Which three steps, placed in the proper order, are required for a nuclear chain reaction?.

Answers

Answer 1

There are three basic steps in a nuclear fission chain reaction are Initiation, Propagation, Termination.

What are the three steps of nuclear fission ?

1. Initiation

The nuclear fission  of [tex]U_{235} ^{92}[/tex] is started by the absorption of a neutron; a single atom must react in order for the chain reaction to begin.

2. Propagation:-

With each stage producing additional product, this component of the process is repeated repeatedly. When [tex]U_{236} ^{92}[/tex] splits apart, neutrons are released, which start the nuclear fission of more uranium atoms.

3. Termination:

The chain will come to an end eventually. Termination might take place if the reactant [tex]U_{235} ^{92}[/tex] is exhausted or if the subsequent neutrons in the chain leave the sample without being absorbed by [tex]U_{235} ^{92}[/tex].

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Related Questions

Can a wire carry a current and still be neutral—that is, have a total charge of zero? Explain.

Answers

When a wire is carrying current, charges enter the wire at the positive terminal of the voltage source and exit at the negative terminal, keeping the overall charge at zero throughout the current's passage.

Wire carries a current and still be neutral:

Charge moving across a conductor produces current. There is always the same number of electrons in a wire today. As a result of an equal amount of electrons entering and exiting the circuit simultaneously, current flows through the wire when electrons enter the circuit. Current flow may nevertheless be neutral with no overall charge.

Neutral wires do indeed carry current. In single-phase circuits, the current flows in the opposite direction from the "phase" or "line" or "hot" wire, but it is exactly equal to that current. Out of "line," into "neutral," back into "line," and finally back into "neutral" and back into "line" (since it is AC the direction reverses every cycle.)

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In a transformer, energy is carried from the primary coil to the secondary coil by:________

Answers

In a transformer, energy is carried from the primary coil to the secondary coil by magnetic field in the iron core.

To find the answer, we have to know more about the transformer.

How transformer works?An item utilized in the transfer of electric energy is a transformer. AC current is used for transmission. It is frequently used to modify the supply voltage between circuits without altering the AC frequency.The fundamentals of mutual and electromagnetic induction govern how the transformer operates. Magnetic field through the primary coil changes when primary coil current varies. the iron core of the secondary coil likewise has a magnetic field. EMF is therefore generated in the secondary coil.

Thus, we can conclude that, in a transformer, energy is carried from the primary coil to the secondary coil by magnetic field in the iron core.

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Will plane waves incident upon a small opening in a barrier fan out on the other side or continue as plane waves?

Answers

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

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

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

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

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

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

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

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

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

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

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Research how generators and transformers are used. Explain how faraday’s law is applied and why the designs are practical and therefore widely used?

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The “Generators” generate current, and transformers convert between current and voltage. According to Faraday's law, the magnetic flux enclosed by a closed path changes at a time rate whose negative is equal to the electromotive force surrounding the way.

Generators are machinery that transforms mechanical energy into electrical energy. A static device called a transformer is used to move electrical energy from one circuit to another. Magnetic coupling and electrical separation characterize a transformer.

A fundamental property of electromagnetism known as Faraday's law of induction describes how a magnetic field will interact with an electric circuit to produce an electromotive force or electromagnetic induction.

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An astronaut travels to a position in space that is a height of 2R above the surface of the earth, where R is earths radius.At this height, the force of earths gravity is ____ of its force at the surface.
A.1/8
B.1/9
C.1/4
D.1/3​

Answers

Answer:

1/8

Explanation:

2R is the same as 1D, so you are a full diameter above yhe earth. The diameter of the earth is 12,742km, space starts at 100km so it probably isn't a third or a quarter. it is most likely an 1/8 or 1/9. if I had to guess it would be 1/8

. A rocket accelerates in a space at a rate of "1 g." The rocket exerts a force of 12,482 N. Later in flight the rocket exerts 46,458 N. What is the rockets new acceleration? What is the rocket's new acceleration in "g's?"

Answers

Explanation:

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

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

What is acceleration?

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

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

F = ma

And, a = F/m

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

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

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

The ratio of forces:

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

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

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

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

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A mass m is attached to an ideal massless spring with spring constant k. In experiment 1 the mass oscillates with amplitude a, and period t. A student grabs the mass and brings it to rest before starting experiment 2. In experiment 2, the mass is set to oscillate with a larger amplitude of 3a. What is the period of the oscillation in experiment 2?.

Answers

Time period remains the same in both the experiment as change in amplitude does not affect time period.

What are the factors on which time period depends in SHM?

Time period is given by:

[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex]

where,

T = time period

m = mass

k = spring constant

In a straightforward harmonic motion, we see from the preceding formula that the time period depends only on the object's mass and spring constant (SHM). The time period will adjust to any variations in the object's mass or the spring constant.

What is Spring Constant?

A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces. In other words, it characterises a spring's stiffness and the extent of its range of motion.

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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t, at what rate will it now radiate?.

Answers

The answer is heat radiates at a rate of 160w.

What is emissivity?

A substance's emissivity is a measure of how well it reflects heat radiation from its surface. Infrared radiation, which cannot be seen by human eyes, as well as visible radiation (light) are both examples of thermal radiation, which is electromagnetic radiation. The Stefan-Boltzmann law defines emissivity as the quantitative ratio of a surface's thermal radiation to that of an ideal black surface at the same temperature. The ratio is in the range between 0 and 1.

what is energy radiation?

The ability of a substance to reflect heat radiation from its surface is measured by its emissivity. The material's surface emissivity and the temperature difference between the chip surface and the surrounding air are two factors that affect power dissipation in the form of radiation.

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How will sunlight most likely affect a black shirt on a hot summer day? the temperature of the shirt will depend on how much sunlight is diffracted around the shirt. the temperature of the shirt will not change because the sunlight is transmitted through the shirt to the body. the temperature of the shirt will decrease because most of the light is reflected off of the shirt. the temperature of the shirt will increase because all wavelengths of light are absorbed by the shirt.

Answers

The correct answer is option (C) the temperature of the shirt will increase because all wavelengths of light are absorbed by the shirt.

The relationship of heat and light

Heat is a measure of the movement of particles in the body, the more particles move, the warmer the body becomes. When the body absorbs light radiation, its particles vibrate in accordance with the electromagnetic radiation's wavelengths, which causes an increase in the temperature with the increase in particle movement. The more wavelengths of radiation absorbed by an object, produces more heat.

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Consider the previous question. which has the greater acceleration: the bug or the windshield?

Answers

The bug has the greater acceleration because it has the smaller mass

The bug has a greater change in velocity (acceleration) due to experiencing equal force as a much smaller mass.

What is Acceleration ?

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

An object's velocity can alter depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration.

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When a solid is heated, it emits electromagnetic radiation known as ________________. an example of such radiation is the element of a stove top burning bright red.

Answers

Answer:

I think the answer is thermal radiation

Recall the word ""speed"". what is speed? what equation(s) do we have for calculating speed? how can we measure the speed of a moving object?

Answers

Answer:

Speed = distance traveled / time

Speed is a "scalar" quantity

Velocity = Vector Distance Traveled / time

Velocity is a vector quantity.

Example:

One can travel one lap around a track at some particular speed and his average speed will be (lap distance / time)

However, his vector velocity would be zero because he ended up where he started with zero displacement.

A cosmic-ray electron moves at perpendicular to earth’s magnetic field at an altitude where the field strength is. what is the radius of the circular path the electron follows?

Answers

4.266 m is the radius of the circular path the electron follows.

Given

Speed of electron (v) = 7.5 × 10⁶ m/s

Earth's Magnetic Field (B) = 1 × 10⁻⁵ T

We already know that

Mass of electron (m) = 9.1 × 10⁻³¹ kg

Charge on electron (q) = 1.6 × 10⁻¹⁹ C

According to the formula

Radius of circular path(r) = mass on electron × speed/ Charge × Magnetic field

Radius of circular path(r) = m × v/q × B

Put the values into the formula

r = 9.1 × 10⁻³¹ × 7.5 × 10⁶/ 1.6 × 10⁻¹⁹ × 10⁻⁵

On solving, we get

r = 4.266 m

Hence, 4.266 m is the radius of the circular path the electron follows.

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A particle (m = 3. 5 × 10-28 kg) starting from rest, experiences an acceleration of 2. 4 × 107 m/s2 for 5. 0 s. what is its de broglie wavelength λ at the end of this period?

Answers

The de Broglie wavelength of the particle is 1.578*10^-3nm.

To find the answer, we have to know about the de Broglie wavelength.

How to find the de Broglie wavelength?We have the expression for de Broglie wavelength as,

                          [tex]wavelength=\frac{h}{P} =\frac{h}{mv}[/tex]

where, h is the plank's constant, m is the mass and v is the velocity.

It is given that,

                               [tex]m=3.5*10^{-28}kg\\a=2.4*10^7m/s^2\\t=5s\\h=6.63*10^{-34}Js[/tex]

Substituting the values, we get,

                           [tex]wavelength=\frac{6.63*10^{-34}}{3.5*10^{-28}*2.4*10^7*5}=1.578*10^{-14}m\\\\ wavelength=1.578*10^{-3}nm.[/tex]

Thus, we can conclude that, the de Broglie wavelength of the particle is 1.578*10^-3nm.

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Two objects have the same velocity. These two objects have different masses. Which object will

have greater momentum? Why?​

Answers

Answer:

The object with the greater mass will have the greater momentum

Explanation:

The momentum of an object with mass m, moving with velocity , is given by the formula

M = mv

Since both objects have the same velocity v, it is clear that the object with the bigger mass will have the greater momentum

A basketball is thrown with an initial upward velocity of feet per second from a height of feet above the ground. the equation models the height in feet t seconds after the basketball is thrown. after the ball passes its maximum height, it comes down and then goes into the hoop at a height of feet above the ground. about how long after it was thrown does it go into the hoop?

Answers

The answer is t=1.29 seconds.

What is Velocity?The rapidity of movement or operation; swiftness; speed: a high wind velocity. Mechanics. the time rate of evolution of position of a body in a specified demand. the rate of speed with which something happens; rapidity of movement or reaction.Velocity is the prime hand of the position as well as the rapidity of the object. It can be characterized as the distance covered by an object in a unit of time. Velocity can be defined as the displacement of an object in a unit of time.Velocity (v) is a vector amount that measures displacement (or change in position, Δs) over the change in time (Δt), described by the equation v = Δs/Δt. Speed (or rate, r) is a scalar amount that measures the distance traveled (d) over the transformation in time (Δt), represented by the equation r = d/Δt.

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Since nuclear fusion in the sun creates energy from matter, why doesn't it violate the law of conservation of energy?

Answers

Since nuclear fusion in the sun creates energy from matter, Einstein's formula E=mc² states that matter and energy are equal.

To find the answer, we have to know more about the nuclear fusion.

What is nuclear fusion?We are aware that the sun can achieve nuclear fusion by the fusion of hydrogen atoms. These atoms need to get closer to one another in order to fuse. Since both protons inside each nucleus are positively charged, they attempt to repel one another as they get closer to one another. If this issue cannot be solved, nuclear fusion in the sun cannot occur.

Thus, we can conclude that, since nuclear fusion in the sun creates energy from matter, Einstein's formula E=mc² states that matter and energy are equal.

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What are the wavelengths of electromagnetic wave in free space that have the following frequencies?.

Answers

~400 nm to ~700 nm are the wavelengths of electromagnetic wave in free space.

What are the wavelengths of electromagnetic wave in free space?

Electromagnetic waves are categorized on the basis of their frequency f, which is equivalent to wavelength λ = c/f. Visible light has a wavelength that ranges from ~400 nm to ~700 nm. Violet light has a wavelength of ~400 nm, and having a frequency of ~7.5*1014 Hz.

So we can conclude that: ~400 nm to ~700 nm are the wavelengths of electromagnetic wave in free space.

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The wavelengths of the light are 4.3 * 10^-12 m and 0.2 m respectively.

What is wavelength?

The term wavelength has to do with the horizontal distance that is covered by a wave. We know that a long wavelength implies that the wave is able to travel a long distance from one point to another.

Given that;

c = λf

c = speed of light

λ = wavelength of ight

f = frequency of light

Thus;

λ = 3 * 10^8/ 7.00 x 10^19

λ = 4.3 * 10^-12 m

λ = 3 * 10^8/1.50 x 10^9

λ = 2 * 10^-1 or 0.2 m

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Missing parts:

What are the wavelengths of electromagnetic wave in free space that have the following frequencies? (a) 7.00 x 10^19 Hz______ pm (b) 1.50 x 10^9 Hz__________ cm

Why can rock avalanches move downslope at speeds exceeding 200 km/hr (125 mi/hr)?

Answers

Rock avalanches move downslope at speeds exceeding 200 km/hr (125 mi/hr) because when the soil expands and compresses, it lifts certain particles and drops them downslope a short distance.

Landslides are the common name for soil or rock avalanches. The most frequent type of avalanche, snowslides, can travel downhill more quickly than a skier. When an unstable snow mass detaches from a slope, a snow avalanche starts.

Rock avalanches are caused by the rapid breakup of initially intact, highly fast-moving rock masses during transportation. In mountainous areas, rock avalanches, which are unexpected rock slope failures marked by high velocities, lengthy runouts, and massive volumes, are among the most deadly and costly geological hazards.

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Which two fundamental forces act within an atom’s nucleus? the gravitational force the electromagnetic force the strong nuclear force the weak nuclear force the electric force

Answers

The two fundamental forces act within an atom’s nucleus include the strong nuclear force and the weak nuclear force.

What are the fundamental forces of atoms nucleus?.

The fundamental forces of atoms nucleus are the forces that act within the nucleus of an atom which include the following:

The strong nuclear forces: These are the forces that enhances the binding of the nucleus together.

The weak nuclear forces:. These are the forces that are responsible for nuclear decay.

Therefore, the two fundamental forces act within an atom’s nucleus include the strong nuclear force and the weak nuclear force.

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If a total force exerted by water in a container with a bottom area of 3 square meters is 900 newtons, what's the water pressure at the bottom of the container?

Answers

Answer:p=300 PaExplanation:

_______________

S=3 m²

F=900 N

_______________

p - ?

_______________

p=F/S=900 N / 3 m² = 300 Pa

Calculate the value of ∆g for these initial partial pressures. (the partial pressure of each gas is set a 5. 0 atm at 25°c) (use ∆g = rt ln (q/k), use the k at 25°c)

Answers

∆g for these initial partial pressures is 10,403.31 KJ.

   

ΔG gets increasingly positive as a product gas's partial pressure is raised. ΔG becomes more negative as the partial pressure of a reactant gas increases.

                                  ∆g = RT ln (q/k)

In this equation: R = 8.314 J mol⁻¹ K⁻¹ or 0.008314 kJ mol⁻¹ K⁻¹

                            K = 325

If ΔG < 0, then K > Q, and the reaction must proceed to the right to reach equilibrium.

∆g = RT ln (q/k)

        = 8.314 × 298 ln ( 5 / 325)

        = 2477.57 ln 0.015

        = 2477.57 × (-4.199)

        = 10,403.31 KJ

Products are preferred over reactants at equilibrium if G° 0 and both the products and reactants are in their standard states. When reactants are preferred above products in equilibrium, however, if G° > 0, K 1. At equilibrium, neither reactants nor products are preferred if G° = 0, hence K = 1.

Therefore, ∆g for these initial partial pressures is 10,403.31 KJ.

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We see a full moon by reflected sunlight. How much earlier did the light that enters our eye leave the sun? the earth-moon and earth-sun distances are 3. 8 x 105 km and 1. 5 x 108 km

Answers

The time taken by the light reflected from sun to reach on earth will be 8.4 minutes.

To find the answer, we need to know about the distance travelled by light.

How to find the time taken by the light reflected from sun to reach on earth?So, in order to solve this problem, we must first know how far the moon is from Earth and how far the Sun is from the moon. These distances are given as 3.8×10^5 km (Earth-Moon) and 1.5×10^8 km (Sun- Earth). Since the Moon and Sun are on opposite sides of Earth during a full moon, the light's distance traveled equals,

         [tex]d=(1.5*10^8km)+2(3.8*10^5km)=1.51*10^8km=1.51*10^{11}m[/tex]

As we know that light travels at a speed of 300,000 km per second. then, the time taken by the light reflected from sun to reach on earth will be,

                      [tex]t=\frac{1.51*10^{11}}{3*10^8}=503.33 s\\t=\frac{503.33}{60}=8.4min[/tex]

Thus, the time it takes for the light from the Sun to reach Earth and be recognized as 8.4 minutes.

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A bus travelling at 30m/s along a straight road passes throu a stationary taxi cab.the can begins to move 5seconds later within a uniform acceleration of 2metres per seconds square in the same direction as the bus.1.calculate the time taken by the cab to meet the bus.2.distance the cab has travelled to catch-up with the bus

Answers

(1) The time taken by the cab to meet the bus is 18.96 seconds.

(2) The distance the cab has travelled to catch-up with the bus is 718.96 m.

Distance between the bus and the cab

The distance between the bus and the cab when the cab begins to move is calculated as follows;

D = speed x time

D = 30 m/s x 5 s

D = 150 m

Velocity of the cab

The velocity of the cab when it begins to move is calculated as follows;

v = at

(v - 30)t = D

(at - 30)t = 150

(2t - 30)t = 150

2t² - 30t = 150

2t² - 30t - 150 = 0

solve the quadratic equation using formula method

t = 18.96 seconds

Distance traveled by the cab

D =  vt

D = 2t²

D = 2(18.96²)

D = 718.96 m

Thus, the time taken by the cab to meet the bus is 18.96 seconds. The distance the cab has travelled to catch-up with the bus is 718.96 m.

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A sample of an ideal gas is heated, and its kelvin temperature doubles. What happens to the average speed of the molecules in the sample?

Answers

A sample of an ideal gas is heated, and its kelvin temperature doubles. The average speed of the molecules in the sample will increases by a factor of  [tex]\sqrt{2}[/tex]

The root-mean square (RMS) velocity is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values. The RMS velocity is that of a wave through sub-surface layers of different interval velocities along a specific ray path.

Root mean square speed is a statistical measurement of speed.

The root mean square speed can be calculated as : V1 : [tex]\sqrt{3 R T / Mo}[/tex]

if  temperature becomes double

let T1 is initial temperature

So ,  T2 = 2 * T1

now ,

Root mean square speed will be (V2) =  [tex]\sqrt{(3 R (2T)) / Mo}[/tex]

                                                     = [tex]\sqrt{2}[/tex] * [tex]\sqrt{3 R T / Mo}[/tex]

                                                     = [tex]\sqrt{2}[/tex] V1

Thus when temperature becomes double, the root mean square speed increases by a factor of  [tex]\sqrt{2}[/tex]

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If a particle with a charge of 2 coulombs moves through a potential difference of 12 volts, its change in kinetic energy will a have magnitude of__________.

Answers

The work done per unit charge is 24 joule

what is work done?

Measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.

The potential difference across the two points is directly proportional to the work done per unit charge.

V=W/Q

where,

V=potential difference

W=work done

Q=charge

W=Q×V

given:

Q=2 coulomb

V=12 volt

W=2×12

W=24 joule

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Which method of measurement would be accurate but lack precision?
A. Measuring a volume of water by estimating the size of the
container
B. Measuring a volume of water using a graduated cylinder that can
be read to nearest mL
C. Measuring air temperature with a thermometer that has just been
taken out of hot water
D. Measuring air temperature with a thermometer that can be read to
the nearest degree and is calibrated to the correct temperature

Answers

Answer:

B

Explanation:

reading the volume of water in a graduated cylinder which can be read to the nearest mL is accurate, it lacks precision due to the bottom meniscus formed.

the bottom meniscus may cause a wrong reading due to refraction of light

A small fan in a closed insulated room releases heat at the rate of 42 watts and pushes the air at the rate of 9 m/s with a mass flow rates of 1.2 kg/s. The room has a heater that produces heat at the rate of 0.30 kJ/s as well as a computer that produces 65 watts. Light bulbs in the room produce up to 125 watts. The room loses 0.32 kJ/s. Calculate the amount of heat maintained in the room.

Answers

The refrigerator is removing 300 watts of heat every hour.

Energy can only be changed in form; it cannot be created or destroyed, according to the basic law of thermodynamics. For any system, energy transfer examples include mass crossing the control boundary, external work, or heat transfer across the barrier. These have an impact on the energy reserves of the control volume.

The rate of heat removal from within the refrigerator may be calculated using the formula below thanks to the First Law of Thermodynamics and the definition of a refrigeration cycle.

Rate of heat transfer to the space, measured in watts.

Q=800 W W=500

The refrigerator removes heat at a rate of (800-500) 300 watts per hour.

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If a closed loop lies partially inside and partially outside a region of changing magnetic field, which is true about calculating the induced electric field along the path?

Answers

If a closed loop lies partially inside and partially outside a region of changing magnetic field, to calculate the induced electric field along the path we use only the area within the flux change to calculate the electric field.

Induced Electric Fields:

The electrostatic field is conservative and does no net work over a closed path, whereas the induced electric field is nonconservative and does net work in transferring a charge over a closed channel. As a result, whereas the induced field cannot be connected with electric potential, the electrostatic field can.

Faraday's law can be written in terms of the induced electric field as. ∮→E⋅d→l=−dΦmdt. The electrostatic field created by a fixed charge distribution and the electric field caused by a changing magnetic field is very different from one another.

An electric field is created by a fluctuating magnetic flux. The induced emf from Faraday's law is related to the fluctuating magnetic flux and the induced electric field.

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Two point charges are brought closer together, increasing the force between them by a factor of 20. By what factor was their separation changed?

Answers

The separation between them is [tex]\frac{r}{\sqrt{20} }[/tex]

Concept :

If the force increases, distance between charges must decrease. Force is indirectly proportional to the distance squared.

Given,

Two point charges are brought closer together, increasing the force between them by a factor of 20.

Original force is

F = [tex]\frac{kq_{1} q_{2} }{r^{2} }[/tex] -------- ( 1 )

Here, [tex]q_{1} , q_{2}[/tex] are charges and r is the distance between them

New force F' = [tex]\frac{kq_{1q_{2} } }{r'^{2} }[/tex] ----------- (2 )

Divide ( 1 ) and ( 2 )

[tex]\frac{F'}{F}[/tex] = [tex]\frac{\frac{kq_{1}q_{2} }{r'^{2} } }{\frac{kq_{1}_{2} }{r^{2} } }[/tex]

20 = [tex]\frac{r^{2} }{r'^{2} }[/tex]

r' = [tex]\frac{r}{\sqrt{20} }[/tex]

Given that force between them are increasing and therefore distance between them decrease by [tex]\frac{r}{\sqrt{20} }[/tex]

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