What distance would an object need to be located in front of a converging lens for
the image to be the same size as the object?
Closer than F
Between F and 2F
Beyond 2F
At 2F

Answers

Answer 1

Answer:

2*F

Explanation:

If we put an object of a given size exactly at a distance 2*F from the lens, the virtual image (the image generated by the lens) will be generated at a distance 2*F from the lens and the size will be equal to the size of the real object (but the image will be inverted)

Now let's do the math.

The relation between the distance of the object to the lens O, and the distance between the image and the lens I is:

1/O + 1/I = 1/F

solving for O, we get:

1/O = 1/F - 1/I = (I - F)/(F*I)

O = F*I/(I - F)

Such that the relation between the height of the original object, H and the height of the virtual image H' is:

H/H' =  -I/O

Replacing by O we get:

H/H' = -I/(F*I/(I - F))

If the sizes are equal, then H/H' = - 1  (remember that the image is inverted, thus the sign)

-1 = -I/(F*I/(I - F))

F*I/(I - F) = I

F*I = (I - F)*I

F = (I - F)

F + F = I = 2*F

The distance between the image and the lens is 2*F

O =  F*I/(I - F) = F*2*F/(2*F - F) =  2*F

The object is at a distance 2*F from the lens.


Related Questions

A force transmitted through a string or rope is called what

Answers

Answer:

Tension force

Explanation:

Have a good day :)

Answer:

The tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends.


If I have an unknown quantity of gas at a pressure of 8.5 atm, a volume of
11.6 liters, and a temperature of 43 °C, how many moles of gas do I have?

Answers

Answer:

3.802 moles

Explanation:

P = 8.5 atm

V = 11.6 liters

R = 0.08206

T = 316 K     (273 + 43)

PV = nRT

(8.5)(11.6) = n(0.08206)(316)

---> n = 3.802 moles

Kevin bikes to the pizza place for lunch. He rides 1 km east, 3 km north, 4 km west, and finally 3 km south. What was his displacement?

Answers

Answer:

3km

Explanation:

To get the displacement, we will make use of the expression;

[tex]D = \sqrt{(\sum d_x)^2+(\sum d_y)^2}[/tex]

Taking the sum of the distances along the x;

dx = 1km - 4km

dx = -3km

Taking the sum of the distances along the y axis

dy = 3km - 3km

dy = 0km

Substitute into the formula above;

[tex]R = \sqrt{(-3)^2+(0)^2}\\R = \sqrt{9} \\R = 3km\\[/tex]

Hence his displacement is 3km

Hii!!!
So are like properties of matter different from physical properties?

Because I’m doing an assignment and I’m not so sure!

Answers

Answer:

no

Explanation:

because The properties of matter include any traits that can be measured,

Physical properties can be observed or measured.

no because the properties of matter have to include some type of trait.

Because cosmic distances are so vast, astronomers use light-years as their unit of distance. One light-year is defined as _______________________. The nearest star is a little more than ____ light-years away from us. When we see light from a galaxy 2 million light-years away, it has taken _______________ to reach us. Light from the Sun takes ___________ to reach us.

Answers

Answer:

Because cosmic disaster are so vast, astronomers use light-years as their unit of distance. One light-year is defined as the distance a beam of light travels in one year. The nearest star is a little more than 4.37 light-years away from us. When we see light from a galaxy 2 million light-years away, it has taken 2 million Earth years to reach us. Light from the Sun takes approximately 8.4269 minutes to reach us

Explanation:

i) One light-year is defined as the distance a light beam travels in a time of one Earth year. One light year is equivalent to 6 × 10¹² miles or 9.7 × 10¹² km

ii) The distance to the nearest star =  4.37 light-years

iii) When a star located in a galaxy that is 2.3 million light years away is seen, it has taken 2.3 million light years to reach us

iv) The distance of the Sun to the Earth = 151.58 million kilometers

The speed of light, c = 299792.458 km/s

The time it will take light to reach us from the Sun, 't', is given as follows;

t = 151.58 × 10⁶ km/(299792.458 km/s) ≈ 8.4269 minutes.

A 6,600 kg train car moving at +2.0 m/s bumps into and locks together with one of mass 5,400 kg moving at −3.0 m/s . What is their final velocity?
−1.0 m/s

−0.25 m/s

+0.50 m/s

+2.5 m/s

Answers

Answer:

option B is the correct option

Explanation:

According to momentum conversion,

momentum of one car= 6600×2=13,200kgm/s

momentum of another car=5,400×(-3)=16,200kgm/s

Then,

Momentum of second car-momentum of first car

=16,200-13200

=3000kgm/s

mass of first car -mass of second car

=6600-5400

=600kg

final velocity=3000/600=2.5 m/s

An increase in population growth __________ the need for natural resources for survival.



A. increases
B. decreases
C. prevents
D. has no effect on

Answers

Answer:

A. increases

Explanation:

with more mouths to feed, you need more food, but when your food doesn't increase with your population, then there is a food shortage.

Answer: A. Increases







How are light waves produced

Answers

Answer:

Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it is ordinarily a transverse wave

Explanation:

Answer:

Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it is ordinarily a transverse wave

Explanation:

Please i need the answer ASAP!!!!

Select the correct answer.

Which statement is true according to the kinetic theory?
A.
Only gases show random motion of particles.
B.
Only gases and liquids show random motion of particles.
C.
Solids have a fixed shape, so they do not show random motion of particles.
D.
All states of matter show random motion of particles.

Answers

Answer:

C

Explanation:

Solids particles do not move, only vibratre

nonmetals and metals do different things when it comes to their valence electrons. one seeks to gain and the other lose. which is which?

Answers

Answer:

Nonmetals gain

while metals lose

What type of liquid would never freeze

Answers

Answer:

gas

Explanation:

gasoline will never freeze up

Answer:

Alcohol

Explanation: I'm not sure

Which class of lever has mechanical advantage less than one?
. first class lever
. second class lever
. third class lever​

Answers

Answer:

first class lever

Explanation:

Explanation:

first class lever

hope it is helpful to you

A substance a
wave travels through
is called a(n)


A. Solution
B. Medium
C. Matter
D. Element

B.
C
U
Gas

Answers

Answer:

B. Medium

Explanation:

I don't know how to explain it but I already did this lesson in school

Science
plz help
will give brainlist

Answers

1. It cools and condenses
2. Dew point
3. Clouds
(I’m sorry that’s all I knew)

The SI units for force are what?

Answers

Answer:

The SI unit of force is Newton.

Explanation:

Newton is denoted by N.

Force can be defined as the pull or push which change or try to change the state of a body from motion to rest or rest to motion in a straight line.

a student uses a spring to launch a marble vertically in the air. The mass of the marble is
0.02 kg and when the spring is stretched 0.08 m it exerts a force of 58 N. What is
the maximum height the marble can reach?

Answers

Answer:

the maximum height reached by the marble is 11.84 m.

Explanation:

Given;

mass of the marble, m = 0.02 kg

extension of the string, x = 0.08 m

force applied to the string, F = 58 N

Apply the principle of conservation of energy;

elastic potential energy = gravitational potential energy

¹/₂fx = mgh

[tex]h = \frac{Fx}{2mg} \\\\h = \frac{58 \ \times \ 0.08}{2 \ \times \ 0.02 \ \times \ 9.8} \\\\h = 11.84 \ m[/tex]

Therefore, the maximum height reached by the marble is 11.84 m.

Materials that let light pass through them?

Answers

Answer:

Materials that allow most all light to pass through them are called transparent. Examples of transparent items are glass, water, and air. Those materials that allow some light to pass through them are called translucent and include things like frosted glass and wax paper.

Answer:

They are transparent

Explanation:

Because they simple allow light to pass though instead of obstructing it

The bike you are riding hit a pothole in the street and stops quickly but you fly forward over the handlebars. What law of motion is this?

Answers

Answer: 1 st law of motion

Explanation:

Given

The bike hits the pothole and the driver flies over the handlebar. This can be explained by Newton's first law of motion. This law states that a body in the state of rest or motion will remain in that state unless an external force is applied to it.

Here, the bike instantly comes to rest by contacting the pothole which is at rest. while the driver body continues to move in forward direction and as a result it flies over the handlebars.

What is the voltage across each resistor?

Answers

Answer:

see solution below

Explanation:

The given resistors are connected in series.

Equivalent resistance in series = 30 + 55 + 15

Equivalent resistance in series Rt = 100 ohms

Since the potential difference in the circuit = 36V

Get the current in the circuit first

I = V/Rt

I = 36/100

I = 0.36A

Get the voltage across 30ohms resistor;

V30 = 0.36 * 30

V30  = 10.8volts

Hence the voltage across the 30ohms resistor is 10.8volts

Get the voltage across 55ohms resistor;

V55 = 0.36 * 55

V55  = 19.8volts

Hence the voltage across the 55ohms resistor is 19.8volts

Get the voltage across 15ohms resistor;

V15 = 0.36 * 15

V15  = 5.4volts

Hence the voltage across the 15ohms resistor is 5.4volts

Which characteristics of an area could best identify the type of biome it is

Answers

Answer: average annual rainfall, average annual temperatures, types of plants and animals native to the area

Explanation: the best way you can identify a biome is by telling which animal or species are native to the certain area

An upright object 2.80 cm tall is placed 16.0 cm away from the vertex of a concave mirror with a center of curvature of 24.0 cm. What is the focal length of this mirror?

Answers

Answer:

f = 12 cm

Explanation:

Center of Curvature:

The center of that hollow sphere, whose part is the spherical mirror, is known as the ‘Center of Curvature’ of  mirror.

The Radius of Curvature:

The radius of that hollow sphere, whose part is the spherical mirror, is known as the ‘Radius of Curvature’ of  mirror. It is the distance from pole to the center of curvature.

Focal Length:

The distance between principal focus and pole is called ‘Focal Length’. It is denoted by ‘F’.

The focal length of the spherical (concave) mirror is approximately equal to half of the radius of curvature:

[tex]f = \frac{R}{2}[/tex]

where,

f = focal length = ?

R = Radius of curvature = 24 cm

Therefore,

[tex]f = \frac{24\ cm}{2}[/tex]

f = 12 cm

What is the current in a 110V circuit with resistance is 10Ω?

Answers

Answer:

using V= IR

I= 11Ampere

HELP PLS
In the context of climate change, is “positive feedback” a good thing?

Answers

Climate feedbacks: processes that can either amplify or diminish the effects of climate forcings. A feedback that increases an initial warming is called a "positive feedback." A feedback that reduces an initial warming is a "negative feedback." So I guess it is ?

whoever guesses this will have a new frend

Answers

Answer:

B

Explanation:

Endothermic reactionIn an endothermic reaction, the products are higher in energy than the reactants. Therefore, the change in enthalpy is positive, and heat is absorbed from the surroundings by the reaction.

What types of media can S-waves travel through

Answers

Answer:

The second type of body wave is the S wave or secondary wave, which is the second wave you feel in an earthquake. An S wave is slower than a P wave and can only move through solid rock, not through any liquid medium.

The graph represents the reaction 3H2 + N2 2NH3 as it reaches equilibrium. Based on the graph, which two statements about this reaction are true?
PLEASE NO LINKS OR DOWNLOADS ​

Answers

Answer:A and C

Explanation: I took the test lol

Two statement that are correct based on graph are A, At point 4, the concentration of NH₄, NH₂ and H₂ remain constant, and C, Equilibrium is reached after point 3.

What are graphs?

Graphs are the mathematical representation of the data that is easy to understand.

The reaction is [tex]\rm 3H_2 + N_2= 2NH_3[/tex]

The graph shows time on x-axis and concentration on y-axis.

Thus, the correct options are A and C.

Learn more about graphs

https://brainly.com/question/16608196

#SPJ2

2 mi. ki khni

mene to bhot sari khni likhi he socha ek aap ke liye ​

Answers

Answer:

yah kaya ha pagal ............^,^

HELP ME PLEASE 20 POINTS

Which statement applies only to magnetic force instead of both electric and
magnetic forces?

A. It can push objects apart.

B. It acts between objects that do not touch.

C. It can pull objects together.

D. It acts between a north pole and a south pole.​

Answers

The answer is C. I searched it up and people keep on saying that it's B, which is incorrect. I found another question on Brainly where someone said that C was the answer and the person who asked the question said "Correct, thanks."

BTB is an indicator that reacts with CO2. Based on the data that you collected in this experiment, write a conclusion to the question: Does your body breathe out CO2? State your conclusion clearly, and include the evidence from your experiment that supports it.

Answers

Answer:

Yes.

Explanation:

Yes, our body breathe out carbondioxide gas because carbondioxide gas is a waste product produced by the cells of the body during the process of respiration. The concentration of carbondioxide gas is higher in the body as compared to the outside environment and oxygen concentration is lower inside the body so diffusion occurs between the lungs and environment so the carbondioxide gas releases in the air and oxygen is trapped by the hemoglobin cells.

I NEED THIS DONE ASAP I WILL MARK YOU THE BRAINLIEST BUT NO LINKS
Put the correct terms with the correct pictures

Answers

Answer:

1. Static Friction

2. Sliding friction

3. Fluid friction

4. is rolling friction

Sorry if i am wrong

Explanation:

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