating it can finally be a gas when it reaches its boiling point (5500°C).

The phase change materials, also known as PCMs, are the elements able to absorb, store and release large amounts of heat over a defined temperature range when the element changes phase or state.

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The correct option is (d) It is measured how many unstable elements are present in the volcanic layers above and below the sedimentary layers.

Researchers use some kind of clock to ascertain the date when a rock or fossil was generated in order to calculate its age. In order to reliably date historic events, geologists frequently utilize radiometric dating techniques, which are based on the natural radioactive decay of specific elements like potassium and carbon.

Natural radioactive decay results from the atomic nucleus becoming unstable and releasing fragments. Radioactive particles are released as a result (there are many types). When the number of protons and neutrons in the nucleus is balanced as a result of this decay process, the atom becomes stable.

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The wavelength of a photon (in nm) emitted when an electron transitions from the n = 3 state to the n = 1 state in the hydrogen atom is 103 nm

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.

There are two energy levels, n1 and n2.

Beginning with Rydberg's equation, write:

The Rydberg is useful for figuring out the wavelength of light emitted when an electron switches from one energy level of an atom to another, for as from higher to lower or lower to higher. When an electron moves from one orbital to another, the energy will change.

1/λ = R(1/n1^2 - 1/n2^2)

1/λ = 1.097 x 10^7 (1/1^2 - 1/3^2)

1/λ = 1.097 x 10^7(8/9)

1/λ = 9/8.776 x 10^7 = 103 x 10^-9 m = 103 nm

Hence, the wavelength of a photon is 103 nm

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According to Chebyshev's Theorem, the percentage of data within k standard deviations of the mean must be at least 1 - 1/k2 for any distribution, normal or otherwise.

In this instance, the mean is 1600 and the standard deviation is 120. The boundaries are set at 1240 and 1960. 360 data points are below and above the mean here. Considering that the standard deviation is 120 and that the mean is within 3 standard deviations of that value (360/120), k is equal to 3. As a result, 1 - 1/32 equals 1 - 1/9. This is 8/9, or almost 89%.

There is a range of 1360 to 1840. Within two standard deviations of the mean, this is 240 above and below the mean. Consequently, at least a fraction of the data fall inside this range.

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A gaseous system's pressure will rise by a factor of 2 if its volume is increased by a factor of 3 and its temperature is raised by a factor of 6.

The stress at a location within a confined fluid or the perpendicular force per unit area are the two definitions of pressure used in the physical sciences. A surface will be subject to pressure from a 42-pound box with a bottom area of 84 square inches equivalent to half a pound per square inch of applied force. The weight of the atmosphere pressing down on each square inch of the Earth's surface is known as atmospheric pressure, which is approximately 15 pounds per square inch at sea level. In SI units, pressure is expressed in Pascals.

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The scale is said to be reliable but not valid.

A person weighing 100 pounds is expected to return the same weight on mounting a scale, measuring 200 pounds means the scale is probably uncalibrated. However, when the person steps off and climbs back and the scale still shows 200 pounds this means the scale is reliable but not valid. The scale would have been rendered unreliable and invalid if it returns a different weight of the person. Hence, the scale is working but needs to be calibrated properly. It is also probable that the scale had been earlier set to 100 pounds which explains the reason for a doubled result.

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Answer:

c. prone; supine

Explanation:

The unifying relationship among the variables temperature, volume, pressure, and the number of moles is described and summarized by the ideal gas law.

The equation for ideal gas law is given below where T is temperature, V is the volume, P is the pressure, n is the number of moles of the gas, and R is the gas constant 0.082056 L⋅atm/mol⋅K

PV = nRT

Calculate first the moles of O2 from the moles of Ag2O

moles O2 = 0.5 moles Ag2O x 1 mol O2/2 mol Ag2O = 0.25 moles

Assuming that the oxygen gas is an ideal gas, we will use the ideal gas equation to calculate the volume it occupies.

V = nRT/P

V = 0.25 moles*0.082056*546k/1 atm =

11 L

Hence, volume of pure oxygen gas (o2) is 11 L

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The final velocity of block 1 is 2.2m/s and the final velocity of block 2 is 3.4m/s.

Although the terms scalability and elasticity are occasionally used interchangeably, scalability is more commonly used to describe a system's ability to successfully handle an increasing workload, while elasticity implies that the system is also capable of rapidly expanding or decreasing capacity and services. The capacity of an IT environment to grow and shrink in response to business requirements is one of its characteristics. Physics defines resilience as a material's ability to absorb energy and react elastically in order to maintain its integrity and avoid deforming as a result of the pressures it is subjected to.

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The magnitude of ax is given by |ax|= | v₀²/2(d −v₀t) |

acceleration: change in velocity with respect to time.

It is a vector quantity. That means it has both magnitude. As well as direction.

a = dv/dt

where

dv = change in velocity

dt = Time

the unit of acceleration is m/s²

magnitude of  acceleration is represented by its unit and the direction is represented by a unit vector.

according to the Newton's Second Law acceleration is proportional to the total force and inversely proportional to the objects mass.

magnitude of acceleration is proportional to magnitude of this force.

The magnitude of ax is given by |ax|= | v₀²/2(d −v₀t) |

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The answer of the question is

(a)Voltage or Volt

(b)Ampere (A)

(c)Ohm

The average speed of the space shuttled in miles per second is 5 miles.

The Space Transport is a resigned, to some degree reusable low Earth orbital rocket framework worked from 1981 to 2011 by the U.S. Public Flying and Space Organization as a feature of the Space Transport program. It's true program name was Space Transportation Framework, taken from a 1969 arrangement for an arrangement of reusable rocket where it was the main thing financed for improvement. A completely collected transport is 184 feet tall and weighs 4,500,000 pounds. The cove is 15 feet in breadth and 60 feet in length; sufficiently enormous to fit a school transport or 50,000 pounds of payload. The bus's speed on circle is around 17,500 mph. The bus has three primary components, the orbiter, the twin strong rocket sponsors and the outer tank.

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A sled sliding down the hill will have more Kinetic energy than a sled resting at the top of a hill.

We know that,

Kinetic Energy KE = [tex]1/2 mv^{2}[/tex]

A sled resting at the top of a hill will have zero velocity.

KE of a sled resting at the top of a hill = 0

Kinetic Energy is the energy of motion which is directly proportional to the velocity of the object.

Therefore Kinetic energy of a sled sliding down the hill is more than that of a sled resting at the top of a hill.

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Answer:

It improves mental clarity allowing you to think better

it allows you to take a break from studying and provides a healthy destressor

Alleviates feelings of stress

Explanation:

The gravitational pull accelerates the Earth more since it is less heavy and causes it to move more quickly.

The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. We couldn't survive without gravity. It produces the force that keeps the Earth in orbit around the Sun and keeps us on the surface of the planet. When two objects contact, forces are the mechanism by which energy is transmitted from one to the other, but forces do not themselves contain energy. Since gravity is a force, it only offers one method for objects to exchange energy and change its state.

The weakest force that humans are aware of is gravity.

Weight and gravity are not the same.

Gravity generates waves that move at light speed.

Gravitons, which are massless particles, may carry gravity.

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