The nearpoint of an eye is 151 cm. A corrective lens is to be used to allow this eye to clearly focus on objects 25 cm in front of it.
Part 1) What should be the focal length of this lens?
Answer in units of cm.
Part 2) What is the power of the needed corrective lens?Answer in units of diopters.

Answers

Answer 1

Answer:

a) 0.3 m

b) 3.3 diopters

Explanation:

Given that

Object distance is 26cm from the eye.

Image distance is 105 cm

From the above, we will use the formula

1/f = 1/v + 1/u

where

f is the focal length of the lens,

v is the image distance,

u is the object distance.

Since the image is a virtual image, we will give our v a negative sign. So, on calculating, we have

1/f = 1/25 - 1/151

1/f = 0.0333

f = 1/0.0333

f = 30.03 cm

f = 0.3 m

b) The power of the needed corrective lens is the reciprocal of the focal length in metres;

1/0.3 = 3.3 diopters

This is usually in diopters


Related Questions

Three polarizing filters are shown in the figure below. The alignment of each filterâs transmission axis is shown, as measured from the vertical. Show calculations to justify all of your answers.Angles: 0, 70, and 90a. Unpolarized light, with an intensity I0 passes through the three filters. What is the intensity of the transmitted light?b. Vertically polarized light, with an intensity I0 passes through the three filters. What is the intensity of the transmitted light?c. Is it possible to remove a polarizer from this collection of filters so that unpolarized light transmitted from the left is not transmitted at all? If so, which filter?

Answers

Answer: B.

Explanation:

Hope help :p

A) The intensity of the transmitted light will depend on the angle between the polarization direction of the incident light and the transmission axis of each filter.

B) The intensity of the transmitted light will be equal to the initial intensity, I0.

C) The filter that blocks light vibrating perpendicular to its transmission axis is typically called a "crossed" polarizer.

Polarizing filters are optical devices that allow light waves vibrating in a specific direction to pass through while blocking or attenuating light waves vibrating in other directions. The alignment of a polarizing filter's transmission axis refers to the direction in which it allows light to pass through with maximum intensity.

a. Unpolarized light passing through a polarizing filter will have its intensity reduced by a factor called the transmittance, which depends on the angle between the polarization direction of the incident light and the transmission axis of the filter. If the incident light is unpolarized, it contains an equal distribution of light waves vibrating in all possible directions.

As a result, when unpolarized light passes through a polarizing filter, only the component of light vibrating parallel to the transmission axis will be transmitted, while the perpendicular components will be blocked. Therefore, the intensity of the transmitted light will depend on the angle between the polarization direction of the incident light and the transmission axis of each filter.

b. Vertically polarized light has its electric field oscillating only in the vertical direction. When vertically polarized light passes through a polarizing filter whose transmission axis is aligned with the vertical direction, it will pass through with maximum intensity. Therefore, the intensity of the transmitted light will be equal to the initial intensity, I0.

c. In general, if you have a collection of polarizing filters with different transmission axes, it is possible to remove a polarizer so that unpolarized light transmitted from the left is not transmitted at all. This can be achieved by removing the filter whose transmission axis is perpendicular to the direction of polarization of the incident light. The filter that blocks light vibrating perpendicular to its transmission axis is typically called a "crossed" polarizer.

Specific calculations and analysis of the figure you provided would require more detailed information, such as the transmittance characteristics of each filter at different angles. Without the figure or additional data, it is not possible to provide precise calculations or identify the exact filter that should be removed to block unpolarized light.

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How are all paths that have a displacement of zero similar?

Answers

Answer:

Any situation that has a path that stops at the same position that it started from has a displacement of zero

Explanation:

hope it helps

At what final position would you be if you began at initial position of 4m and drove at 30m/s for 20 seconds?

Answers

Answer:

604m

Explanation:

30 * 20=600

600 + 4 = 604m

7.
As the distance from the Sun increases the time to orbit the Sun
a. Increases
b. Decreases
c. Stays the same

Answers

As the distance from the Sun increases the time to orbit the Sun  increases. (a)

Examples:

-- Nearest planet to the sun: Mercury.  Time to orbit the sun: 88 days

-- 3rd planet from the sun:  Earth.  Time to orbit the sun: 1 year

-- 5th planet from the sun:  Jupiter.  Time to orbit the sun: 12 years

-- 9th closest object to the sun:  Pluto.  Time to orbit the sun: 248 years

Another pair of examples:

-- Object in a near Earth orbit:  International Space Station

Time to orbit the Earth:  90 minutes

-- Object in a far Earth orbit:  the Moon

Time to orbit the Earth:  27.3 days

The reason for all of this is:  Two things about orbits.

1).  The larger the orbit is, the farther the object has to travel around it.

2).  The farther out the object is, the slower it travels in its orbit.

This is simply the way gravity works.

When the rate of the forward reaction equals the rate of the backward reaction, the system is said to be in

Answers

Answer:

equilibrium

Explanation:

bcoz forward reaction equals backward reaction

To exercise, a man attaches a 4.0 kg weight to the heel of his foot. When his leg is stretched out before him, what is the torque exerted by the weight about his knee, 40 cm away from the weight? Use g = 10 m/s2. A. 160 Nâm B. 16 Nâm C. 1600 Nâm D. 1.6 Nâm

Answers

Answer:

B. τ = 16 Nm

Explanation:

In order to find the torque exerted by the weight attached to the heel of man's foot, when his leg is stretched out. We use following formula:

τ = Fd

here,

τ = Torque = ?

F = Force exerted by the weight = Weight = mg

F = mg = (4 kg)(10 m/s²) = 40 N

d = distance from knee to weight = 40 cm = 0.4 m

Therefore,

τ = (40 N)(0.4 m)

B. τ = 16 Nm

The torque exerted by the weight about his knee, 40 cm away from the weight is: D. 1.6 Nm

Given the following data:

Mass = 4.0 kgDistance = 40 cm to m = 0.04 metersAcceleration due to gravity (g) = 10 [tex]m/s^2[/tex].

To determine the torque exerted by the weight about his knee, 40 cm away from the weight:

First of all, we would calculate the force being exerted by the weight on his heel.

[tex]Force = mg\\\\Force = 4 \times 10[/tex]

Force = 40 Newton

Mathematically, torque is given by the formula:

[tex]Torque = force \times distance[/tex]

Substituting the given parameters into the formula, we have;

[tex]Torque = 40 \times 0.04[/tex]

Torque = 1.6 Nm

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Rebecca heated 50mL of water from 0 degrees Celsius to 60 degrees Celsius. How much energy did she use to heat the water? Remember: cal=m*deltaT


(WRITE THE WORK!/Give explanation.)

Answers

Answer:

Q = 12540  J

Explanation:

It is given that,

Mass of water, m = 50 mL = 50 g

It is heated from 0 degrees Celsius to 60 degrees Celsius.

We need to find the energy required to heat the water. The formula use to find it as follows :

[tex]Q=mc\Delta T[/tex]

Where c is the specific heat of water, c = 4.18 J/g°C

Put all the values,

[tex]Q=50\times 4.18\times (60-0)\\Q=12540\ J[/tex]

So, 12540 J of energy is used to heat the water.

A metal wire of resistance R is cut into six equal pieces that are then placed together side by side to form a new cable with a length equal to one-sixth the original length. What is the resistance of this new cable?

Answers

Answer:

d ko alam wag puro asa sa app

Calculate the wavelengths of a 1530 kHz AM radio signal, a 105.1 MHz FM radio signal, and a 1.90 GHz cell phone signal.

Answers

Answer:

196.07 m, 2.85 m and 0.15 m

Explanation:

Frequency of AM radio signal, f₁ = 1530 kHz

Its wavelength can be given by :

[tex]\lambda_1=\dfrac{c}{f_1}\\\\=\dfrac{3\times 10^8}{1530\times 10^3}\\\\=196.07\ m[/tex]

Frequency of FM radio signal, f₂ = 105.1 MHz

Its wavelength can be given by :

[tex]\lambda_2=\dfrac{c}{f_2}\\\\=\dfrac{3\times 10^8}{105.1\times 10^6}\\\\=2.85\ m[/tex]

Frequency of cell phone signal, f₃ = 1.9 GHz

Its wavelength can be given by :

[tex]\lambda_2=\dfrac{c}{f_2}\\\\=\dfrac{3\times 10^8}{1.9\times 10^9}\\\\=0.15\ m[/tex]

Hence, the required wavelengths are 196.07 m, 2.85 m and 0.15 m respectively.

Find the magnitude of the buoyant force on the block. The acceleration of gravity is 9.8 m/s 2 . Answer in units of N.

Answers

The answer is 2248.02 N.

HELP!!
You are traveling at a speed of 70 miles per hour. How long did it take you to travel 2400 miles?

Answers

Answer:

So do 2400 divided by 70. I got 34.285714 and the numbers behind the decimal are repeating. If you round it you get 34.3

The pharyngeal tonsil is found in the __________________________ .

Answers

Answer:

The pharyngeal tonsils are located near the opening of the nasal cavity into the pharynx. When these tonsils become enlarged they may interfere with breathing and are called adenoids.

A spring of spring constant 25 N/m is hung vertically and a 0.300 kg mass is attached to one end, causing a displacement of the end of the spring of _____ m.

Answers

Answer:k=1175

Explanation:thank  you for asking

If 3 cups are sitting outside on a hot summer day, which cup will gain the most heat? Cup A starts a little above freezing, Cup B is initially room temperature, and Cup C is just below boiling.
A-Hot
B- Room
C- Cold
D- None, the heat doesn't change​

Answers

Answer:

c- cold

Explanation:

A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 G to 1.60 M in 0.99 s. What is the resulting induced current if the loop has a resistance of 1.20 Ω?

Answers

Complete Question

A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.60 T in 0.99 s. What is the resulting induced current if the loop has a resistance of [tex]1.20 \ \Omega[/tex]

Answer:

The current is   [tex]I = 0.0007 41 \ A[/tex]

Explanation:

From the question we are told that

   The  area is  [tex]A = 8.00 \ cm^2 = 8.0 *10^{-4} \ m^2[/tex]

   The initial magnetic field at [tex]t_o = 0 \ seconds[/tex]  is [tex]B_i = 0.500 \ T[/tex]

   The magnetic field at [tex]t_1 = 0.99 \ seconds[/tex] is  [tex]B_f = 1.60 \ T[/tex]

     The resistance is  [tex]R = 1.20 \ \Omega[/tex]

Generally the induced emf is mathematically represented as

      [tex]\epsilon = A * \frac{B_f - B_i }{ t_f - t_o }[/tex]

=>   [tex]\epsilon = 8.0 *10^{-4} * \frac{1.60 - 0.500 }{ 0.99- 0 }[/tex]

=>   [tex]\epsilon = 0.000889 \ V[/tex]

Generally the current induced is mathematically represented as

     [tex]I = \frac{\epsilon}{R }[/tex]

=>  [tex]I = \frac{0.000889}{ 1.20 }[/tex]  

=>  [tex]I = 0.0007 41 \ A[/tex]  

What is energy?

A. A change that appears in an object when forced is applied.
B. The property of a body that gives it mess.
C. The amount of heat produced by the body.
D. The ability of an object to undergo change.
E. The ability of a body to move.

Answers

Answer:

A

Explanation:

Answer: a or e

Explanation:

A volume of air increases 0.227 m^3 at a net pressure of 2.07 x 10^7 Pa. How much work is done on the air?

Answers

Answer:

The work done on the air is 4.699 x 10⁶ Joules

Explanation:

Given;

increase in air volume, ΔV = 0.227 m³

net pressure of the air, P = 2.07 x 10⁷ Pa

The work done on the air is given by;

W = PΔV

Where;

W is the work done on the air

P is the net pressure

ΔV  is the increase in air volume

Substitute the given values and solve for work done;

W = (2.07 x 10⁷ Pa) (0.227 m³)

W = 4.699 x 10⁶ Joules

Therefore, the work done on the air is 4.699 x 10⁶ Joules

All of the following are categories used to classify problems except problems of
A. arrangement
B. inducing structure
C. transformation
D. schematic completion

Answers

Answer:D. schematic completion

Explanation:The rest are actual categoroes

Answer:

schematic completion

Explanation:

got it right on edge

Data supporting the theory of a round earth was collected as early as _____.
1570 AD by Galileo
1500 AD by Copernicus
250 BC by Aristarchus
1640 AD by Kepler

Answers

250 BC by Aristarchus :)

250 BC by Aristarchus is the answer ot the question

Data supporting the theory of a round earth was collected as early as _____.

1570 AD by Galileo

1500 AD by Copernicus

250 BC by Aristarchus

1640 AD by Kepler

Which of the following substances is a compound?
O A. hydrogen gas
B. nitrogen gas
O c. table sugar
O D. oxygen gas

Answers

C
Sucrose is made of three elements carbon hydrogen and oxygen

Table sugar is a compound, it consists of carbon, hydrogen, and oxygen.

Hence, C is the correct answer.

What is the chemical state of matter?

The chemical state of matter consists :

ElementCompound andMixturesElement-The substance which contains only one atom and cannot be broken down. Example-Hydrogen.Compound-It is defined as a substance formed when two or more chemical elements are chemically bonded together. The substance can be pure or impure.Mixture-It contains two or more elements or compounds, but they are not chemically combined. Mixtures are of two types :Homogeneous mixture and,Heterogeneous mixture

Hence, table sugar is a compound because it is formed by more than 2 chemical elements, and they are chemically bonded together.

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Jeff was riding in a car with a textbook sitting on the seat beside him. When would the textbook demonstrate the GREATEST effect of inertia?
А
When the car makes a sudden stop,
B
When the car changes into another lane.

С
When the car slows down gradually.
D
When the car runs out of gas and rolls to a stop

Answers

The answers A because the book would go flying that is a greater reaction than what it would do with an other option

help asap
How does the scientist know that the substance goes through a change of state during the time period labeled B on the graph?
a.the temperature remains the same
b.the temperature increases gradually
c.the particles start slowing down
d.the particles start moving faster

Answers

Answer:

The answer is A. The temperature remains the same.

What changes occurred when you heated sugar ?


Please help

Test

Answers

When sugar is first heated, it begins to melt. As it melts its color starts to change from white to golden brown, and then to dark brown (if you continue heating it). If you apply heat for even longer, it becomes black and gives off unpleasant fumes.

A 20.0 cm wrench is used to generate a torque at a bolt. A force of 50 N is applied at the end of the wrench at an angle of 60.0 degrees to the wrench. The torque generated at the bolt is A. 4.9 N•m. B. 5.7 N•m. C. 6.0 N•m. D. 7.5 N•m. E. 8.7 N•m.

Answers

Answer:

The correct option is  E

Explanation:

From the question we are told that

   The length of the wrench which is also the radius of the circle made by the wrench  is  [tex]l =r = 20.0 \ cm = 0.2 \ m[/tex]

   The force is  [tex]F = 50 \ N[/tex]

    The angle is  [tex]\theta = 60^o[/tex]

Generally the torque generated by the bolt is mathematically represented as

     [tex]\tau = F * sin (\theta ) * r[/tex]

=>  [tex]\tau = 50 * sin (60 ) * 0.2[/tex]

=>  [tex]\tau = 8.7 \ N \cdot m[/tex]

A 4 kilogram box is at rest on a frictionless floor. A net force of 12 newtons acts on it. What is the acceleration of the box?

Answers

Answer:

3 m/s^2

Explanation:

Step one:

given

Mass m= 4kg

Force F= 12N

Required

Acceleration the relation between force, acceleration, and mass is Newton's first equation of motion, which says a body will continue to be at rest or uniform motion unless acted upon by an external force

F=ma

a=F/m

a=12/4

a=3 m/s^2

Rain drops are formed when water vapor _____.

condenses on grass
evaporates
condenses on dust
freezes

Answers

Answer:

Condenses on dust

Explanation:

Pls brainiest

Answer:

condenses on dust

Explanation:

Emmett is lifting a box vertically. Which forces are necessary for calculating the total force?

Fp, Ff, and Fg
Fp and FN
Fp, Fg, and Ff
Fp and Fg

Answers

Answer:

Answer is D: D.Fp and Fg

Explanation:

I did the quiz some time ago and rember it hope it helps.

Answer:

i just finish its d

Explanation:

if it took 3.7 seconds for the sound to reach john how far away was the firework shell when it exploded in kilometers assume that the speed of sound in air is 1,236 km/h

Answers

Answer:

1.2703 km

Explanation:

The speed can be calculated using the formula;

Speed (m/s) = distance (m) ÷ time (s)

Based on the information in this question, it took 3.7 seconds for a sound with speed of 1236 km/h to reach John. The distance will be:

Distance = speed × time

However, we need to convert the time in seconds (s) to hour (hr).

1 second = 0.000277778 hour

3.7 seconds = 0.00102778 hours.

Hence,

distance = 1236 × 0.00102778

Distance = 1.2703 km

Most generation of electricity involves turning turbines to spin coils of metal. However some do not. Give a type of energy that does not involve spinning coils of metal. How does it generate electricity?

Answers

Answer:

Photovoltaic Energy

Explanation:

There are other forms of energy that do not involve spinning of metals to generate electricity, one of many such is the Solar Photovoltaic Energy.

Photovoltaic is a form of energy in which sunlight Is directly into electricity. This type of energy is often used to power devices such as small wrist watches, rechargeable lamps, and others. They are connected together to panels that are joined together in arrays to power people or heavy power plants. Photovoltaic power plants are happening to be one of the fastest growing sources of electricity generation around the world.

What is the acceleration of a proton moving with a speed of 6.5 m/s at right angles to a magnetic field of 1.5 T?

Answers

Answer:

The acceleration of the proton is 9.353 x 10⁸ m/s²

Explanation:

Given;

speed of the proton, u =  6.5 m/s

magnetic field strength, B = 1.5 T

The force of the proton is given by;

F = ma = qvB(sin90°)

ma = qvB

where;

m is mass of the proton, = 1.67 x 10⁻²⁷ kg

charge of the proton, q = 1.602 x 10⁻¹⁹ C

The acceleration of the proton is given by;

[tex]a = \frac{qvB}{m}\\\\a = \frac{(1.602*10^{-19})(6.5)(1.5)}{1.67*10^{-27}}\\\\a = 9.353*10^8 \ m/s^2[/tex]

Therefore, the acceleration of the proton is 9.353 x 10⁸ m/s²

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