A certain first order reaction between two gases
occurs at 389 K with a half-life of 24 hours. How
much time is required to drop the pressure of one of
the gases from 2.0 atm to 0.25 atm at 389 K?
A) 8 hours B) 72 hours
C) 192 hours D) 288 hours

The electron density of C- H bonds is more closer together than they are in staggered form hence, eclipsed structures are higher in energy than staggered.

When two C-H bonds are brought into a dihedral angle of zero degrees, their electron clouds experience repulsion, which raises the energy of the molecule.

Eclipsed conformations are higher in energy than staggered due to bond straining.

What is bond strain?

The speeding up of a chemical process by a protein's active site is known as enzyme catalysis. The mechanism of enzyme catalysis is, in theory, comparable to that of other forms of chemical catalysis. By offering a different reaction pathway, the enzyme lowers the energy needed to reach the reaction's highest energy transition state. The quantity of reactant molecules that reach a level of energy adequate for them to attain the activation energy and produce the product increases when the activation energy is reduced. Compared to uncatalyzed chemistry under the same circumstances, enzymes catalyse chemical reactions at amazing rates. A least of three steps, and sometimes more, are needed for each catalytic event, and they are all completed within the brief milliseconds that are common for enzymatic reactions.

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A week after full moon, the moon's phase is third quarter.

In its spherical form, the moon completes one orbit of the Earth every 29.5 days. It's being lit up by the sun from all sides as it rotates. When the moon is in its "new moon" position between the Earth and the Sun, the side of the moon that is facing us is completely in the dark, and is only dimly illuminated by sunlight reflected from the Earth. The side of the Moon that we can see from Earth grows increasingly bright as it orbits the planet. The "third quarter phase" of the moon occurs exactly one week (or 21 days) after the "new moon" phase begins or seven days after full moon. The sun's light is now shining on the opposite half of the moon's visible face.

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The height h of mercury in the right side of the U-tube is 4.37 cm.

The Bernoulli's principle of fluid dynamic states that as a fluid's static pressure or potential energy falls, so too does its speed.

Given,

Rate if volume flow Q = 1200 cm³/s

The broader end diameter D1 = 2.0 cm

The narrower end diameter D2 = 0.4 cm

By using bernoulli's theorem,

1/2pv1² + P1 = 1/2pv2² + P2

P1 - P2 = 1/2pv1² - 1/2pv2²

By using continuity equation,

Q = π(D1²/2)²v1 = π(D2²/2)²v2 = 1200 cm³/s

v2 = 4 × 1200 cm³/s / π × (0.4)² = 9550 cm/s = 95.5 m/s

v1 = 4 × 1200 cm³/s / π × (2)² = 382 cm/s = 3.82 m/s

P1 - P2 = 1/2 p(v2² - v1²)

P1 - P2 = 1/2 × 1.28 kg/m³ × ( (95.5m/s)² - (3.82m/s)² )

P1 - P2 = 5827.6 N/m²

then,

pgh = 5827.6 N/m²

h = 5827.6 N/m² / pg

h = 5827.6 N/m² / 13600 kg/m³ × 9.8 m/s² = 0.0437 m

h = 4.37 cm.

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Q. Air flows through the tube shown in figure below at a rate of 1200 cm³/s. Assume that air is an ideal fluid. What is the height h of mercury in the right side of the U-tube?

4 Times. If the sun were moved 2 times further away, it would be 4 times fainter.

The relationship between fainting and the distance from the sun can be given as:

[tex]1/d^2[/tex], where [tex]d[/tex] is the distance from the sun.

This is called the Inverse Square Law.

According to the inverse square law, a phenomenon's intensity falls in proportion to the square of the distance as it gets further away from its source. Understanding the behavior of light and sound to develop systems that use or interact with these phenomena all depend on this idea, which is crucial in many fields of physics and engineering.

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The average power required by a 1000 kg speedboat to go from rest to 20.0 m/s in 5.00 s is 60000 Watts.

The average power required to accelerate an object is equal to the force required to overcome resistance multiplied by the velocity gained. In this case, the drag force fd opposes the acceleration of the speedboat, and so the net force on the boat is equal to the difference between the force applied to the boat and the drag force:

Fnet = Fapplied - fd = ma - fd

where m is the mass of the boat (1000 kg) and a is the acceleration. The acceleration can be calculated from the velocity gained and the time taken:

a = (vf - vi) / t = (20 m/s - 0 m/s) / 5.00 s = 4 m/s^2

So, the net force is:

Fnet = ma - fd = 1000 kg * 4 m/s^2 - 500 N = 3000 N

The power required to overcome the drag force and accelerate the speedboat is equal to the net force multiplied by the velocity gained:

P = Fnet * v = 3000 N * 20 m/s = 60000 Watts

Therefore, the average power required is 60000 Watts.

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The conductivity of the substance containing free electrons is calculated to be 7.59 × 10⁹ siemens/m or mho.

Number of free electrons is given as 9 × 10³⁰

Collision time is given as 3 × 10⁻¹⁴ s

Mass of electron is known to be = 9.1 × 10⁻³¹ kg

Charge on electron = 1.6 × 10⁻¹⁹ C

Conductivity of the substance is given by the formula,

σ = (n e² τ)/m

where,

σ is conductivity

n is number of electrons

m is mass of electron

e is charge of electron

τ is time

Putting in the values in the above equation, we have,

σ = [(9 × 10³⁰)(1.6 × 10⁻¹⁹)² (3 × 10⁻¹⁴)]/(9.1 × 10⁻³¹) = (69.12× 10⁻²²)/(9.1 × 10⁻³¹) = 7.59 × 10⁹ siemens/m.

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The same as the voltage across the 20-watt light, which is 30 volts.

When two or more electrical components are connected in parallel, they are connected to the same voltage source and share the same potential difference. In this case, the 10-watt cabin entry light and the 20-watt dome light are connected in parallel to a 30-volt source.

Since they are connected to the same voltage source, the voltage across both components will be the same, which is 30 volts. This is because the potential difference across each component is determined by the voltage of the source, and not by the power or current that the component requires.

The power and current of each component will be determined by the component's resistance and the voltage across it. However, since the voltage across both components is the same, their power and current will be determined by their own individual resistances.

So even though the dome light requires more power than the cabin entry light, they will both receive the same voltage and the same potential difference.

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The answer to the multiple questions asked on friction, Humidity,  triboelectric effect and static electricity is given below.

14. A-tape (or B-tape) is attracted to a neutral object because the tape acquires a static charge through friction, and like charges repel each other while opposite charges attract. When the charged tape comes near a neutral object, the neutral object acquires an electric charge of the opposite sign, causing an attraction between the charged tape and the neutral object.

15. Humid air makes it difficult to perform experiments with static electricity because the humidity in the air provides a path for the static charge to flow to the ground, thus reducing the charge on the object. This is because water is a good conductor of electricity, allowing the static charge to dissipate more quickly than in dry air.

16. When you rub your fingers on the non-sticky side of A-tape, you transfer some electrons from your fingers to the tape, effectively neutralizing its charge. The triboelectric effect, which is the transfer of electrons from one material to another through friction, can result in a buildup of static charge on the tape. By rubbing your fingers on the tape, you equalize the distribution of electrons between the tape and your fingers, neutralizing the charge on the tape.

17. Clothes taken out of the dryer tend to have a lot of static electricity because of the triboelectric effect. As the clothes rub against each other and the dryer drum during the tumbling and spinning action, they transfer electrons, resulting in a buildup of static charge. Dryer sheets work to eliminate this static charge by releasing positively charged ions into the dryer that neutralize the static charge on the clothes. The positively charged ions are attracted to the negatively charged clothes, effectively reducing the static charge and making the clothes less likely to cling to each other.

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The system's acceleration is determined by the difference in torque and mass applied.

What is the acceleration of the hanging mass?

Acceleration = m/s²

T= Newtons compared to the weight W = Newtons for the hanging mass. The acceleration is zero if the weight of the hanging mass is less than the frictional resistance force acting on the mass on the table.

Because the weight of the hanging mass must move three times the mass, the acceleration is reduced to one-third of its original value. When the table mass is increased to 99 times the hanging mass, the acceleration becomes a = (1/100)g.

Newton's second law of motion states that an object's acceleration equals the net force acting on it divided by its mass, or a = F m.

When the mass of an object and the net force acting on it are known, this acceleration equation can be used to calculate its acceleration.

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We only need to multiply 5V by the amount of current the device is drawing from the port because power is equal to current times voltage.

Although the USB port is only designed to handle electricity up to 5 A, certain manufacturers may offer a higher maximum current.

The potential difference in charge between two sites in an electrical field is quantified as voltage, also known as electromotive force.

The amount of charge carriers that pass a fixed point in a unit of time via a conducting or semiconducting medium for a certain flow resistance increases with voltage, i.e., the number of charge carriers that pass a fixed point in a unit of time.

Therefore, We only need to multiply 5V by the amount of current the device is drawing from the port because power is equal to current times voltage.

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The average speed of the car is 50 km/h and in miles per hour it is 31.0686 miles.

Average speed can be defined as the total distance travelled by an object in a particular time period. This is a scalar quantity. The SI unit of average speed is meter per second.

A. Distance travelled in half an hour = 25km

Therefore, the distance covered in an hour = 25 × 2 = 50km

The speed of the car will be 50km/hr

B. The in average speed miler per hour will be:

1km = 0.621371miles

50km = 31.0686 miles

The speed will be 31068 miles per hour.

C. Speed of cheetah = 25m/s

If, the time is 5 seconds then the distance covered by the cheetah with this speed will be:

Speed = Distance/ Time
25 = D/ 5

Distance = 25 × 5

Distance = 125 meters

D. Distance travelled in 1 minute = 60 seconds will be:

Speed = Distance/ Time

25 = D/ 60

Distance = 25 × 60

Distance = 1500 meters

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The rate at which a crane can do work  is 41.32 watt.

Power can be defined as the amount of work completed in a given amount of time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power.

Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.

Mass of the crate = 5 kg.

Vertical displacement of it = 78 m.

Time taken = 92.50 second.

Hence, power of the crane = ( 5 kg × 9.8 m/s² × 78 m) ÷ 92.50 second

= 41.32 Watt.

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The closest degree in which B is pointed when the vectors are added is calculated to be 221 degrees.

We have to find the vector B. We will substructure equations,

⇒ -9 i - 8 i -(5i + 4j) = -9 i - 8 i - 5i - 4i = -14i - 12 j = 2(-7 i - 6 j)

You can obtain the value of vector B from here. That translates to -7 i and -6 j. Now, it is clear that both apply. Given the warning indicators, a third chord event should be expected.

Additionally, the third quarter went in their favour, or, as we might say with Angelo factor B, A D, plus theatre. Therefore, we get one or d. plus 41 degree when -6 divided by -7 and I. D. Plus are both present. 221 degrees is that.

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32.8N/m is the spring constant of the spring.

How does simple harmonic motion work?

Simple harmonic motion is described as the periodic motion of a point along a straight line with an acceleration that is always toward a fixed point in that line and a distance from that point that is proportional to that acceleration.

When the restoring force is inversely proportional to the displacement, the oscillations are the simplest. Recall that the equation F = kx from Hooke's law represents this circumstance. Thus, simple harmonic motion, the most basic type of oscillation, is described by and subject to Hooke's law.

We know that:

T=2π√m/k

k=4π^2×m/T^2

m = 0.42kg

T = 0.71s

k= 4*3.14*3.14*0.42/ 0.71*0.71

k = 32.8N/m

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The electric force between the droplets, and the horizontal acceleration this force produce on the droplets are: 5.84*10^-7 N and 0.32 m/s² respectively

In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.

To solve this exercise the electric force formulas and the procedures we will use are:

Where:

Given Info:

Applying the electric force formula we have:

F = (k * q1 * q2)/r²

F = [(9 *10^9 N*m²/C² * (2.9*10^-11 C) * (2.9*10^-11 C)]/ (3.6*10^-3 m)²

F = 7.569*10^-12 N*m² /1.296*10^-5 m²

F = 5.84*10^-7 N

Applying the force formula and clearing the acceleration, we get:

a= F/m

a= 5.84*10^-7 N/ 1.8*10^-6 kg

a= 0.32 m/s²

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Answer:

A1 = π R^2        original area

A2 = π (R + ΔR)^2        area of hole increased in radius by ΔR

A2 - A1 = π (2 R ΔR + ΔR^2) change in area due to heating

Δ A = π 2 R ΔR           ΔR^2 is small and will be omitted

ΔR = R c ΔT        where ΔT is the temperature change

Thus the coefficient of area expansion is twice that of the coefficient of linear expansion

The particular microwave oven is 20 cm wide as there are cold spots at each edge of the oven and at three spots in between.

A wave is a dynamic disturbance of one or more quantities that propagates in physics, mathematics, and related sciences.

Wavelength of the microwave is 12 cm .

There are cold spots at each edge of the oven and at three spots in between.

So, there have five  cold spots inside the oven.

In a wavelength, there should be be three  cold spots.

The wide of the  particular microwave oven = (5 × 12/3) cm = 20 cm.

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The acceleration due to gravity on that planet is 6.13 m/s², if the height of drop of wrench is 1.52 m and time is 0.705 seconds.

Initial velocity of the wrench, u = 0   [initially at rest]

Height travelled by the wrench, h = 1.52 m

Time taken to travel through 1.52 m height, t = 0.705 sec

Let the acceleration due to gravity at that planet is g.

By the second equation of motion,

h = ut + 0.5gt²

1.52 = 0 × t + 0.5 × g × 0.705²

1.52 = 0.248g

g = 1.52/0.248

g = 6.13 m/s²

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The orbital speed of the satellite would be 1.4v₀. The result is obtained by using the ratio of the orbital speeds in two situations.

The orbital speed of satellite orbiting the Earth can be expressed as

v = √(GM/r)

Where

A satellite is orbiting around the Earth.

The radius of the Earth, R = 6400 m.

Let's determine the distance of the two situations.

Situation 1

r₁ = h₁ + R

r₁ = 400 km + 6400 m

r₁ = 400000 m + 6400 m

r₁ = m

Situation 2

r₂ = h₂ + R

r₂ = 800 km + 6400 m

r₂ = 800000 m + 6400 m

r₂ = 806400 m

Make a ratio using the formula above. We will get the orbital speed in the situation 2.

[tex]\frac{v_{1}}{v_{2}} = \frac{\sqrt{GM/r_{1}} }{\sqrt{GM/r_{2}} }[/tex]

[tex]\frac{v_{1}}{v_{2}} = \sqrt{\frac{r_{2}}{r_{1}}}[/tex]

[tex]\frac{v_{0}}{v_{2}} = \sqrt{\frac{806400}{406400}}[/tex]

[tex]\frac{v_{0}}{v_{2}} = \sqrt{1.98425}[/tex]

[tex]\frac{v_{0}}{v_{2}} = 1.40863[/tex]

v₂ = 1.40863v₀

v₂ ≈ 1.4v₀

Hence, the satellite would have an orbital speed of 1.4v₀.

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The peak current in a 5.6 k resistor connected to a 120 v rms ac source   Is 0.03 Amp.

The peak current is the maximum amount of current which output is capable of sourcing for brief periods of time. When a power supply or an electrical device is first turned on, high initial current flows into the load, starting at zero and rising until it reaches a peak value, known as the peak current.

Vrms = 120v , R = 5600 ohm

Peak current = Ip

                      = peak voltage /resistance = Vp/R

Also Vp = Vrma × √2

=) Ip = Vrms ×√2 /R

       = 120√2/5600 = 0.0303 A

=) Ip = 0.03A

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The adduction of the vocal folds, which approximates the vocal folds to shrink or shut the glottis, is the first step in the phonation process. Lung contraction starts airflow and creates pressure accumulation underneath the glottis.

The cricothyroid angle, which controls the angle between the thyroid and cricoid cartilages, and medial movement of the arytenoids during expiration are both used to phonate. The vocal folds vibrate as a result of these motions, which cause slight variations in the tension of the vocal folds during air flow.

An airstream is converted into audible sounds by the larynx. The perceived voice quality is especially dependent on this procedure, which is known as phonation.

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If the temperature rises to 28°c, the submerged volume fraction of the cube will increase by 0.2%.

Due to a temperature increase is defined by the following expression:

at 20∘c and then its temperature is increased by 100∘c

When the iron cube if partly immersed in mercury, the buoyant force that is acting on it will be

FB=ρVg where V is the volume of the iron cube immersed in the liquid.

Since we have a constant mass of the iron cube, from the relation of density with mass and volume for the iron cube

ρi=miVi

since the density of the iron block will decrease, to produce the same amount of buoyant force (FB=ρVg), the volume of the iron block immersed in the liquid will have to increase for the cube to not sink in the mercury.

Part (a)

If the temperature rises to 28°c, then the cube will float lower since the submerged fraction is higher (0.580), and before it was 0.578.

Part (b)

If the temperature rises to 28°c, the submerged volume fraction of the cube will increase by 0.2%. In effect, when the temperature was 0°c the submerged fraction was 57.8%, then the temperature increases to 28°c and the submerged fraction is now 58.0%.

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Answer:

balence

Explanation:

A balance scale would be the most accurate tool for a parent to use when trying to compare the masses of their kids' backpacks.

The best tool for comparing the masses of the backpacks would be a balance scale. A balance scale allows for precise comparison of items' weight or mass. In order to use the tool, the parent would first place one backpack on one side of the balance scale and the second backpack on the other side. The balance scale will tip towards the side of the heavier backpack, allowing the parent to determine which one has a larger mass. For a more quantitative measurement, weights can be added to the lighter side until the scale balances again. The total mass of the weights then corresponds to the mass of the heavier backpack.

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Over 118 elements have been identified and placed on the periodic table, including unstable elements made artificially in accelerators. Since 1993, a number of new elements have been discovered or synthesized in the laboratory, but the exact number may have changed.

There are more than 118 components in the occasional table, including some that were made falsely in labs. This number has expanded since the time the DOE handbook was written in 1993. The disclosure of new components is a continuous interaction, and researchers are continually attempting to find and recognize new components. Nonetheless, it's difficult to give a precise number of the number of new components that have been found starting around 1993, as the field of science is continuously developing and new disclosures are being made. In this way, any reasonable person would agree that the occasional table has extended starting around 1993, and more components might be included what's in store.

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A region has a uniform electric field of 200,000 N/C directed to the Southwest. The electric force on this electron would point southwest (opposite to the direction of the electric field.)

Imagine yourself in an electric field. This field would exert an electric force on a positive point charge placed there. By definition, the field's direction at that location corresponds to the force that it applies to the positive point charge there in terms of electric field.

It should be obvious that the electric field in this area in this query points northeast. A positive point charge would therefore experience an electric force in the same direction—to the northeast—if it were placed in this area.

Negative charge characterizes electrons. An electron would experience electric force in the opposite direction from a positive point charge positioned in the same location. The positive point charge in this area has an electric force that points northeast (same as the direction of the electric field). Southwest is the polar opposite of northeast. Therefore, the direction of the electric field acting on an electron in this location would be southwest

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Answer:

208333 J (approx)

Explanation:

Work required to stop = Kinetic energy of car

So,

Kinetic Energy = 1/2 * m * v^2

Convert 60 kmh-1 to ms-1

= 1/2 * 1500 * (50/3)^2

= 208333.33 J

The roots of given equations can be solved by calculus and the intersection of the 3 equations are at the origin i.e (0,0)

The roots of x=tan(x) :

The solution is the x-value of the point of intersection.

x = 69.05396782n, 4.49340945+69.05396782n,7.72525183+69.05396782n,14.06619391+

69.05396782n,20.37130295+69.05396782n,26.66605425 +69.05396782n,42.38791356 +69.05396782n

, for any integer n

Graph the line using the slope and y-intercept, or two points.

Slope:

1

y-intercept: (0,0)

x          y

0         0

1           1

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Vertical Asymptotes: x = pi/2 + pi.n ,for any integer n

Amplitude: None

Period: π

Therefore, the intersection is origin here.

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The solution for 2 periods are x ( t) = 1 cos 2t + √5₂ Sin 2t

x ( t ) = cos 2 t + ( .1 ) 8 sin 2 t. and we can plot a graph using them

Given mx + kx = 0

x + k/m x = 0

Wn = √K/m = 2

(Dᵃ + k/m) = 0

0 =  ± i (2)

x (t) = c1 cos √k/m t + c2 sin √k/m t

x (1) = c1 cos 2t + c2 sin2t

x(0) = 1 mm

x (0) = c1 = 1 mm

x ( t ) = -2 c2 sin2t +2 c2 cos 2t

x ( 0 ) = v0 =√ 5 = 0 + 2c2

c2 = (√5₂

x ( t) = 1 cos 2t + √5₂ Sin 2t

x ( t ) = cos 2 t + ( .1 ) 8 sin 2 t

using the above two equations we can plot a graph for the two periods.

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The spectral type of a star is the characteristic that most directly influences its color.

A star's spectral type determines its color uniquely. A star's color is intimately correlated with its spectral class. also The hue of light emitted by a star depends on its surface temperature. Yellow stars are hotter than red stars, and yellow stars are hotter yet than blue stars. A red dwarf is the most common type of star. Spectral classes are divided into seven categories. These seven spectral classes are denoted by the letters O, B, A, F, G, K, and M, ranging from hottest to coolest. Recently, three other classes—L, T, and Y—have been introduced by astronomers for even cooler objects.

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The current density that produces the vector potential ˆ in cylindrical coordinates is proportional to ^=μ 02kϕ^.

The current density, J, that produces the vector potential, A, in cylindrical coordinates can be found using the curl of the magnetic vector potential, . To calculate the curl, we first find the derivative of A with respect to each cylindrical coordinate. Using the fact that A is proportional to ˆ, we can write A = (ˆ) and take the derivative with respect to to get .

Next, we use the formula for the curl in cylindrical coordinates, . Plugging in our values, we get .

Since J is related to A through the equation , we have .

Therefore, the current density that produces the vector potential ˆ in cylindrical coordinates is proportional to ˆ.

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The complete question is

What current density would produce the vector potential, A=k ϕ^​ (where k is a constant), in cylindrical coordinates?