Your television picture is created by 480 horizontal lines of pixels, arranged on a screen of total height h. Assume that your ability to resolve the lines is limited only by the Rayleigh criterion, and that the pupils of your eyes are 5.12 mm in diameter. Beyond a certain distance from the screen D, you won't be able to resolve individual lines of pixels and the TV picture will not appear pointillistic. Calculate this ratio D/h of minimum viewing distance to screen height. Assume that the average wavelength of the light coming from the screen is 537 nm.

Answers

Answer 1

Answer:

Ratio D/h of minimum viewing distance to screen height is 16.28

Explanation:

 Given the data in the question;

Rayleigh criterion sin[tex]\theta[/tex] = 1.22 λ/D

D is diameter (5.12 mm) = 5.12 × 10⁻³

λ is wavelength ( 537 nm) = 537 × 10⁻⁹ m

so we substitute

sin[tex]\theta[/tex] = 1.22 × 537 × 10⁻⁹ / 5.12 × 10⁻³

sin[tex]\theta[/tex]  = 655.14 × 10⁻⁹ / 5.12 × 10⁻³

sin[tex]\theta[/tex] = 0.000127957

[tex]\theta[/tex] = sin⁻¹ ( 0.000127957 )

[tex]\theta[/tex] = 0.007331°

now, tan[tex]\theta[/tex] = y/D

y = h/480

so

tan[tex]\theta[/tex] = h/480 / D

h/D = 480 × tan[tex]\theta[/tex]

D/h = 1 / ( 480 × tan[tex]\theta[/tex] )

we substitute in value of [tex]\theta[/tex]

D/h = 1 / ( 480 × tan( 0.007331° ) )

D/h = 1 / ( 480 × 0.00012795 )

D/h = 1 / 0.061416

D/h = 16.28

Therefore, Ratio D/h of minimum viewing distance to screen height is 16.28


Related Questions

Chlorine gas (Cl2) can be produced using this equilibrium reaction involving gaseous PCl5 and PCl3. Which change would drive this process toward the product side?

PCl5 + energy ⇄ PCl3 + Cl2
A.
Decreasing the temperature
B.
Increasing the pressure
C.
Decreasing the pressure
D.
Removing the PCl5 as it forms

Answers

Answer:

C. Decreasing the pressure

Explanation:

The area of a piston of a force pump is 8 X 10⁴m². What force must be
applied to the piston to raise oil (d = 780 Kg/mº) to a height of 6.0 m? Assume
the upper end of the oil is open to the atmosphere.​

Answers

Answer:

Force of [tex]37.44 * 10^{8}[/tex] Kgm/s^2 must be  applied to the piston to raise oil to a height of 6.0 m

Explanation:

As we know,

Pressure is the force per unit area

Or [tex]P = \frac{F}{A}[/tex]

Force [tex]= P * A[/tex]

Pressure is the product of density, gravitational constant and height

[tex]P = 780 * 10 * 6[/tex]

Force

[tex]= P * A\\= 780 * 10*6*8*10^4\\= 37.44 * 10^{8}[/tex]Kgm/s^2

The force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N. Force is defined as the ratio of presure and area. Its unit is Newton.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

The given data in the problem is;

A is the area of a piston = 8 X 10⁴m².

F is the force=?

h is the height = 6.0 m

Force is defined as the ratio of presure and area. Its unit is Newton.

[tex]\rm P = \frac{F}{A} \\\\ \rm F = P \times A \\\\ \rm F = 780 \times 10^6 \times 8 \times 10^4 \\\\ \rm F = 37.44 \times 10^8[/tex]

Hence the force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N.

To learn more about the force refer to the link;

https://brainly.com/question/26115859

List and describe the three elements of language.

Answers

Answer:

the three major elements of language include form, content, and use. form involves three sub-components of syntax, morphology, and phonology. content is also known as semantics and use can be known as pragmatics.

Explanation:

hope this helps! :)

explain the main development stages of the tropical hurricanes/cyclones and discuss their impacts according to the Saffir Simpson Hurricane Wind Scale​

Answers

Answer:

The Saffir-Simpson Hurricane Wind Scale is a 1 to 5 rating based only on a hurricane's maximum sustained wind speed. This scale does not take into account other potentially deadly hazards such as storm surge, rainfall flooding, and tornadoes.

The Saffir-Simpson Hurricane Wind Scale estimates potential property damage. While all hurricanes produce life-threatening winds, hurricanes rated Category 3 and higher are known as major hurricanes*. Major hurricanes can cause devastating to catastrophic wind damage and significant loss of life simply due to the strength of their winds. Hurricanes of all categories can produce deadly storm surge, rain-induced floods, and tornadoes. These hazards require people to take protective action, including evacuating from areas vulnerable to storm surge.

Explanation:

pls mark as branlist.

Tropical hurricanes or cyclones are usually destructive with great wind speeds of 3 and above according to the Saffir Simpson Hurricane Wind Scale with huge amounts of rainfall resulting in flooding.

What is the Saffir Simpson Hurricane Wind Scale?

The Saffir Simpson Hurricane Wind Scale is scale that classifies wind based on wind speed using a scale of 1-5.

This scale does not take into account wind surge, amount of rainfall and other characteristics of storms.

Storms rated 3 and above are particularly strong and destructive.

Those rated below 3 are mild and less destructive.

Tropical hurricanes or cyclones are usually destructive with great wind speeds of 3 and above according to the Saffir Simpson Hurricane Wind Scale with huge amounts of rainfall resulting in flooding.

Learn more about cyclones at: https://brainly.com/question/1222463

Imagine a negative test charge sitting at the coordinate origin (0,0). Two bunches of positive charges are located on the x-axis and the y-axis, respectively, so that the vectors of the respective electric forces, which the test charge experiences, point from the origin at points (1,0) and (0,1), respectively. The total force vector, which the test charge experiences, points from the origin at the point __________

Answers

Answer:

the total force vector, on test charge is points from origin to point C( 1, 1 )

Explanation:

Given the data in the question, as illustrated in the image below;

from the Image, OA = 1, OB = AC = 1

so using Pythagoras theorem

a² = b² + c²

a = √( b² + c² )

so

OC = √( OB² + AC² )

we substitute

OC = √( OA² + AC² )

OC = √( 1² + 1² )

OC = √( 1 + 1 )

OC = √2

Coordinate of C( 1, 1 )

Hence, the total force vector, on test charge is points from origin to point C( 1, 1 )

What do hurricanes, tornadoes, and thunderstorms have in common?
Group of answer choices

cold temperatures

low pressure systems

storm surge

precipitation

Answers

Answer:

low pressure systems

Explanation:

with a low pressure system over the area the storm can't form

Measure the mass of a coin using a triple beam balance.

Answers

Explanation:

The triple beam balance is used to measure masses very precisely; the reading error is 0.05g

Aphids are a type of insects that sucks the sap out of certain types of plants, including potatoes. Not only do they physically damage and weaken the potato plants, but they can also infect them with diseases.

Which of the following examples shows a relationship that is most like that of the aphid and potato plants?

Answer Choices:
A. Crop plants must compete with weeds for available resources like nutrients, water, and space.
B. Anemones protect clownfish from predators while benefiting from nutrients in the waste of the fish.
C. The mistletoe plant attaches to trees and extracts nutrients for itself, which stunts tree growth.
D. Remora fish attach to sharks, eat scraps off the shark's prey, and remove parasites from the shark's skin.

Answers

The aphids suck the sap out of plants & kill or harm them. This is most like C. Mistletoe extracts nutrients from trees & stunt their growth.

The magnetic field strength in an experiment is 5.0 x 10–4 Newtons per Amp meter (or 5.0 x 10–4 N A–1m–1), where the unit of force is the Newton (N = kg m s–2) and the unit of current is the Ampere (A = C s–1). A Coulomb, C, is a unit of charge. The electric field strength in another experiment is 1.8 x 104 N C–1. From these parameters, both the magnetic displacement and the electric displacement were each measured to be 6.0 cm. Calculate the velocity of the particles.

Answers

Answer:

The velocity of the particles is "0.36×10⁸ m/s".

Explanation:

The given values are:

Magnetic field strength,

B = 5.0×10⁻⁴ N/Amp

In another experiment,

F = 1.8×10⁴

By considering the Lorentz force, the velocity will be:

⇒  [tex]qE=qvB[/tex]

then,

⇒  [tex]v=\frac{F}{B}[/tex]

On substituting the given values, we get

⇒     [tex]=\frac{1.8\times 10^4}{5.0\times 10^{-4}}[/tex]

⇒     [tex]=0.36\times 10^8 \ m/s[/tex]

When a man is walking exhibit which type of equilibrium?​

Answers

Answer:

Dynamic equilibrium

Explanation:

This is because dynamic equilibrium is when the body is set on motion at constant velocity. When humans are walking, when achieve unstable equilibrium that is not static or dynamic on the first foot and a non equilibrium when the other foot is involved. In human movement,it is at constant velocity and the Total number of forces acting is zero. This type of equilibrium always return to it's initial point after disturbances since humans did not continually walk all the time .


A skydiver has jumped out of an aircraft but has not yet opened her
parachute.
Which of these statements best describes what is happening?

1. She is pushed towards the Earth by the force of gravity.

2.She is pulled towards the Earth by the force of gravity.

3.She is pulled towards the Earth by air resistance.

4. She is pushed towards the Earth by air resistance.​

Answers

Answer:

2

Explanation:

She's attracted with a great force back to earth's surface

As horizontal force of 90.0N is required to push a 75.0kg along a horizontal surface at a constant

speed. What is the magnitude of the force of friction?if you answer pls show work thank you

Answers

Answer:

90.0N

Explanation:

According to Newtons second law;

F = ma

\sumFx = max

Fm - Ff = max

Given

Moving force Fm = 90.0N

Ff is the frictional force is the mass

ax is the acceleration = 0m/s^2 (constant speed)

Substitute

90 - Ff = 75(0)

90 - Ff = 0

Ff = 90 - 0

Ff = 90.0N

Hence the frictional force is 90.0N

What unit of measure is used to measure temperature?
a. Joules
b. Fahrenheit
c. Meters
d. Liters

Answers

Answer:

B. Fahrenheit measures temperature!

PLEASE HELP ASAP
Name at least two concrete, positive steps you can take to avoid contracting gastroenteritis (in other words, DOs not DON’Ts).

Answers

Answer:

Handwashing with soap has been shown to reduce the risk of gastroenteritis by up to 47%.

Of course, avoiding contaminated foods that could harbor toxic bacteria and parasites is also important.

Explanation:

Here's what I found on the web to further explain and give you more info :) , "Vaccinations are also effective, particularly for rotavirus. The rotavirus The use of clean water and good sanitation practices are important for reducing rates of infectious gastroenteritis.

vaccines have seen a marked decline in the rate and severity of disease in both developing and developed countries.

Oral rehydration is the cornerstone of treatment for those suffering from mild to moderate dehydration. This can be achieved through a solution containing water, salts, and sugar. For severe cases of dehydration, hospitalization and intravenous fluids may be required.

Antibiotics are generally not recommended unless the gastroenteritis is bacterial or parasitic and symptoms are severe.

I hope I helped! :)

Would appreciate Brainliest! ;)

I’m not too sure that there are concrete positive steps you can take to avoid contracting this you can wash fruits and vegetables and avoid sharing eating utensils, vaccinations could also be helpful.

Objects A and B both have mass 2 kg. Object A has temperature 20°C and Object B has temperature 40°C. The specific heat of Object A is larger than that of Object B. The two objects are isolated from the environment and are brought into thermal contact with each other and allowed to come to thermal equilibrium. Is the final temperature of both objects greater than, less than or equal to 30°C? Briefly explain your reasoning.

Answers

Answer:

Equal to 30°C.

Explanation:

The final temperature of both objects are equal to 30°C because of the conduction heat from one object to another. Both objects have same mass of 2 kg and both were isolated from the external environment so conduction of heat occurs from the more hotter body to the less hotter body until the temperature of both objects are equal to each other.

The final temperature of both objects is less than 30° C

What is the specific heat of an Object?

The specific heat of an object is the minimum required quantity of heat needed to raise the temperature of 1 gram of the object(substance) by 1° C.

From the parameters given:

The mass of both Object A and B = 2kgThe temperature of Object A = 20° CThe temperature of Object B = 40° C

Using the Calorimetry principle, we need to understand that the heat lost by an object at a high temperature is proportionally equal to that heat gained by the object at a low temperature.

i.e.

[tex]\mathbf{Q_{lost}= Q_{gain}}[/tex]

[tex]\mathbf{ms_B \Big[40^0 \ C - \theta_o\Big]= ms_A \Big [ \theta_o - 20^0 \ C \Big]}[/tex]

Given that:

The specific heat of object A is larger than that of object B i.e. [tex]\mathbf{S_A> S_B}[/tex]

Then, let us consider a scenario where [tex]\mathbf{S_A = 1.5S_B}[/tex]

Thus;

[tex]\mathbf{S_B \Big[40^0 \ C - \theta_o\Big]= 1.5S_B \Big [ \theta_o - 20^0 \ C \Big]}[/tex]

[tex]\mathbf{40^0 \ C - \theta_o= 1.5 \theta_o - 20^0 \ C}[/tex]

[tex]\mathbf{ 2.5\theta_o= 70^0 \ C}[/tex]

[tex]\mathbf{ \theta_o= \dfrac{70^0 \ C}{2.5}}[/tex]

[tex]\mathbf{ \theta_o=28 ^0 C}[/tex]

Therefore, we can conclude that since the specific heat of object A is larger than that of object B i.e. [tex]\mathbf{S_A> S_B}[/tex], then the final temperature [tex]\mathbf{ \theta_o<30 ^0 C}[/tex]

Learn more about specific heat here:

https://brainly.com/question/16559442

As a pendulum swings from the bottom position to the top position

kinetic energy is changed into potential energy

mechanical energy is changed into radiation

radiation is changed into friction

potential energy is changed into kinetic energy

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Power and Energy.

As a pendulum swings from the bottom position to the top position, it gains a height which means it gains the Potential energy.

hence we can say that, kinetic energy is changed into potential energy.

So, the Option A.) is correct.

Answer:

I think it's A)

Explanation:

it could be wrong i don't know hope it's not good luck!

SOMEONE HELP Jeffery used a stream table as a model to show how water erodes soil. As he sprayed water on the stream table, some of the soil was carried to the end of the table.


Jeffery used his stream table to model an interaction between which two spheres?
A. geosphere and biosphere
B. biosphere and atmosphere
C. hydrosphere and atmosphere
D. geosphere and hydrosphere

Answers

Answer:

Hydrosphere and atmosphere

Explanation:

Which of the following is an example of vibrational kinetic energy?
windmill
heat
pendulum
bouncing ball

Answers

Answer:

It's the Pendulum, it is because during its to and fro motion, it vibrates and simulataneously exhibit kinetic energy.

Explanation:

:)

Answer:

bouncing ball bc it has kinetic energy. the pendulum has potential energy.

Explanation:

Timed plz hurry
Research indicates that individuals experiencing depression often experience anxiety disorders.
Please select the best answer from the choices provided
T/f?

Answers

Answer:

True

Explanation:

Research indicating that individuals experiencing depression often experience anxiety disorders is a true statement.

What is Depression?

This health disorder is characterized by loss of interest in activities as a result of depressed mood.

Individuals who have depression often experience anxiety disorders such as panic attacks etc.

Read more about Depression here https://brainly.com/question/441267

#SPJ2

a wheelbarrow contains two simple machines - a lever and a wheel and ax. for a certain wheelbarrow, the lever has an efficiency of 72%, and the wheel and axle has an efficiency of 64%. what is the overall efficiency of the wheelbarrow?​

Answers

72% + 64%= 136/2 = 68% efficiency

MG
Examine the graphs below.
Ta seconds)
B
Time in seconds
D
Time in seconds)
Time in seconds)
Which of the graphs shows that one of runners started 10 yards further ahead of the
other? Explain your answer.

Answers

Answer:

Where are the graphs

Explanation:

A mechanic pushes perpendicularly on the end of a 0.15m wrench. If the
mechanic applies a force of 230N counter clockwise, what is the torque applied
on the bolt?

Answers

Answer:

τ = 34.5 N.m

Explanation:

The force applied by the mechanic is 230 N.

Thus, F = 230 N

Now, this force is applied in a counterclockwise manner while pushing perpendicularly at the end of the 0.15m long wrench.

Thus, r = 0.15 m

Formula for the torque in this case is;

τ = Fr sin θ

θ = 90° since mechanic pushed perpendicularly.

Thus;

τ = 230 × 0.15 × sin 90

τ = 34.5 N.m

Most individuals over 65 years of age

Answers

Suffer from arthritis
Most people over 65 lead active independent lives. My mother is 88 years old & she drives & is perfectly able to take care of herself except for always wanting someone to help her with her iPad or computer. If that were a choice, I would pick that!

A jogger ran 14.8 miles in 98 minutes what is the joggers speed in miles/minutes

Answers

Answer:

6.621 minutes per mile  

Explanation:

the .621 is repeating

A parallel beam of light falls on two small slits 5x10-5 m apart.
A) If the distance between the central and 1st fringe is 0.06 m and the light is being
projected onto a screen 5 m away, what is the wavelength of the light?
B) Roughly what color is it?

Answers

Answer:

  λ = 6 10⁻⁷ m, color orange

Explanation:

This problem is about the interference phenomenon, constructive interference occurs when the path difference is equal to an integer number of wavelengths

          d sim θ = m λ

Let's use trigonometry, remembering that the angles for these experiments are very small.

          Sin θ = y / L

          tan θ = [tex]\frac{sin \theta}{cos \theta}[/tex] = sin θ

          sin θ = y / L

we substitute

         [tex]d \ \frac{y}{L} = m \lambda[/tex]

A) Donut length is requested

        λ = [tex]\frac{d \ y}{m \ L}[/tex]

let's calculate

        λ = 5 10⁻⁵ 0.06 /( 1  5)

        λ = 6 10⁻⁷ m

B) let's express the wavelength in nm

      λ = 6 10⁻⁷ m = 600 nm

this corresponds to the color orange

Random question, if Tanjoro, Zenitsu, and other Demon Slayers can conjure elements with their swords, then can we do the same?
A) HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH
B) Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)
C) These physics don't match up...
D) Their freakin' anime characters... of course not..

Answers

Answer:

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

Explanation:

-takes some random sword and tries to do water breathing- Nope, doesn't work q-q

Answer:

Explanation: BOTH A AND B

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

 Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)

An ant is crawling on the sidewalk. At one moment, it is moving south a distance of 5.0 mm. It then turns southwest and crawls 4.0 mm. What is the magnitude of the ant’s displacement?
A) 8.3mm
B) 8.3cm
C) 8.3m
D) 8.3km

Answers

The correct answer is (A) 8.3mm.

The total displacement will be the vector sum of the two displacements given in the question.

let the displacement to the south represent vector A = 5mm in magnitude directed toward south.

let the displacement to the south-west represent vector B = 4mm in magnitude directed toward south-west.

The angle between vector A and vector B is 45°, the angle between south and south-west.

SO the resultant

R = vectro A + vector B

[tex]R=\sqrt{A^{2}+B^{2}+2ABcos(45) } \\\\R=\sqrt{25+16+40*\frac{1}{\sqrt{2} } } \\\\R=8.3mm[/tex]

The ant's displacement is 8.3 mm in magnitude.

Learn more about vector addition:

https://brainly.com/question/19420810

A 2500 kg truck traveling at 80.0 km/h comes to stop in a time of 4.25 seconds. What is the force exerted on the truck?

Answers

Answer:

First there is a need to convert 80.0 km/h to m/s. It is equivalent to (200 / 9) m/s. Because the body stops after 4.25 seconds, its acceleration is -(200/9/4.25) m/s^2. The needed force to stop the 2500 kg truck is equal to the product of its mass and its acceleration.

Solving for the net force to stop the 2500 kg truck

Force = mass * acceleration

Force = 2500 kg * -(200/9/4.25) m/s^2

Force = −13072 N or about −13.07 kN

The force exerted on the truck is −13072 N or about −13.07 kN

anatomy of a Wave worksheet can someone help me out with the answers????

Answers

Part 1: here are the answers in order
5
2
1
3
4

please help me with this i dont know it​

Answers

Answer:

no it would not. that is an open circuit and it would need to be closed at the switch for current to flow.

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