You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below.

You Are Working For A Manufacturing Company. Your Supervisor Has An Idea For Controlling The Position

Answers

Answer 1

You are working for a manufacturing company, which is mathematically given as

[tex]m=3\sqrt{2}[/tex][tex]m=\frac{15\sqrt{5}}{16}[/tex]x=0.747a[tex]m/n=\frac{(x^2+a^2)3/2}{x^3}[/tex]

What is the value of m that will place the movable bead in equilibrium at x-a a ....?

a)

Generally, the equation for the force of equilibrium is mathematically given as

F=2fcos\theta

Therefore

[tex]K(npq^2/a^2)=2\frac{kmpq^2}{a\sqrt{2}^2}0.5\\\\np=mP/ \sqrt{2}\\\\where n=3[/tex]

[tex]m=3\sqrt{2}[/tex]

b)

By force equilibrium

[tex]K(npq^2/(2a^2))=2*\frac{kmpq^2}{a\sqrt{5a}^2}* \frac{2a}{\sart{5a}}[/tex]

Therefore

[tex]n/4=2/5*m*2/\sqrt{5}\\\\m= \frac{5\sqrt{5}}{16}\\\\\\\\[/tex]

[tex]m=\frac{15\sqrt{5}}{16}[/tex]

c)

[tex]K(npq^2/x^2)=2\frac{kmpq^2}{a\sqrt{x^2+a^2}^2}0.5*x/\sqrt{x^2+a^2}[/tex]

x^2+a^2=(14/3)^{2/3}x^2

x=a/1.338

x=0.747a

d)

By force equilibrium

[tex]K(npq^2/x^2)=2\frac{kmpq^2n}{\sqrt{x^2+a^{3/2}}^2}\\\\n/x^2=\frac{2mx}{(x^2+a^2)^{3/2}}[/tex]

[tex]m/n=\frac{(x^2+a^2)3/2}{x^3}[/tex]

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Related Questions

1. Name three products excreted by plants but commercially used by man. Also state the purpose for which they are used

Answers

Answer:

1) Oxygen, It is made as a by-product of photosynthesis. it is used for breathing.

2) Gums, It is a degradation product of cells. It is used in cosmetics, pharmaceuticals, etc.

3) Latex, It is made from the sap of rubber trees. It is used in the manufacture of rubber products.

Explanation: Hope it helps you:))))

Have a good day

A concave mirror has a radius of curvature of 1.6m. Find the focal length

Answers

given,

Radius of curvature of concave mirror = 1.6m

We know that ,

Focal length = radius/2

Hence ,

Focal length of concave mirror = radius of concave mirror /2

=> F = 1.6/2

=> F = 0.8m

Hence the focal length of concave mirror is 0.8 m

Answer:

given,

Radius of curvature of concave mirror = 1.6m

We know that ,

Focal length = radius/2

Hence ,

Focal length of concave mirror = radius of concave mirror /2

=> F = 1.6/2

=> F = 0.8m

Hence the focal length of concave mirror is 0.8 m

Explanation:

Which statement about bout waves is correct?

Answers

Answer:

In light waves, the electromagnetic fields oscillate perpendicular to the direction of propagation. Hence, sound waves are longitudinal waves whereas light waves are transverse waves.

with detailed explaniation

Answers

Answer:

Hi,

    I can't tell what it says where you have written 'with the horizontal giving ____'.

I am unable to tell what the word after 'giving' is. Please ix it ASAP.

Thank you

Explanation:

Answer:

Hello is it possible if you can explain what we are supposed to detail and I can't read what the photo says it is a jumble of words?

Explanation:

Two friends decide to start selling their drone camera aerial footage. Which economic question have they answered?

For whom to produce?

How much to produce?

How to produce?

What to produce?

Answers

The brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.

What is an economic question?

The term economic question is a question that evaluates the processes involved in production. These questions are;

For whom to produce?How much to produce?How to produce?What to produce?

In this case, the brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.

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Answer:What to produce

Explanation:

Identifying Characteristics of Solids
Use the drop-down menus to complete the statements.
The atoms in a solid
The arrangement of atoms in a solid causes it to have a definite
rn are called
solids.??? Please help
Me it’s due RN

Answers

The solids whose particles occur in a definite pattern are called crystaline solids.

What is a crystalline solid?

The term crystalline solid has to do with the type of solid in which the atoms that components that make up the solid are all in definite positions and occur in a regular repeating pattern.

The particles of a solid are found in fixed positions. The solids whose particles occur in a definite pattern are called crystaline solids.

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a. Remain in a fixed position.

b .  Crystalline solids

What are the properties of solid?

Some properties of solid are:

solid have a fixed shape and a fixed volumesolid cannot be compressedsolids have high density.force of attraction between the particles in solid is very strong.The space between the particles of solids is negligible.atoms are remain in a fixed position

The properties of crystalline solid

The atoms that components that make up the solid are all in definite positions Atoms occur in a regular repeating pattern.

Hence , The particles of a solid are  in fixed positions.

The arrangement of atoms in a solid causes it to have a definite are called crystalline solids.

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ten-story building has identical stairs throughout its stairways. A student calculates the amount of work required to climb one set of stairs and the amount of work to climb the entire ten sets.


Which quantity will remain constant in this experiment?

Answers

Answer:

c

Explanation:

Make a 1000-cm³ container. What
will be the dimensions of the
length, width, and height? How
much water will this container
hold? What is the mass of this
amount of water?

Answers

Answer:

see below

Explanation:

OK....here is one :

  L    W    H

 10 x 10 x 10  cm   =   1000 cm^2     this is a cube

    the container will hold the volume  of  1000 cm^3  of water

       which will have a mass  1 kg    ( this is a liter)

 

If u add 1.362 and 25.2 what is the correct answer?

Answers

Answer:

26.562

Explanation:

1+25= 26

0.362+0.2= 0.562

26+0.562= 26.562

or just use a calculator

If the period of a wave is 9.2 s, what is its frequency (in Hz)?

Answers

The period of the function is the inverse of the frequency:

 ⇒ (in other words) [tex]period = \frac{1}{frequency}[/tex]

Since the period is 9.2s:

 [tex]Frequency = \frac{1}{period}=\frac{1}{9.2} =0.11_.Hz[/tex]

Answer: 0.11 Hz

Hope that helps!

1. What kind of light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds?
2. A light phenomena which are formed when light passes through clouds and strikes
18

the ice crystals in them?
3. A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion?
4. Rainbow are created after a rain shower and . 5. What do you call a visible accumulations of tiny water droplets or ice crystals
in the Earth’s atmosphere?
6. Howmanycolorsinrainbow?
7. What kind of rainbows are formed when light strikes small raindrops with almost the same size?
8. What kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow?
9. What do you call as a reflective surface that is curved inward and away from the light source?
10. What kind of mirror are curved outward like the bottom
of a spoon?

Answers

1. The light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds is called Sundogs.

2.A light phenomena which are formed when light passes through clouds and strikes the ice crystals in them is called Halos.

3.A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion is Rainbow.

4.  Rainbow are created after a rain shower and Sun light.

5. A visible accumulations of tiny water droplets or ice crystals.

in the Earth’s atmosphere are called Clouds.

6. There are seven colors in a rainbow.

7. The kind of rainbows are formed when light strikes small raindrops with almost the same size are Supernumerary rainbows.

8.The kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow are Secondary rainbows.

9. A reflective surface that is curved inward and away from the light source is concave mirror.

10. The kind of mirror are curved outward like the bottom

of a spoon is convex mirror.

What is reflection?

When a light strikes on a shiny surface, it reflects back the light ray in the same medium. The phenomenon is called reflection and the ray is called the reflected ray.

Thus, all the questions are answered.

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Ultrasound is used to scan the unborn baby of a pregnant mother.
The detector receives an echo from the skull of the fetus 58 us after the pulse leaves the ultrasound
scanner.
Calculate the distance from the ultrasound scanner to the skull to 2 significant figures.
Give the unit for your answer.
(The speed of ultrasound in soft tissue is 1540 m/s

Answers

Explanation:

Echo method formula for speed of sound : 2 x distance / time taken

2 x distance / 58 = 1540 m/s
2 x distance = 1540 m/s / 58 s
= 26.55172414 m
Distance = 26.55172414 / 2
= 13.27586207
= 13 m

How much weight can be placed on the spring so that the end of the spring is 2m above the ground?

Answers

The weight must be 288N placed on the end of the spring when it is 2m from the ground.

What is gravitational potential energy?

If an object is lifted, work is done against gravitational force. The object gains energy.

Given is a spring has a spring constant of 48 N/m. The end of the spring hangs 8 m above the ground. The final height of weight above the ground, h =2m

Using Hooke's law, expressed as

Force, F = k (x₂-x₁).

Put the values, we get

F = 48 (8-2)

F = 288 N

This force applied on the spring is equal to the weight placed on the spring.

Weight W= 288N.

Thus, the weight must be 288N.

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A person in a hurry averages 70mph on a trip covering a distance of 500 m. what time was required to travel that distance?

Answers

The time required to travel that distance at the given speed is determined as 15.84 seconds.

Time of motion

The time of motion of the person is calculated as follows;

Distance = speed x time

time = distance/speed

where;

distance = 500 m = 0.31 mile

time = (0.31 mile)/(70 mph)

time = 0.0044 hr = 15.84 seconds

Thus, the time required to travel that distance at the given speed is determined as 15.84 seconds.

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please help me fast


_________ are the smallest plant, visible to our eyes .



Answers

Wolffia

I think I know that is the smallest flowering plant, but I don’t know about just the smallest plant.

a steam engine work on its vicinity 285 k heat is released with the help of 225 c energy absorbed to the system what is the efficiency of steam engine explain the use of the rest of the energy physic problem

Answers

Efficiency= change in Energy/ time or useful work done/ time

The efficiency of steam engine is  26.66 %.

What is Efficiency?

The efficiency is defined as the work done by the engine divided by the heat supplied.

Work done is the difference between the heat supplied and heat rejected.

So, efficiency η = (Qs -Qr) / Qs

Given is the heat supplied Qs = 225 Joules and heat rejected Qr =285 . then the work done is

W = 225 -225 = - 60 Joules

Efficiency η  = 60/225 x 100%

η = 26.66 %

Thus, the efficiency of the steam engine is  26.66 %.

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The nuclear reaction that powers the sun involves the fusion of four protons (mp = 1.673x10-27 kg) into a helium nucleus (mHe = 6.645x10-27 kg). The process involves several steps, but the net reaction is simply: 4p  He + energy. How much energy is released overall in each fusion process? Give your answer in J and MeV

Answers

Explanation:

it's 5 + 5 + 5 + 12 + 5 x 7 x 7 7+ 8 5+6+ +8 +9 + 9 5

Which statement best defines work? (2 points) Group of answer choices
-Work is the time it takes to move an object once acted upon by a force.
-Work occurs when balanced forces act on an object and cause movement in the direction of these forces.
-Work occurs when a force causes motion of an object, and this motion is in the same direction of the applied force.
-Work is the distance over time that an object moves once acted on by a force.

Answers

Answer:last choice is correct. Work is equally to force times distance

Explanation:to generalize, W is equal to to force as a function of distance integrated over distance. Work is equivilent to energy. See work/force equivalency

answer with detail explanation if possible

Answers

The work done on a body when it is moved is  125J

What is Work energy theorem?

It states that the Work done in moving a body is equal to the change in kinetic energy of the body

Kinetic energy = 1/2 mv²

Given is a body of mass m = 6kg, moving distance d =25 m in time t=5s.

Final Velocity v = 25/5 = 5 m/s

The body is initially at rest, so, final velocity is zero. Then, change in kinetic energy will be

ΔK.E = K.Ef - K.Ei

ΔK.E = 1/2 x 6 x (5)² -0

ΔK.E  =125J

According to work energy theorem, work done is

W = 125J

Thus, the work done on a body when it is moved is 125J.

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When the eyes are closed, what sensory organs provide such information?

Answers

Answer:

Explanation:

the inner ears and proprioreceptors

A student places two magnets as shown; with their south poles equal distances from a compass. The student observes that the compass needle points in the indicated direction. From this observation alone can you determine which magnet is stronger. Justify your reasoning?

Answers

Since the direction of the needle depends on the proximity of the magnet thus this test alone is insufficient to determine the stronger magnet.

What is a magnetic field?

A magnetic field refers to the region where the effect of a magnet is felt. The magnetic field can be observed by the use of a compass.

Now, we know that the closer the magnet is to the compass, the greater the deflection hence this test alone is insufficient to determine the stronger magnet.

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what are transistors and its types

Answers

Answer:

A transistor is a semiconductor device used to amplify or switch electronic signals. Transistors are broadly divided into three types: bipolar transistors (bipolar junction transistors: BJTs), field-effect transistors (FETs), and insulated-gate bipolar transistors (IGBTs).

Explanation:

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For thousands of years people thought that heavier objects fell faster than lighter objects. In fact, this is something that we can sometimes observe in our everyday lives. But according to Galileo this is wrong! His Law of Falling Bodies says that all objects fall at the same rate. After watching the assigned video please comment on how it is possible that Galileo's theory says one thing but our everyday experience says something else.

Answers

Answer:

See below

Explanation:

Gallileo is CORRECT in a vacuum where there is no air friction

  air friction affects same or different weight objects differently  and will cause same-weight   or different weight  objects to fall at different speeds

Question: How does a lunar eclipse occur? What evidence can you provide to explain that?

Think!!!! Write Claim, Reasoning and add evidence.

Answers

Answer:

Claim: Lunar eclipses occur when Earth passes between the Sun and the Moon, blocking the sunlight falling on it.

Evidence: A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and casting a shadow across its surface. A lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. Sun-blocking Earth casts two shadows on the moon: The umbra is a full, dark shadow, and the penumbra is a partial shadow. Lunar eclipses can be divided into two types: total and partial. A total lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. A partial lunar eclipse happens when only part of Earth's shadow covers the Moon.

Reasoning:  The Moon moves into the shadow of the Earth during a lunar eclipse. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, which can happen only on the night of a full moon when the moon is near either lunar node.

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Answer:

Claim: Lunar eclipses occur when Earth passes between the Sun and the Moon, blocking the sunlight falling on it.

Evidence: A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and casting a shadow across its surface. A lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. Sun-blocking Earth casts two shadows on the moon: The umbra is a full, dark shadow, and the penumbra is a partial shadow. Lunar eclipses can be divided into two types: total and partial. A total lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. A partial lunar eclipse happens when only part of Earth's shadow covers the Moon.

Reasoning:  The Moon moves into the shadow of the Earth during a lunar eclipse. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, which can happen only on the night of a full moon when the moon is near either lunar node.

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A lizard climbs up a building 15.5 m and then turns around and goes down the bulding 23.7 m. This takes the lizard 31.5s. what is the average velocity of the lizard?
1.24 m/s Down
0.26 m/s Down
258 m/s Down
3.8 m/s Down

Answers

The average velocity of the lizard for the whole journey is 0.26 m/s Down.

What is average velocity?

The term average velocity has to do with the velocity of the lizard for the whole journey. We can see that the downward displacement is greater than the upward displacement.

Thus;

Velocity = displacement / time = 23.7 m - 15.5 m/31.5s = 0.26 m/s Down.

Thus, the average velocity of the lizard for the whole journey is 0.26 m/s Down.

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why is electric current scalar quantity with having direction ?​

Answers

Explanation:

It represents the direction of flow of positive charge but is treated as a scalar quantity because current follows the laws of scalar addition and not the laws of vector addition. The angle between the wires carrying current does not affect the total current in the circuit.

Answer:

It represents the direction of flow of positive charge but it is treated as a scalar quantity because current follows the laws of scalar addition and not the laws of vector addition, because the angle between the wires carrying current does not affect the total current in the circuit.

When a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g/2 (gravity over 2). Shaow that : density of metal =2density of liquid

Answers

Answer:

Fm is the net force down on the metal in air

Fm / 2 is the net force down on the metal in liquid

Fl is the buoyant force on the metal due to liquid

Fm - Fl = Fm / 2      equating upward and downward forces

Fm / 2 = Fl    

The specific gravity of the metal is twice that of the liquid

Note: F = M g = ρ V g     since ρ = M / V

two forces x and y are acting at 120 degrees to each other, if the magnitude are 8N and 10N respectively determine their resultant​

Answers

The resultant force of both forces is 15.62 N.

What is resultant?

The Resultant of forces is a single force obtained when two or more forces are combined.

To calculate the resultant of the force, we use the formula below.

Formula:

R = √[a²+b²-2abcos∅]..................... Equation 1

Where:

R = Resultant of the forces.∅ = Angle between both forces

From the question,

Given:

a = 8 Nb = 10 N

Substitute these values into equation 1

R = √[8²+10²-2×8×10cos120°]R = √[64+100-160cos120°]R =√ [164-160(-0.5)]R = √[164+80]R = √(244)R = 15.62 N

Hence, the resultant force of both forces is 15.62 N.

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Using the parallelogram law of vectors to obtain the resultant, we have the value 16 N.

What is the resultant force?

The resultant force is that force that has the same effect in magnitude and direction as two forces acting together. In this case, we have two forces , 8 N and 10 N inclined at an angle of 120 degrees

Using the parallelogram law of vectors to obtain the resultant;

R = √([8²+10²)-2×8×10cos120°]

R = √164 +80

R = 16 N

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Predict the gravitational force between two 15-kg balls whose centers are 35 m apart.

Answers

[tex]F=G\frac{m_1-m_2}{r^2}[/tex]

[tex]=\frac{(6.67\times10^{-11}N*m/kg^2)(15kg) }{(0.35m)^2}[/tex]

[tex]=1.2\times10^{-7} N[/tex]

Because the weight of one ball is mg = 147 N, the gravitational force between the two balls is [tex]1.2\times10^{-7}N[/tex] or [tex]8.4*10^3[/tex] parts per billion of the  weight.

A wall clock has a second hand 25.0 cm long.
For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Fast car, flat curve.

Part A
What is the radial acceleration of the tip of this hand?
Express your answer in centimeters per second squared.

Answers

The radial acceleration of the tip of this hand is 0.274 cm/s². The answer is expressed in centimeters per second squared.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The radial acceleration of the tip of this hand is found as;

[tex]\rm \omega = \frac{2 \pi}{60} \\\\ a_r= \omega^2r\\\\ a= (\frac{2\pi}{60} )^2\times 25\\\\a=0.274 \ cm/s^2[/tex]

Hence,the radial acceleration of the tip of this hand is 0.274 cm/s²

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differentiate between electrolytic and metallic conductors.[tex] \\ [/tex]ty! ~ How are meiosis and mitosis different? The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1). Find the coordinates of the image after a dilation with respectto the origin using a scale factor of 2 and then a translation 2 units left and 1 unit up.A" (). B" (). c" () In which number does the digit 1 have a value that is ten times as great as the value of the digit 1 in the number 215,784? Figure BORT- Figure XZGJ. What are the pairs of congruent angles? write the next whole number after 123four in the base four system Please, How do you answer summary questions? Jack walked up a hill at a speed of $(x^2-11x-22)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2-3x-54)$ miles in $(x 6)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour An equation was used to predict possible weights of puppies at 6 months of age. The actual weights of the puppies are also listed.Actual weight (ounces) 9 15 16 20 20 26Predicted weight (ounces) 9 12 15 18 21 24The sum of the residuals is ______. 0 7 9 26 Read this line from the last stanza from "A Poison Tree."When the night had veiled the pole;What is the meaning of the figurative language in this line?The night is dark because it is veiled in misty fog.The darkened sky conceals the stars and the moon.The dark night hides the pole, or North star.A veiled cloud cover makes the night very dark. Based on Charles's law, which of the following statements is true for an ideal gas at a constant pressure and mole amount?The number of collisions is independent of volume.The number of collisions decreases with increase in volume.Volume is directly proportional to absolute temperature.Volume is inversely proportional to absolute temperature. 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This type of memory is known as ___________ memory.The three processes performed by memory are ___________, ___________, and ___________.The type of memory that can store only a limited number of items is ___________ (short-term, long-term) memory.The process of grouping items together to help remember them is called ___________.If you were around when an airplane caught fire and crashed to the ground, your memory of that event would probably be a/an ___________ memory.Information in long-term memory is organized according to a/an ___________.The memory task you would use while taking a multiple-choice exam is ___________.A device to assist memory is called a/an ___________. Weather and climate are different because _____.weather is less predictable while climate is predictableweather is averaged over 30 yrs while climate is daily conditionsweather changes have a global impact while climate changes have a local impact Marco's living room is 4 meters wide and 6 meters long. He wants to install white carpet that costs $8.91 per square meter. How much will it cost to buy enough carpet for the living room? Which of the following are functions of the skin? help plsI. It protects the bodyII. It help the body keep its balanceIII. It helps the body cool down by releasing heatIV. It collects information from the surroundingsA. I and IIB. II and IIIC. I, II, and IIID. I, III, and IV A major difference between European slavery that developed after the fifteenth century and earlier forms of European slavery was: I wandered lonely as a CloudThat floats on high o'er vales* and hills,When all at once I saw a crowd,A host of golden Daffodils;Beside the Lake, beneath the trees,Fluttering and dancing in the breeze.* O'er vales means "over valleys."-William Wordsworth, "I Wandered Lonely as a Cloud"How does a simile most clearly contribute to the meaning of these lines from"I Wandered Lonely as a Cloud," by William Wordsworth?A. The simile comparing the daffodils to a crowd helps the readercreate a mental picture of a huge number of flowers growingtogether.B. The simile comparing the speaker to a cloud suggests that it wasabout to rain at the moment the poem describes.C. The simile comparing the speaker to a cloud emphasizes the ideathat he was feeling detached from the world when he saw thedaffodils.D. The simile comparing the daffodils to a crowd implies that theexperience of seeing the daffodils was overwhelming for thespeaker.