An inductor is connected to an ac generator. part a as the generator's frequency is increased, what happens to the current in the inductor?

Answers

Answer 1

An inductor is connected to an ac generator. As the generator's frequency increases, the current in the inductor decreases.

Inductors and chokes are basically coils or loops of wire that are either wound around a hollow tube former (air cored) or wound around some ferromagnetic material (iron cored) to increase their inductive value called inductance.

Inductors store their energy in the form of a magnetic field that is created when a voltage is applied across the terminals of an inductor.

The growth of the current flowing through the inductor is not instant but is determined by the inductors own self-induced or back emf value. Then for an inductor coil, this back emf voltage VL is proportional to the rate of change of the current flowing through it.

This current will continue to rise until it reaches its maximum steady state condition which is around five time constants when this self-induced back emf has decayed to zero. At this point a steady state current is flowing through the coil, no more back emf is induced to oppose the current flow and therefore, the coil acts more like a short circuit allowing maximum current to flow through it.

However, in an alternating current circuit which contains an AC Inductance, the flow of current through an inductor behaves very differently to that of a steady state DC voltage. Now in an AC circuit, the opposition to the current flowing through the coils windings not only depends upon the inductance of the coil but also the frequency of the applied voltage waveform as it varies from its positive to negative values.

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Related Questions

If your engine is flooded with gasoline, you should push the accelerator to the floor and hold for:_______.

Answers

You should push the accelerator all the way to the floor and hold for five seconds if your engine is flooded with gasoline.

To find the answer, we need to know about the flooded engine.

What is flooded engine?An engine that is flooded is one that has too much fuel in the vehicle and insufficient airflow.The signs of a flooded engine include difficulty starting the engine, car engine failure after only a few feet, black smoke, and unusual engine noise. We can solve the issue in different ways.In the right manner, push the accelerator or gas pedal all the way to the ground. You must open the car's throttle and let the engine's air flow before depressing the gas pedal.

Thus, we can conclude that, You should push the accelerator all the way to the floor and hold for five seconds if your engine is flooded with gasoline.

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When the range of one or both of the variables is restricted, the correlation will be ______.

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When the range of one or both of the variables is restricted, the correlation will be decreased

Restriction of range is the term applied to the case in which observed sample data are not available across the entire range of interest.

Correlation is a statistical measure (expressed as a number) that describes the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable is the cause of the change in the values of the other variable.

Restricted ranges affect correlations. In fact, when the range is restricted, a peculiar phenomenon happens: the correlation coefficient goes down. The range restriction causes the standard deviation of the variable x to shrink which reduces the correlation of x to some variable y. Analogue, range restriction can also affect the coefficients in multiple regression

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When voltage is applied to a dc motor but
the armature is not turning, this condition is
called

Answers

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.

What is an armature and how it works?The armature's job is to continuously produce a magnetic field, which, along with the magnetic field generated by the stator windings, causes the rotor (or armature) to rotate.Due to the relative motion between the flux provided by the field winding and the flux produced by the armature winding, an EMF is created when the armature is utilized as an electric motor.This EMF will oppose the torque generated in the rotor and the current flowing through an armature. As a result, mechanical power is created from electrical power. A shaft is used to transmit the toque generated in the rotor to rotate other objects.The most common fault with armatures is worn commutators, caused by the friction of carbon brushes against the commutator surface. Over time the insulation between the commutator segments becomes proud as the copper of the commutator surface wears away.

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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You are looking straight into the front of an aquarium. you see a fish off to your right. is the fish actually in the direction you’re looking, farther to the right, or farther to the left? explain.

Answers

The you see a fish off to your right is actually farther to the left in the direction you’re looking due to refraction of light.

What is refraction of light?

Refraction of light is the bending of light rays as the cross the boundary between two media of different densities.

When light travels from a less dense to a denser medium, the ray of light is bent closer towards the normal. However, when the ray of light is travelling from a denser to a less dense medium, the ray of light is bent away from the normal.

Considering the situation in seeing a fish through an aquarium. Light rays from the water which is less dense than air travels to the eyes and is bent away from the normal. Therefore, the fish seen straight ahead is actually, farther to the left.

In conclusion, refraction of light causes the apparent change in the position of the fish.

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According to hubble's law, with = 70 km/s. What is the recessional velocity of a galaxy at a distance of 180 mpc?

Answers

The recessional velocity of a galaxy at a distance of 180 mpc will be 70 km/sec

Hubble's law, which says simply that a galaxy's velocity (or as is sometimes plotted, its redshift) is directly proportional to its distance, also tells us something important about the state of the universe. If the universe is static and unchanging, there should be no correlation between distance and velocity.

Recessional velocity is the rate at which an extragalactic astronomical object recedes (becomes more distant) from an observer as a result of the expansion of the universe. It can be measured by observing the wavelength shifts of spectral lines emitted by the object, known as the object's cosmological redshift.

Recessional velocity = Hubble's  constant *  distance

                                  = 70 km/sec/Mpc * 180 Mpc

                                  = 70 km/sec

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

Answers

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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What mechanisms function to localize sound in the horizontal and vertical planes?

Answers

What mechanisms function to localize sound in the horizontal and vertical planes?

Horizontal sound localization results from two mechanisms: interaural time delay and interaural intensity difference.

What is localizing sound?

The capacity to pinpoint the position or source of a detected sound in terms of distance and direction is known as sound localization.

Numerous studies have been conducted on the mammalian auditory system's sound localization mechanisms. The auditory system uses a variety of indicators, such as spectral information, timing difference, level difference (or intensity difference) between the ears, and others, to locate the source of sound. Other animals, including birds and reptiles, employ these cues as well, however there may be variances in how they are used. In addition, there are localization cues that are not present in the human auditory system, such as the results of ear movements. It is obvious that animals that can localize sound have an evolutionary advantage.

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How many minutes will it take to plate out 16. 22 g of al metal from a solution of al 3 using a current of 12. 9 amps in an electrolytic cell?

Answers

It will take  103 minutes  to plate out 16. 22 g of al metal from a solution of al 3 using a current of 12. 9 amps in an electrolytic cell

Electrolytic cell, any device in which electrical energy is converted to chemical energy, or vice versa. Such a cell typically consists of two metallic or electronic conductors (electrodes) held apart from each other and in contact with an electrolyte (q.v.), usually a dissolved or fused ionic compound

First, look at the reaction to decided how many moles of electrons it will take:

Al3+ + 3e ------> Al(s)

It takes 3 electrons to convert 1 mole of Al3+

Next, figure out how many moles of Al metal you want:

I mole of Al mass = 26 g

1 g of Al will have = 1/26 moles

16. 22 g of al metal will have = 16.22 / 26 moles 0.624 moles

since , their are 3 electrons

0.624 x 3= 1.87 moles of electrons

using Faraday constant to find the number of coulombs (C) needed:

1 faraday = 96500 C per mole

1.87 x 96500 = 180455

Since,  1 amp = 1 C/sec,, time needed to supply a current of 12.9 amp will be

80455C  / 12.9 C = 6236.82 sec = 103 minutes

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The bisecting-angle instrument (bai) uses _____ to determine the correct pid angulation.

Answers

The bisecting-angle instrument (bai) uses aiming rings to determine the correct pid angulation.

What is Bisecting-angle instrument?

This instrument is commonly used in dental medicine and radiography so as to achieve short cone technique x-rays.

It however employs the use of aiming rings for accuracy to determine the correct position-indicating device angulation thereby making it the most appropriate choice.

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A 5. 0-c charge is 10 m from a small test charge. what is the magnitude of the force experienced by a 1. 0 nc charge placed at the location of the test charge?

Answers

The magnitude of the force experienced by a 1. 0 c charge placed at the location of the test charge is 4.5*10^8N.

To find the answer, we have to know more about the force experienced between two charges.

How to find the force experienced between two charges?It is given that,

                [tex]Q_1=5C\\Q_2=1C\\r=10m.[/tex]

We have to find the force experienced between two charges,

               [tex]F=\frac{kQ_1Q_2}{r^2}[/tex]

where, k=8.99*10^9.

Thus, by substitution, the force will be,

          [tex]F=\frac{8.99*10^9*5*1}{10^2} =4.5*10^8N[/tex]

Thus, we can conclude that, the magnitude of the force experienced by a 1. 0 c charge placed at the location of the test charge is 4.5*10^8N.

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A force of 12,000 n is exerted on a piston that has an area of 0. 020 m 2. What is the area of a second piston that exerts a force of 24,000 n?

Answers

The area of a second piston that exerts a force of 24,000 N is 0.04 [tex]m^{2}[/tex].

Gravitational force is measured in newtons. Utilizing the physics formula pressure = force/area, you can compute pressure if you know the value of a force. Both pounds per square inch (psi) and newtons per square meter (N/m2) are acceptable units of measurement for this pressure.

Given force 1 =  12,000 N

The pressure which has produced a force of 12,000 N at the piston 1 = Force/ area

= 12,000N / 0.020 [tex]m^{2}[/tex]

= 6,00,000 N/[tex]m^{2}[/tex]

Now force at piston 1 must be equal to force at piston 2. thus, force at piston 2 is given by:

Force at piston 2 = pressure × area

24,000 N = 6,00,000 × area

area = 0.04 [tex]m^{2}[/tex]

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Select the correct answer. which object has the least amount of kinetic energy? a. a car driving down a road b. a soccer ball rolling down a hill c. a bicycle locked to a bike rack d. a satellite orbiting earth

Answers

Answer:

c. a bicycle locked to a bike rack

Answer: Option (C). A bicycle locked to a bike rack.

A 24-kw electric furnace is connected to a 240-v line. what is the resistance of the furnace? group of answer choices

Answers

The resistance of the furnace is 2.4 ohm

Given,

P=24kW, V=240v,

P=[tex]\frac{V^{2} }{R}[/tex],  24kW=[tex]\frac{240^{2} }{R}[/tex], Therefore R=2.4 ohm

Resistance

A force that opposes the flow of current is electrical resistance, often known as resistance to electricity. It acts as a gauge for how challenging it is for current to flow in this fashion. Ohms (), which represent resistance values, are used. Electricity will move from high to low when an electron difference exists between two terminals. This flow is opposed by resistance. Lower currents occur at higher resistance levels. The opposite is also true: the current increases as the resistance decreases. The Greek letter omega (), which represents resistance, represents ohms. German physicist Georg Simon Ohm (1784–1854), who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm. Ohm's Law was developed under his direction.

A 24-kw electric furnace is connected to a 240-v line. what is the resistance of the furnace? group of answer choices

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A proton moves a distance 10 cm in a uniform electric field of 3.5 kN C, in the direction of the field.
Calculate the change in potential energy of the proton.

Answers

The change in potential energy of the proton is  5.6 x [tex]10^{-17}[/tex] Joule

What is a Uniform Electric Field ?

A uniform electric field is where the electric field strength is the same at all points in the field. In the uniform field, the force experienced by a charge is the same no matter where it is placed in the field.

Given that a proton moves a distance 10 cm in a uniform electric field of 3.5 kN C, in the direction of the field.

The distance d = 10 cm = 0.1 mElectric field E = 3.5 KN/CProton charge q = 1.6 x [tex]10^{-19}[/tex] C

The Work done = Fd

but F = Eq

Recall that Electric field E = F/q = V/d

Where V = potential difference.

Let us first calculate the V

E = V/d

V = Ed

Substitute all the parameters into the formula above

V = 3.5 × 10³ × 0.1

V = 350 v

from F/q = V/d

make F the subject of formula and substitute it in work formula

F = Vq/d

W.D = Vq/d x d

W.D = Vq

Substitute all the parameters into the formula above

W.D = 350 x 1.6 x [tex]10^{-19}[/tex]

W.D = 5.6 x [tex]10^{-17}[/tex] J

Work done = Energy = Potential Energy

Therefore, the change in potential energy of the proton is 5.6 x [tex]10^{-17}[/tex] Joule

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Separately derived system generators shall have the _______________ conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.

Answers

Separately derived system generators shall have the neutral conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.

What is an electric charge?

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.

Electric current is defined as the charge per unit of time.

The mathematical relation between current and the electric charge

I =Q/T

Generators are basically motors that operate in reverse—they produce electricity when rotated, instead of rotating when supplied with electricity

The conductors that come from generators must be sized, and overload protection is required. But compared to similar considerations for motors, these considerations are much simpler.

Thus, The neutral conductor on separately derived system generators must be no smaller than necessary to carry the maximum unbalanced current as specified by NEC Article 220.61.

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The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. What is the magnitude and direction of the electric field?

Answers

The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. The magnitude and direction of the electric field will be 400 V/m directed parallel to the +x-axis

Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.

The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.

The relation between electric field and electric potential can be generally expressed as – “Electric field is the negative space derivative of electric potential.”

Electric field = - d V / dx

-(-2000-400) = [tex]\int\ {E} \, dx[/tex]

2400 = E (8-2)

2400 V = E (6)

E = 400 V/m

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A circular loop of wire of radius 10 cm carries a current of 6. 0 a. what is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 t ∙ m/a)

Answers

The magnitude of the magnetic field at the center of the loop is [tex]3.77*10^{-5} T[/tex]

Given,

μ0 = 4π × [tex]10^{-7}[/tex] t ∙ m/a, I=6 A, R = 10cm =0.1m

magnetic field(B)=μ0*I/2R=[tex]\frac{4*3.14*10x^{-7}*6 }{2*0.1}[/tex]=[tex]3.77*10^{-5} T[/tex]

Magnetic field

When it comes to the magnetic influence on moving electric charges, electric currents, and magnetic materials, we use the vector field of a magnetic field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling in a magnetic field. Iron and other ferromagnetic elements are drawn to a permanent magnet's magnetic field, which also draws or repels other magnets. Furthermore, a magnetic field with varying localization will impose a force on a variety of non-magnetic materials by altering the velocity of their outer atomic electrons. Magnetic fields surround magnetised materials and are produced by electric currents, like those found in electromagnets, and by electric fields with changing time constants.

A circular loop of wire of radius 10 cm carries a current of 6. 0 a. what is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 t ∙ m/a)

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An rv is traveling 60 km/h along a highway at night. a boy sitting near the driver of the rv turns a flashlight on and shines it at another boy at the back end of the rv. what is the speed of the light relative to the boys? m/s what is the speed of light relative to a stationary observer on the side of the road? m/s

Answers

Speed of light relative to the boys = 300,000,000 m/s

Speed of light relative to a stationary observer on the side of the road =

300,000,000 m/sWhat is special theory of relativity?The theory of special relativity explains how speed affects space, time, and mass. Small amounts of mass (m) can be interchangeable with large amounts of energy (E), as defined by the classic equation E = mc2, according to the theory, which offers a means for the speed of light to define the link between energy and matter.

What are the special relativity's guiding principles?The laws of physics should be independent of the uniform motion of an inertial frame of reference, and the speed of light should be constant in any such frame, according to two fundamental tenets that constitute the basis of the special theory of relativity.

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Answer:

first answers are 25 & 35, second answers are both 300,000,000

Explanation:

The ________ explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.

Answers

The nebular hypothesis explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.

What is Nebular hypothesis?

The most widely accepted theory in cosmogony to explain how the solar system formed and evolved is the nebular hypothesis. It implies that gas and dust orbiting the sun are what created the solar system.

Following are the steps in nebular theory:

As part of the cloud of gas and dust condenses into a core and becomes a protostar, the nebula changes into a solar nebula. The material condensing might have been brought on by a nearby supernova shockwave. An accretion disk is formed as the protostar's surrounding material disintegrates.How did the solar system form, according to the nebular hypothesis?

The nebular hypothesis states that enormous clouds of hydrogen and helium imploded. The cloud's center heated up significantly after collapsing. The system then started to rotate as it became hotter and more compressed. The formation of the solar system started at this point.

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Very low temperature molecular clouds emit most of their light in which part of the electromagnetic spectrum?

Answers

The radio region of the electromagnetic spectrum is where molecular clouds with extremely low temperatures emit the majority of their light.

To find the answer, we need to know more about the molecular clouds.

What is molecular clouds?Only within molecular clouds can stars actually form. Because the internal forces operating "outward" to prevent a collapse must be greater than the gravitational force acting to collapse the cloud, this is a natural result of their high densities and low temperatures.At 10 K, molecular clouds are extremely cold. Clouds that are diffuse are usually 100 K. Depending on the abundances of heavy elements that provide the cooling radiation, HII areas have T 8000 K.

Thus, we can conclude that, the radio region of the electromagnetic spectrum is where molecular clouds with extremely low temperatures emit the majority of their light.

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5
A car starting from rest travels 36m in 6s. Find the car's acceleration and its
velocity at this time.

Answers

Answer:

I don't know of velocity but

acceleration: 6m/s

Explanation:

here

initial velocity(u):0m/s

final velocity(v):36m

time taken(t): 6s

now

a:v-u/t

or a: 36-0/6

a:6m/s#

By how much will the runner's achilles tendon stretch if the force on it is 8.0 times his weight? young's modulus for tendon is 0.15×1010n/m2.

Answers

The runner's achilles tendon stretch is 5mm.

What is Young's modulus?

Young's modulus (Y) is described by the following expression.

[tex]Y = \frac{F \times L}{ΔL \times A } [/tex]

where,

F=force exerted on the tendon

A=area

∆L=change in length (streching)

The force in this case is 8 times the weight of the runner

F=8×m×g

F=8×70×9.8

F=5488N

therefore,the change in length of the tendon is given by

[tex]Δ = \frac{F \times L}{ Y \times A } [/tex]

[tex]ΔL = \frac{5488 \times 0.15}{0.15 \times 10 {}^{10} \times 1.1 \times 10 {}^{ - 9} } [/tex]

ΔL=0.00498m

The runner's achilles tendon will stretch by 0.004989m which is approx.5mm

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Derive an Expression for elastic potential energy of a spring

Answers

Answer:

spring force = -K × x , where X is elongation or compression in the spring. ( -) sigh shows that the spring force is opposite to the applied force to cause extension.

Potential energy = work done by spring force = integration of Force.

integrate the force (-K × x) over distance 0 to x .

U = 1/2 K × X^2 ( for elongation)

U = -1/2 × K × X^2 ( for compression)

Each giant planet has a core made of ________ that is 5 to 10 times the mass of earth.

Answers

The core of each giant planet is made up of rocky materials, which is 5 to 10 times the mass of earth.

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

What are rocky materials?The term rocky material refers to materials predominantly made up of the elements carbon, nitrogen, and oxygen in combination with hydrogen. A core of "ice" and "rock" equal to around 10 Earth masses exists within each large planet. Major internal heat sources on Jupiter, Saturn, and Neptune allow them to absorb as much (or perhaps more) energy as they do from solar radiation. There is no discernible interior heat in Uranus.

Thus, we can conclude that, the core of each giant planet is made up of rocky materials, which is 5 to 10 times the mass of earth.

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Southern hemisphere winds move surface water 90 degrees to the left of the direction of the wind.
a) true
b) false

Answers

Southern hemisphere winds moving surface water 90 degrees to the left of the direction of the wind is a true statement.

What is Wind?

This is referred to as the natural movement of air and other gases present in the atmosphere.

In the southern hemisphere, the surficial ocean waters which are moved by wind will result in a net perpendicular leftward movement to it thereby making it the most appropriate choice.

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What total energy (in kj) is contained in 1. 0 mol of photons, all with a frequency of 2. 75 × 10^14 hz?

Answers

The total energy contained in 1 mol of photons is 109.75 KJ / mol

Given,

Frequency =  2.75 × 10 ^ 14 hz

We know that, Energy = Number of photons × Energy in one photon

                                      = n h v

                                      = (6.023 × 10^23) × ( 6.626 × 10^-34) ×( 2.75×10^14)

                                      =109.75 KJ/mol

Concepts

The total energy of a system is the sum of its gravitational potential and kinetic energy, and this total energy is preserved in orbital motion. To depart a planet and not return, objects should have a minimum velocity, known as the Escape Velocity

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Copernicus's model of the universe differs from Ptolemy's because Copernicus believed

Answers

Copernicus's model of the universe differs from Ptolemy's because Copernicus believed the Sun is at the center of the universe and majority of the bodies in the universe revolves around the Sun.

What is the Universe?

The universe is defined as the open place that contains the planets, stars, galaxies, and all other forms of matter and energy.

There are different models of the universe including which contains the Copernicus's model and Ptolemy's model.

The Copernicus's model of the universe differs from Ptolemy's because Copernicus believed the Sun is at the center of the universe and majority of the bodies in the universe revolves around the Sun.

While the Ptolemy's model of the universe differs from the Copernicus's model because Ptolemy believed that the Earth is at the center of the universe and everything in the universe revolves around the Earth.

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What is the momentum of a tiger that has a mass of 81 kg and runs with a velocity of 5. 4 m/s to the east? (1 point)

Answers

The momentum of a tiger that has a mass of 81 kg and runs with a velocity of 5. 4 m/s to the east will be  437.4 Kg m/s in east direction.

Momentum is a property of a moving body that the body has by virtue of its mass and motion and that is equal to the product of the body's mass and velocity broadly .It is a property of a moving body that determines the length of time required to bring it to rest when under the action of a constant force.

momentum = mass * velocity

given

mass of tiger = 81 kg

velocity of tiger = 5.4 m/s

since ,

momentum = m * v

                   = 81 * 5.4 = 437.4 Kg m/s

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Light of a given wavelength is used to illuminate the surface of a metal, however, no photoelectrons are emitted. In order to cause electrons to be ejected from the surface of this metal you should?

Answers

In order to cause electrons to be ejected from the surface of this metal you should use light of a shorter wavelength.

The photoelectric effect is the emission of electrons when electromagnetic radiation, such as light, hits a material. Electrons emitted in this manner are called photoelectrons. The phenomenon is studied in condensed matter physics, and solid state and quantum chemistry to draw inferences about the properties of atoms, molecules and solids. The effect has found use in electronic devices specialized for light detection and precisely timed electron emission.

This process is also often referred to as photoemission. In terms of their behaviour and their properties, photoelectrons are no different from other electrons. The prefix, photo-, simply tells us that the electrons have been ejected from a metal surface by incident light.

The photons of a light beam have a characteristic energy, called photon energy, which is proportional to the frequency of the light. In the photoemission process, when an electron within some material absorbs the energy of a photon and acquires more energy than its binding energy, it is likely to be ejected. If the photon energy is too low, the electron is unable to escape the material. Since an increase in the intensity of low-frequency light will only increase the number of low-energy photons, this change in intensity will not create any single photon with enough energy to dislodge an electron. Moreover, the energy of the emitted electrons will not depend on the intensity of the incoming light of a given frequency, but only on the energy of the individual photons.

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Aluminium has a work function of 4. 08 ev. (a) find the cutoff wavelength and cutoff frequency for the photoelectric effect?

Answers

Aluminium has a work function of 4. 08 eV. The cutoff wavelength and cutoff frequency for the photoelectric effect is 303.9nm and 911.7× 10¹⁷ s⁻¹ respectively.

Work Function is the minimum energy required to eject an electron from a photoelectric material.

Cutoff Wavelength is the maximum wavelength below which electron will be ejected

Cutoff Frequency is the minimum frequency required to eject electron.

Let the work function of Aluminium be Φ

Given,  work function Φ = 4.08eV

We know that hc/λ =  Φ

where, h is Planck constant

c is speed of light

λ is wavelength of light used

Hence, on subsitution

1240 / λ = 4.08 eV          (hc = 1240)

⇒ λ = 303.9 nm

Hence, cutoff wavelength used is 303.9 nm

We know that ν = c/λ

ν = 3 × 10⁸ / 303.9

⇒ ν = 911.7 × 10¹⁷ s⁻¹

Hence, cutoff frequency used is 911.7 × 10¹⁷ s⁻¹

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