The force between two masses m and m is 8.0 n when they are a certain distance r apart. what will the force between these two masses be if the distance between them is increased by a factor of four?

Answers

Answer 1

The force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N

We know that,

F = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]r^{2}[/tex]

where,

F = Force

G = Constant

[tex]m_{1}[/tex], [tex]m_{2}[/tex] = Masses

r = Distance between those two forces

Given that,

F = 8 N

When the distance between those two masses is increased by a factor of four,

[tex]F^{'}[/tex] = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]( 4r)^{2}[/tex]

[tex]F^{'}[/tex] = F / 16

[tex]F^{'}[/tex] = 8 / 16 = 1 / 2

[tex]F^{'}[/tex] = 0.5 N

Force is a phenomenon which can cause an objects motion to change. It causes an object with mass to change its velocity.

Therefore, the force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N

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Related Questions

choose the correct realistic problem for which this is the correct equation. choose the correct realistic problem for which this is the correct equation. at what distance along the axis of a charged disk is the electric field strength double its value at the center of the disk? give your answer in terms of the disk's radius r . at what distance along the axis of a charged disk is the electric field strength half its value at the center of the disk? give your answer in terms of the disk's radius r . at what distance along the axis of a charged square is the electric field strength double its value at the center of the square? give your answer in terms of the square's side r . at what distance along the axis of a charged square is the electric field strength half its value at the center of the square? give your answer in terms of the square's side r .

Answers

The correct realistic problem for the given equation is problem 1 in which the electric field strength of the disc is half its value at the center of the disk.

We know that,

Electric field of a charged disc at a distance along its axis is given by,

E = σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) )

Electric field at the centre of a charged disc is given by,

[tex]E_{c}[/tex] = σ / 2 ε ( Since at centre, x = 0 )

Distance along the axis of a charged disk, where electric field strength's value is half its value at the center of the disk.

[tex]E_{x}[/tex] = [tex]E_{c}[/tex] / 2

σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) ) =  ( σ / 2 ε ) / 2

x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) = 1 / 2

4 [tex]x^{2}[/tex] = [tex]x^{2}[/tex] + [tex]r^{2}[/tex]

3 [tex]x^{2}[/tex] = [tex]r^{2}[/tex]

x = r / √ 3 ,which is the correct distance, when magnitude is half its value from centre.

Electric field is a field that surrounds electrically charged particles that exerts force on other charged particles in the field.

Therefore, the given equation is suitable for Electric field of a charged disc at a distance along its axis where electric field strength's value is half its value at the center of the disk.

The given question is incomplete. The completed question is

You are given the following equation to solve a problem:

σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) ) = [tex]E_{c}[/tex] = σ / 2 ε

Choose the most realistic problem for which this could be the correct equation.

1 ) At what distance along the axis of a charged disk is the electric field strength half its value at the center of the disk? Give your answer in terms of the disk's radius R.

2 ) At what distance along the axis of a charged disk is the electric field strength double its value at the center of the disk? Give your answer in terms of the disk's radius R.

3 ) At what distance along the axis of a charged square is the electric field strength double its value at the center of the square? Give your answer in terms of the square's side R.

4 ) At what distance along the axis of a charged square is the electric field strength half its value at the center of the square? Give your answer in terms of the square's side R.

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2. the microscope is an instrument of measurement. measure the size of an object that fills ½ of the field of view under high power, 400x. show your math.

Answers

The size of the object is 200 micrometers.

Size of the object = (Diameter of the field of view) / Fit number

Field of view of high power magnification 400X = 0.40mm

Fit number = 2  (object fills ½ of the field of view )

Size of the object = 0.40 / 2 = 0.2mm = 200 micrometer.

Work is completed at a rate determined by power. The Watt is the common metric unit of power. A unit of power is adequate for one unit of work divided by one unit of time, as suggested by the facility equation. As a result, one Watt is adequate for one Joule/second. The term "horsepower" is occasionally wont to describe a machine's output of power for historical reasons. The equivalence of horsepower is roughly 750 Watts.  a person is a machine,  a bit like a machine with a power rating. Some people possess greater strength than others. In other words, some people have the power to accomplish the same amount of work in the same amount of time or in less time.

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a horizontal 52-N force is needed to slide a 50 kg box across a flat surface at a constant velocity of 3.5 m/s. What is the coefficient of kinetic friction between the box and the floor?

Answers

The coefficient of kinetic friction between the box and the floor is 0.11.

What is coefficient of friction?

Coefficient of friction is a measure of the amount of friction existing between two surfaces.

The coefficient of kinetic friction between the box and the floor is calculated as follows;

F - Ff = ma

where;

a is the acceleration of the boxm is mass of the boxFf is frictional forceF is applied force

F - μmg = ma

at a constant velocity, acceleration, a = 0

F - μmg = 0

F = μmg

μ = F/mg

μ = (52) / (50 x 9.8)

μ = 0.11

Thus, the coefficient of kinetic friction between the box and the floor is 0.11.

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There are no dangers when someone is underweight.

True
False
Question 2 (1 point)
Which of the following does NOT make up your body composition?

a
Muscles
b
Bones
c
Stomach Contents
d
Fat
e
Tissues
f
Organs
Question 3 (1 point)
A bathroom scale is the best measure of health.

True
False
Question 4 (1 point)
Which of the following is not true about being underweight?

a
Being underweight can lead to a lack of stored energy.
b
Being underweight can lead to lack of organ protection.
c
Being underweight can lead to infertiility.
d
Being underweight is healthy and there are no health issues.
Question 5 (1 point)
You cannot tell how healthy someone is by how they look on the outside.

True
False

Answers

1. False
2. Stomach contents
3. True
4. Being underweight is healthy and there are no health issues.
5. False

A student fires a cannonball vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building. Determine all unknowns and answer the following questions.

What was the cannonball's maximum height (measured from the ground)?

With what speed did the cannonball strike the building?

What was the cannonball's total flight time?

Answers

Using the equations of kinematics, we obtain the following results;

Maximum height of the cannonball = 59 mVelocity with which the ball strikes the building =  24 m/sTotal time of flight of the cannonball = 7 secsWhat is the maximum height?

The maximum height is the height that was attained by the projectile. In this case, we have the fact that the projectile was fired vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building.

1) The maximum height could be obtained from;

v^2 = u^2 -2gh

v = final velocity ( 0 m/s at the maximum height)

u = initial velocity = 34.0m/s

g = acceleration due to gravity = 9.8 m/s^2

h = maximum height attained

Since v = 0 m/s

u^2 = 2gh

h = u^2/2g

h = (34)^2/ 2 * 9.8

h = 1156/19.6

h = 59 m

2) Given that the distance covered from the maximum height to the top of the building = 59 m - 30 m = 29 m

v^2 = u^2 + 2gh

In this case, the initial velocity is zero because the cannonballs dropped from a height

v^2 = 2gh

v = √2gh

v = √2 * 9.8 * 29

v = 24 m/s

Given that;

v = u - gt

v = 0 m/s when the cannon ball is projected upwards;

u = gt

t = u/g

t = 34.0m/s/9.8 m/s^2

t = 3.5 secs

The total time spent in air = 2(3.5 secs) = 7 secs

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A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises explain why (3marks)

Answers

The observation is due to heat transfer from the stearic acid to the water, and as a result, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.

What is heat transfer?

Heat transfer is the process by which heat energy moves from one body or object to another.

Heat is transferred from a hotter to a colder object.

There are three major processes of heat transfer, they are:

conductionconvection, and radiation

Conduction is a for of heat transfer which occurs without actual movement of the molecules, but as result of the vibration of the particles thereby transferring energy from one molecule or particle to the next.

Considering the observation above:

A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises.

The given observation is because heat has been transferred from the stearic acid to water. Thus, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.

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An object undergoes simple harmonic motion with time period of 2s and amplitude 0.5m. at time t=0 the displacement if the object is a maximum. what is the displacement of the object from the equilibrium position at t=1.5s?

Answers

When t is 1.5 seconds displacement of the object is 0.41 m.

Displacement of an object is defined as the shortest path covered by an object. It can be represented in the units centimeters and meters.

The object's time of simple harmonic motion is T.

T = 2 seconds

The object's amplitude simple harmonic motion is a.

a = 0.5 m

Displacement of the object is maximum when t = 0.

The displacement of the object is y.

When t is 1.5 seconds displacement of the object is,

[tex]y = a \: sin( \frac{2\pi}{T} )t[/tex]

[tex]y = 0.5\: sin( \frac{2\pi}{2} ) \times 1.5[/tex]

[tex]y = a \: sin( \pi \: 1.5)[/tex]

y = 0.41 m

Therefore, when t is 1.5 seconds displacement of the object is 0.41 m.

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a vertical piston-cylinder device contains a gas pressure of 150 kpa. the piston has a mass of 12 kg and a diameter of 15 cm. pressure of the gas is to be increased by placing some weights on the piston

Answers

The local atmospheric pressure can be determined from the total pressure at the initial state:

What is mass?

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass. The kilogram serves as the SI's fundamental mass unit.

Therefore,

a vertical piston-cylinder device contains a gas pressure of 150 kpa. the piston has a mass of 12 kg and a diameter of 15 cm. pressure of the gas is to be increased by placing some weights on the piston

The local atmospheric pressure can be determined from the total pressure at the initial state:

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What is the answer to this problem .

A,B,C or D ?

Answers

Option B, the fact that the rubber band is made up of elastic material ensures that it possesses mechanical energy as mechanical energy is stored in the form of kinetic and potential energy.

What is mechanical energy?

Mechanical energy is one form of energy in which the total energy is conserved in the form of kinetic and potential energy. In mechanical energy kinetic energy changes into potential energy and vice-versa.

What is an elastic material?

Elastic materials are types of materials that get back to their original shape after getting stretched by an external force. For example, rubber is an elastic material because it is stretched when force is applied to it but returns to its original shape once the forces are removed.

Now in the given question we have been asked why rubber band has mechanical energy.

The first option states because of mass but since  the meaning of mass does not insure that it is only mechanical energy it could also be electrostatic energy or any other form of energy.

Option B talks about the elastic nature of rubber band which is a correct answer to the question.

Elastic nature of the rubber band ensures that the total energy remains conserved in the form of mechanical energy.

In rubber band when it is stretched in the stressed position it stores energy in the form of potential energy.

While it is released from stretched position the energy gets converted into kinetic energy therefore conserving the total mechanical energy.

Therefore option B which states that the mechanical energy of the rubber band exist because of elastic nature of the material of the rubber band is the correct option.

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. the a string of a violin is a little too tightly stretched. beats at 4.00 per second are heard when the string is sounded together with a tuning fork that is oscillating accurately at concert a (440 hz). what is the period of the violin string oscillation?

Answers

The period of the violin string oscillation is 2.25 x 10 3 s.

Let T be the period.

The beat frequency is then equal to 1/T440Hz=4.00 beats/s.

T thus equals 2.25 x 10 3 s.

The "too tightly stretched" string has more tension, which causes it to have a higher (fundamental) frequency.

The process of any quantity or measure fluctuating repeatedly about its equilibrium value in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.

The time it takes the particle to complete one oscillation is known as the period (T) of the oscillation. The particle travels in the same direction and via the same point after time T.

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A control is the___by which test___ can be compared.

Answers

A control is the standard by which test variables can be compared.

What is an experiment?

An experiment is a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy of something previously untried.

In an experiment, controlling an experiment means designing an experiment so that the effects of one or more variables are reduced or eliminated.

A control is a separate group or subject in an experiment against which the results are compared.

Therefore, it can be said that a control is the standard by which test variables can be compared.

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6. A rock is dropped from a cliff and takes 6 seconds to hit the ground. At what time is the
speed of the rock the highest?

Answers

Answer:

Acceleration due to gravity = g = 9.8 m/s²

Time to reach ground = t = 6 sec

Initial Velocity of the Rock = Vi = 0 m/s (Because, the rock will be at rest, initially)

Hope this answer helps you out!

which is a better deal?

a, 1 liter of gas for $1.50
b, same amount of gas for the same amount of money
c, 1 gallon of gas for $4.00​

Answers

C. 1 gallon of gas for $4.00

What is the peak current through a 484 w room heater that operates on 110 v ac power?

Answers

Through a 484-w room heater that operates on 110 v ac power, the peak current would be 6.22A

Concept of Peak current:

The maximum amount of current that an output is capable of sourcing for brief periods of time is known as the peak current.

When an electrical device or power supply is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.

What is the peak current or the RMS current

Peak current is the highest current present at any particular moment. On the other side, RMS currents are the average currents.

Calculation

Io =?

Power = Vrms x Irms = 484

⇒ 484 = 110v x Io/ [tex]\sqrt{2}[/tex]

Io = (484 x [tex]\sqrt{2}[/tex]) / 110

Io = 6.22A

Thus, the peak current is 6.22A

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why did a glass bottle with a water burst at night in the cold on a glazed balcony?​

Answers

Answer:

i guess if the a glass gets to cold it will bust

Explanation:

Polar latitudes have a solar radiation deficit.

Answers

Answer: TRUE

Explanation:

Ionic Bonds are formed when two elements _________________.

Answers

with significant differences in electronegativity.

two or more atoms loss or gain electrons to form an ion

Explanation:

up above

a wooden block floats a liquid with 1/4 of it's volume above the liquid.find the density of the liquid given that the density of the wood is 900 gm–³



Answers

675g/cm³ is the density of the liquid

Here we have given that

density of wood be ρ.

the volume of the block be V          

The volume of the block =1/4 v

The volume of the immersed block (v) =V-1/4V=3/4V

We know the weight of the block = the weight of the water displaced by the submerged part of the block.

i.e. V x ρ x g    

= 3/4 x900g/cm³                            

= 675g/cm³

Density is a measure of mass divided by the volume of an object. Defined as mass per unit volume. here from the above equation we have substituted the given value and  we got the answer as 675g/cm³

       

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Why does 10 gram bigger cooper than 10 gold

Answers

Answer: A gram of gold is worth about $25, so 2 grams or better would be viewed as high-grade for bulk tonnage mining.

Explanation:

i looked it up.

A reconnaissance
plane flies 584 km away
from its base at 940 m/s, then flies back to its
base at 1410 m/s.
What is its average speed?
Answer in units of m/s.

Answers

The average speed of the plane is 1128m/s.

The entire distance covered by the object in a specific amount of time is its average speed.  Average speed exists as a scalar quantity. The magnitude serves as its representation, and it lacks direction.

Given:

Distance one way = 584km

Speed from its base = 940m/s

Speed back to base = 1410m/s

To find:

Average speed, Avg = ?

Formula:

Avg = total distance / total time

Calculations:

Total distance = 584 + 584 = 1168km = 1168000m

Total time = (584000/940) + (584000/1410)

Avg = 1168000 / [(584000/940) + (584000/1410)]

Avg = (2 x 940 x 1410) / (1410 + 940)

Avg = 2650800 / 2350

Avg = 1128m/s

Result:

The average speed of the plane is found to be 1128m/s.

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My observation is that no object on planet Earth will keep going in one direction forever and never slow down. Because of friction, and air resistance, objects will eventually slow down (from free fall or motion).

Newton's first law (Law of Inertia) states that all objects in motion will stay in motion until acted upon by an outside force.

Can anyone give an example where an object on Earth follows Newton's first law?

Answers

An example where an object on Earth follows Newton's first law is a ball rolling on the ground.

What is Newton's first law of motion?

Newton's first law of motion states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Examples of Newton's first law of motion;

Brakes applied by a bus driver abruptlyAn object placed on a plane SurfaceA ball rolling on the ground.

Thus, an example where an object on Earth follows Newton's first law is a ball rolling on the ground.

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Victoria Falls is a waterfall on the Zambezi River in southern Africa, which provides habitat for several unique species of plants and animals. It is located on the border between Zambia and Zimbabwe and is one of the world's largest waterfalls, with a width of 1,708 m (5,604 ft). Victoria falls 20.0 meters into a pool of water below. If she lands 2.8 meters away from the diving platform, what was her horizontal velocity?

Answers

Answer:

Explanation:

.

What is the transformed numeric value for employment length (emp_length) for those working more than 10 years?

Answers

The possible values lie between 0 to 10. The transformed numeric value can be 10.

Why are numerical features transformed?

The skewed features need to be transformed in order to make them regularly distributed. With square root, cube root, and logarithm transformation, right-skewed features can be made normal.

How may Excel be used to turn non-numeric data into numeric data?

Choose the cells that have text-based numbers recorded in them. Then Click Paste > Paste Special on the Home tab. After selecting Multiply, select OK.

Excel multiplies each cell by 1, converting the text to numbers in the process.

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A student drops a ball from the top of a 24 m tall building. Ignoring air resistance, how long did it take for the ball to hit the ground?

Answers

Answer:

1.11111 century mother duck

A Man's mass on earth is 45kg. What is his mass and weight on space

Answers

The correct answer is 441 N.

The force that pulls objects toward the centre of the Earth is known as earth gravity. The acceleration of all the bodies that are affected by gravity is almost equal to the strength of the gravitational field.

The force exerted on an object by gravity is known as the weight of a body.

As a result, we can state that weight is only a force.

Given that the mass of a person on earth is = 45 kg

and that gravity's acceleration on earth is = 9.8 ms^2.

Weight, then, is defined as mass multiplied by the gravitational acceleration, or W = m × g.

W = 45 × 9.8

W = 441 N

Hence, the total weight on Earth will be 441 Newton.

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a piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. knowing that the drill exerts a 12-n⋅m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at a and b, (b) at b and c, (c) at a and c.

Answers

The measure of a force is known as the magnitude of the force. When two or more forces act on a body, the total sum of the forces acting on it is known as the magnitude of the resultant force.

In simpler terms, the sum of the total force is the resultant force.

The magnitude of the resulting forces can be calculated by

[tex]R = \frac{Couple}{Position}[/tex] where R is the resultant force.

Forces at

(a)  A and B

AB = 0.45m

R * (0.45m) = 12 N-m

R = [tex]\frac{12}{0.45}[/tex]

R = 26.66 N

(b)  B and C

BC = 0.24m

R * (0.24m) = 12 N-m

R = [tex]\frac{12}{0.24}[/tex]

R = 50 N

(c) A and C

AC = [tex]\sqrt{AB^{2} +BC^{2} }[/tex]

AC = [tex]\sqrt{(0.45)^{2} + (0.24)^{2} }[/tex]

AC = 0.51m

R * (0.51m) = 12 N-m

R = [tex]\frac{12}{0.51}[/tex]

R = 23.9 N

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Pure water has a density of 1000 kg/m³. Explain what will
happen to a block of material with a density of 1020 kg/m³
when placed into:
sea water
pure water.

Answers

The block of material with a density of 1020 kg/m³ when placed into pure water will sink.

What is the density of an object?

The Density of an object is the ratio of the mass and volume of the object.

density = mass/ volume

The density of an object measure how compact the particles of an object are.

Dense objects have particles that are tightly packed together whereas less dense objects have particles that are less tightly packed together.

A denser solid will sink in a less dense liquid.

A less dense solid will float in a denser liquid,

Comparing the densities of the solid object and the density of water.

The block of material has a greater density than water. Hence, the block of material will sink in water.

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If 500j of energy were added to 1kg of each of these samples, which would expiernce the least temperature increase?

Answers

If 500J of energy was added to one each sample of Aluminum, Brass, Copper, and Platinum, Aluminum will experience the least temperature increase.

This can be explained with the concept of Specific heat. Specific heat may be defined as the heat required to raise the temperature of a unit mass of a substance by 1°C.

Now the relation between Heat and temperature change can be given by:

Q=mSΔT; where m is the mass of the given substance, S is the specific heat capacity and ΔT is the temperature change.

Since the mass of all the samples is the same and the same amount of energy is added to them then the temperature change is inversely proportional to Specific heat capacity.

ΔT∝1/S

Out of all the samples' given Aluminum has the highest Specific heat.

Thus, the temperature change is least for aluminum.

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Complete Question:

If 500j of energy were added to 1kg of each of these samples of Aluminum, Brass, Copper and Platinum then which would experience the least temperature increase?


Haru always wanted to be a marathon runner and he set his first goal to run five miles in 50 minutes, but while he was trying to meet his objective, he
noticed that he is a really fast sprinter and would have greater success in short races. What behavioral trait BEST describes Haru's personality?

Answers

Short races trait  is the BEST describes Haru's personality . and to run a marathon, you have to run 26.2 miles by foot , it is not easy.

MarathonThe word "marathon" originates in a Greek myth. According to the myth, a gallant soldier sprinted from the Marathon battlefield all the way to Athens, Greece, to inform everyone that the Greeks had defeated the Persians. It is claimed that he covered the entire distance, which is equivalent to a current marathon, without pausing.A marathon requires a lot of effort. It requires perseverance, practice, and hard effort. After all, you must run 26.2 miles on foot to complete a marathon! Consider it like this: 26.2 miles is equivalent to more than 460 times around a football field.

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electrons, like all other matter, exhibit the dual behavior of both particles and waves. since electrons travel like waves, their energy is restricted to certain energy , each of which is associated with a specific wavelength

Answers

Electrons, like all other matter, exhibit the dual behavior of both particles and waves. Since electrons travel like waves, their energy is restricted to a certain energy level, each of which is associated with a specific wavelength.

Wave-particle Duality:

Wave-particle duality is the idea that matter and energy have characteristics that are typical of both waves and particles. Depending on the circumstances, the matter may be seen as a wave or a particle.

Objects with huge masses, like baseball, have such small wavelengths that they are best regarded as particles. On the other hand,  objects with small masses, like photons, have huge wavelengths and are best regarded as waves. However, objects with intermediate masses, like electrons, have characteristics of both particles and waves.

As a result, in 1924 de Broglie hypothesized that a particle like an electron may be characterized by a wave. Since electrons are waves, their energy is limited to specific energy levels, each of which corresponds to a given wavelength which is given by

[tex]\lambda =\dfrac{h}{mv}[/tex]

Where h Planck’s constant,

m  ⇒ mass of the particle

v  ⇒ velocity of the particle

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Electrons, like all other matter, exhibit the dual behavior of both         and                     Since electrons travel like waves, their energy is restricted to a certain energy        , each of which is associated with a specific wavelength.

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