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A capacitor is connected to an ac supply. increasing the frequency of the supply increases the current through the capacitor

A capacitor is a device for storing electrical energy that consists of two insulated conductors in close proximity. The parallel-plate capacitor is a simple example of such a storage device.

A capacitor (also known as a condenser) is a two-terminal passive electrical component that stores energy electrostatically in an electric field. Practical capacitors come in a variety of shapes and sizes, but they all have at least two electrical conductors (plates) separated by a dielectric (i.e., insulator).

Capacitors exist in various shapes and sizes, and their value is measured in farads (F). Capacitors are utilized in both alternating current and direct current systems.

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Compared with the coma, or the visible fuzzy ball, of a comet 10^6 km in diameter, the diameter of the nucleus of the comet is very small about 10km.

A comet's coma is the nebulous envelope that surrounds its core and is created when the comet approaches the Sun on its extremely elliptical orbit; when the comet warms, some of its material sublimates. A comet's nucleus is the region in its centre.

The coma, a diffuse, brilliant zone that may have a million kilometres in diameter, surrounds the nucleus, which has a diameter of only a few kilometres. Typically, the diameter of this ice and dust cloud is less than 10 miles (16 kilometres), or roughly the size of a small town.

Therefore, Compared with the coma, or the visible fuzzy ball, of a comet 10^6 km in diameter, the diameter of the nucleus of the comet is very small about 10km.

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A Final statement or concluding statement

No because this method of dating requires a material that was once living. So, this technique wouldn’t have worked.

Carbon 14 gradually decays into other elements. However, when a plant or animal dies, it no longer has the ability to accumulate new carbon 14, and the supply in the organism at the time of death is gradually depleted.

Scientists can calculate the time elapsed since something died from its residual carbon 14 because the rate of depletion has been accurately determined (half of any given amount of carbon 14 decays in 5,730 years).

However, scientists have long recognized that carbon dating is subject to error due to a variety of factors, including contamination from outside carbon sources. As a result, they sought methods to calibrate and correct the carbon dating method.

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The red paint will appear no colour when it is illuminated with pure blue light.

Thus, we can conclude that the red coloured object appears colourless as it is illustrated by pure blue light.

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What is the distance to the nearest antinode from the fixed end of a guitar string vibrating at its first harmonic? /4

The wave at every given instant resembles a graph of a sine wave because the antinodes alternate in the wave's displacement direction. The nodes on a guitar string are the locations where harmonics can be produced the greatest, especially at the 12th fret. The sound is muffled by touching the antinodes.

Halfway between the string's anchor points and the node, or between 1/4 and 3/4 of the string's overall length, are the most audible and vibrating points of these harmonics (called antodes).

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When transporting cylinders contain used refrigerant?

What must be done before shipping any used refrigerant in a cylinder?

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The symbols that completes the given nuclear equation are written as follows:

An alpha decay can be defined as a type of radioactive decay in which the atomic nucleus of a radioactive element emits an alpha particle, thereby, producing chemical elements with a different atomic nucleus.

During an alpha decay, the radioactive element has a mass number that is decreased by four (4) and an atomic number that is decreased by two (2), which is typically an atom of Helium (⁴He₂).

A beta particle can be defined as an isotope which typically undergoes radioactive decay through the emission of a radiation with a -1 charge. This ultimately implies that, an atom of neutron becomes a proton and an electron (₀e⁻¹) and an atom of proton also becomes a neutron and a positron (⁰⁻e₁⁺) during beta decay.

In conclusion, the symbols that completes the given nuclear equation are written as follows:

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The average emf induced is "ωBA volts".if we know the value of ω, B & A we can easily calculate the value. Faraday's law of induction determines the typical emf produced by spinning a coil's turn in the earth's magnetic field.

Discussion:

According to this equation, the magnetic flux through a closed loop changes at a time rate equal to the negative of the induced emf in the loop.

Calculation:

This flux value is constant and no electromagnetic field (EMF) is produced when the loop is positioned in the earth's magnetic field without moving. When the magnetic field starts rotating, the area and magnetic field strength stay constant, but the angle between the plane of the area's normal and the field lines continues to alter or fluctuate. Due to the magnetic flux's relationship to angle and the time dt at which an average emf is produced in the coil, this results in a change in the net magnetic field across the loop.

The flux φ = BAcosθ

E = - dφ/dt = - d(BAcosθ)/dt

As "B" & "A", both are constant

so, E= - BAd(cosθ)/dt

where, θ = the function of time

θ = ωt

where, ω = angular frequency (rad/sec)

E = -BAd(Cosωt)/dt

E = - (-ω)BA Sinωt = ωBA Sinωt

E = ωBASinωt

E = -d(BACosθ)/dt

The plane is now parallel to the field, and the normal is now perpendicular to the field.

θ=90°

Therefore, E= ωBASin90° = ωBA(1) = ωBA

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The given condition for a 100% efficient  step down transformer is not true.

Because there are fewer turns in the secondary winding of a step-down transformer, the secondary voltage is lower than the initial voltage. As a result, this kind of transformer is employed to reduce the voltage to the levels intended for the circuit. Almost all power supply incorporate a step-down transformer to keep the operating voltage range of the circuit within acceptable limits. Electronic transformers and distribution systems are often where these transformers are installed (power transformers).

Using the system voltage and current, we can calculate the power of a transformer. Volt-Amps, or VA, is the unit used to measure the power in a transformer (for larger transformers Kilo Volt-Amps, kVA).

Any transformer should, in theory, have constant power on both sides, which implies that the power available on the secondary side of the transformer should match the power available on the primary side. This also applies to step-down transformers. A step-down transformer's secondary side has a lower voltage than its primary side, hence in order to balance the transformer's total power, the secondary current would need to be increased.

In a step-down transformer, the output current is greater than the input current while the output voltage is lower than the primary voltage.

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A string with mass density equal to 0. 0025 kg/m is fixed at both ends and at a tension of 290 n. Resonant frequencies are found at 558 Hz and the next one at 744 Hz. The length of the wire will be L = 0.91 m

A resonant frequency of a string is its natural frequency of a standing wave that is produced in it. The standing waves in the string are called harmonics. A string of a fixed length can have many standing waves. The frequencies of these standing waves are called resonant frequencies.

frequency = 1 / 2L ([tex]\sqrt{\frac{T}{mu} }[/tex])

L = length of the spring

T = Tension

fundamental frequency = 744 - 558 = 186  Hz

186 = 1/2(L) ([tex]\sqrt{\frac{290}{0. 0025 } }[/tex])

L = 340 / (186 * 2)

L = 0.91 m

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The central pitch around which a scale and its associated harmonies is built is called Tonic.

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Answer:

[tex]9.5\; {\rm m}[/tex].

Explanation:

Let [tex]u[/tex] and [tex]v[/tex] denote the velocity of this hockey player before and after stopping, respectively. The question states that [tex]u = 9.5\; {\rm m\cdot s^{-1}}[/tex] and implies that [tex]v = 0\; {\rm m\cdot s^{-1}[/tex] since the hockey player has come to a stop.

The duration of this acceleration is [tex]t = 2\; {\rm s}[/tex].  

Since the acceleration of this hockey player was constant, SUVAT equation would apply. In particular, the SUVAT equation [tex]x = (1/2)\, (v + u) \, (t)[/tex] gives the displacement [tex]x[/tex] of this hockey player during that [tex]2\; {\rm s}[/tex] of acceleration:

[tex]\begin{aligned} x &= \frac{1}{2}\, (9.5\; {\rm m\cdot s^{-1}} + 0\; {\rm m\cdot s^{-1}})\, (2\; {\rm s}) = 9.5\; {\rm m} \end{aligned}[/tex].

In other words, this hockey player would have travelled [tex]9.5\; {\rm m}[/tex] while stopping.

The average force exerted by the runner is 200N.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

When a force is exerted across a distance to an item, work is accomplished. This implies that the total energy of an object will be impacted when a force is applied to it over a distance.

Work = Force x Distance

Force = work / distance

Force = 2000 J / 10 m

Force = 200 N

Hence, the average force exerted by the runner was 200N.

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The water is heated as the current from the coil is transferred by means of the magnetic field to the pan. The pan then induces a current in the water, which heats due to resistance. That is option B.

Induction cooking is referred to the transfer of heat energy from one source to another through a magnetic field that helps in the movement of electrons.

Heat cannot be transferred to the water without changes of the magnetic field.

Other examples of how heat is being transferred to other body surfaces include the following:

Therefore, the diagram above displays the heat transfer from the copper coil carrying current to the water in the steel pan is by induction.

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The ball has travelled a total distance of 18 feet after dropping and rebounding.

After being dropped for the first time, the ball will rebound to a height of 3 feet as it returns to half its original height. The geometric series formed by the total distance travelled while falling and rebounding has a common ratio,

r = 0.5

6 ft + 3 ft = 9 ft will be the first term in the series

For the sum formula S = [tex]\frac{a}{1-r}[/tex],  

substitute a = 9 and r = 0.5 to get the ball's total distance travelled.

S = [tex]\frac{9}{1-0.5}[/tex]

S = [tex]} \frac{9}{0.5}[/tex]

S = 18

The ball has therefore travelled a total of 18 feet.

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Visible light are able to penetrate the atmosphere

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. This length is often defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm).

The electromagnetic spectrum is made up of a variety of electromagnetic radiations, including radio waves, microwaves, infrared light, visible light, ultraviolet light, X-rays, and gamma rays. Because the earth's atmosphere blocks off the majority of the electromagnetic spectrum's wavelengths, most electromagnetic energy from space cannot reach the planet's surface.

. A portion of the electromagnetic spectrum that humans can see with our eyes is the visible light or spectrum. The electromagnetic spectrum's band that can most easily reach Earth's surface is also this one.

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The first moment of the total cross-sectional area taken about the neutral axis must be zero.

A member that resists bending has a neutral axis in its cross-section along which there are no longitudinal stresses or strains. The neutral axis lies at the geometric centroid if the section is symmetric, isotropic, and does not curve before a bend. The neutral axis is not under any strain. Therefore, the neutral axis has no bending moment. Because the neutral axis is not affected by the applied stresses, there is no bending stress. At the neutral axis, no stress is created. The line in the cross-section of a beam where there is neither longitudinal compression nor tensile stress is known as the neutral axis for that beam. The neutral axis is typically regarded in the study of wood beams to be at the centroid of the beam.

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The first moment of the total cross sectional area taken about the neutral axis must be zero.

As with non-composite beams, the neutral axis (NA) is the location where the bending stress is zero. The location of the NA depends on the relative stiffness and size of each of the material sections.

Generally, the NA location is determined relative to the bottom surface of the beam. However, this is not mandatory, and the location can be relative to any location. If the bottom is used, then the NA axis is a distance "h"

The distance h can be determined by recalling that the stresses through the cross section must be in equilibrium.

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The distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.

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

Thus, we can conclude that, the distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.

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Learning Through Observation

Albert Bandura believed that associations and direct reinforcements simply could not account for all learning. "Learning would be exceedingly laborious, not to mention hazardous if people had to rely solely on the effects of their own actions to inform them what to do," he famously wrote in his 1977 book Social Learning Theory.

Instead, he proposed that much of learning takes place through observation. Children observe the actions of those around them, particularly caregivers and siblings, and then imitate these behaviors. In his well-known Bobo doll experiment, Bandura revealed just how easily children could be led to imitate even negative actions. Children who watched a video of an adult beating up a large inflatable doll were then much more likely to copy those same actions when given a chance.

Perhaps most importantly, Bandura noted that learning something does not necessarily result in a change in behavior. Children frequently learning new things through observation, but might not engage in such behaviors themselves until there is actually a need or motivation to utilize the information.

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Yes , the response of the light bulb depend on how fast you move the bar magnet

Flux is the presence of a force field in a specified physical medium, or the flow of energy through a surface

Lenz's law states that the induced electromotive force with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in order to ensure that the original flux is maintained through the loop when current flows in it.

Yes, waving a magnet around does create an electromagnetic wave which does affect the light bulb .

Due to motion of the bar, there will be a constant change in flux and due to  Lenz's Law a current within the coil will be induced . This induced current can be used to power the light bulb.

As we know that the greater the speed, the greater the magnitude of the current, and the current is zero when there is no motion.

There will be change in brightness as the bar moves with faster speed.

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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.

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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The self-inductance of a coil will change by 8 times its original value by increasing its radius value by 2 and increasing the length of the coil by 2.

Self-Inductance: -

The definition of self-inductance is the induction of a voltage in a wire that carries current when the current in the wire is changing. In the instance of self-inductance, the circuit itself induces a voltage through the magnetic field produced by a changing current.

We know that the self-inductance of the coil is denoted by: -

L= µ *π*(r)^2*(N)^2*l

Where

L= Self-Inductance of the coil

µ= Magnetic Permeability Constant

r= Radius of the coil

l= Length of the coil

N= Number of turns of the coil

Here Self-inductance of the coil is directly proportional to the length of the coil and the square of the radius of the coil.

So,

On increasing the radius of the coil by a factor of 2 and the length of the coil by 2 the self-inductance of the coil increases by 8 times its original value.

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Answer:

True

Explanation:

Driving safely at night requires seeing well not only under low light, but also requires drivers to see low-contrast objects.

Answer:

Since Alice has a greater density it will also have a greater mass

Density = mass / volume

The potential energy at the surface of Alice will be greater and a higher kinetic energy will be required to escape  the planet's gravitational pull.

PE = K M / R      potential at surface is greater because mass is greater

KE = 1/2 M v^2     greater velocity required to overcome PE

The force that the spring exerts is 1.31 N.

[tex]E_{stored} =\frac{1}{2} kx^{2}[/tex]

F = kx

Where,

x = displacement in the spring

k = spring force constant

Given,

k = 8.75 n/m

x = 0.150 m

Force exerted by the spring, F = kx

putting the values,

F = 8.75 x 0.150

= 1.3125 N

Hence, the force that the spring exerts is 1.31 N.

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A dc motor has armature failure when voltage is applied but the armature is not rotating.

To find the answer, we need to know more about the working of motor.

Thus, we can conclude that, a dc motor has armature failure when voltage is applied but the armature is not rotating.

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Answer:

[tex]1275 kg*m/s[/tex]

Explanation:

We'll use the momentum equation:

[tex]p=mv[/tex]

where:

p = momentum

m = mass

v = velocity

Since we're doing the magnitude of momentum of the system, we'll add the mass of the cyclist and the mountain bike together:

[tex]70.0 kg + 15.0kg=85.0 kg[/tex]

Given that, we can now substitute our given values into the momentum equation:

[tex]p=mv\\p=85.0kg*15.0m/s[/tex]

Our final answer is:

[tex]p= 1275 kg*m/s[/tex]

Copernicus rediscovered aristarchus’s model of a heliocentric solar system.

Aristarchus asserted that one may determine the distances between the Sun and Moon by measuring the angle between them when the Moon is half-illuminated (admittedly, the illumination itself suggested the angle). Aristarchus recognised that the Moon does not emit light of its own, but rather shines as a result of the Sun's light.

It's because Polish-born astronomer Copernicus was responsible. He initially introduced the heliocentric hypothesis in his book De revolutionibus orbium coelestium, "On the Revolutions of Celestial Bodies," which was released in.

Therefore, Copernicus rediscovered aristarchus’s model of a heliocentric solar system.

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Answer:

Copernicus

Explanation:

Your hand feels colder when it transitions from warm to "colder" (room temperature) water.

Your hand feels colder when you move it from the warm water to the "colder" (room temperature) water. Skin surface temperature will decrease in a constant ambient environment as a result of sympathetic nerve activity increasing and blood flow decreasing as a result of cutaneous receptors triggered by ice-water immersion of one hand in the palm skin of the non-immersed opposite hand.

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Answer:

The background radiation came from the heat of the universe, with a peak corresponding to the temperature of the universe.