At a speed of 20 km/s, it would take the Sun's planetary nebula approximately 7.14 years to reach Neptune's orbit and about 63,442 years to reach the nearest star, Proxima Centauri.
To answer the question, we first need to determine the distances involved. The average distance from the Sun to Neptune is about 4.5 billion kilometers (30.1 astronomical units). The nearest star to the Sun is Proxima Centauri, which is approximately 4.24 light-years away, or about 40 trillion kilometers.
To reach Neptune's orbit, we can use the formula time = distance/speed:
Time = (4.5 billion km) / (20 km/s) ≈ 225 million seconds
Converting to years: 225 million seconds / (60 s/min * 60 min/h * 24 h/day * 365.25 days/year) ≈ 7.14 years
To reach Proxima Centauri:
Time = (40 trillion km) / (20 km/s) ≈ 2 trillion seconds
Converting to years: 2 trillion seconds / (60 s/min * 60 min/h * 24 h/day * 365.25 days/year) ≈ 63,442 years
So, it would take the Sun's planetary nebula approximately 7.14 years to reach Neptune's orbit and about 63,442 years to reach the nearest star, Proxima Centauri, at a speed of 20 km/s.
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Consider a particle constrained to move in the x−y plane. One state the particle can be in has the following wavefunction in the x−y position representation: ψ(x,y)=Nexp{− 2σ 2
x 2
}exp{− 2σ 2
y 2
}, shere N is a normalization coefficient and σ is a length scale. A different possible state has the vavefunction φ(x,y)=Nexp{ ℏ
iay
}exp{− 2σ 2
(x−d) 2
}exp{− 2σ 2
y 2
}. a) For ψ(x,y), give the expectation values ⟨ X
^
⟩,⟨ Y
^
⟩,⟨ P
^
x
⟩, and ⟨ P
^
y
⟩, which correspond to expecation values of the position and momentum operators for the x and y directions. b) For φ(x,y), give the expectation values ⟨ X
^
⟩,⟨ Y
^
⟩,⟨ P
^
x
⟩, and ⟨ P
^
y
⟩.
Expectation value of position in the x-direction, ⟨X^⟩: We apply the position operator, X^, to the wavefunction and integrate:
⟨X^⟩ = ∫ xψ(x, y) dx dy = ∫ xNexp(-2σ^2x^2)exp(-2σ^2y^2) dx dy
To find the expectation values for the position and momentum operators, we need to apply the corresponding operators to the wavefunctions and integrate over the appropriate variables.
a) For the wavefunction ψ(x, y) = Nexp(-2σ^2x^2)exp(-2σ^2y^2):
Expectation value of position in the x-direction, ⟨X^⟩: We apply the position operator, X^, to the wavefunction and integrate:
⟨X^⟩ = ∫ xψ(x, y) dx dy
= ∫ xNexp(-2σ^2x^2)exp(-2σ^2y^2) dx dy
Similarly, we can find the expectation values ⟨Y^⟩, ⟨P^x⟩, and ⟨P^y⟩ by applying the respective operators and integrating over the variables x and y.
b) For the wavefunction φ(x, y) = Nexp(iay)exp(-2σ^2(x-d)^2)exp(-2σ^2y^2):
We follow the same procedure as in part a) to find the expectation values ⟨X^⟩, ⟨Y^⟩, ⟨P^x⟩, and ⟨P^y⟩ for the wavefunction φ(x, y).
The expectation values provide us with information about the average positions and momenta of the particle in the x-y plane for each wavefunction. By calculating these expectation values, we can gain insights into the behavior and properties of the particle in the given states.
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what is the quantum number of an electron confined in a 5.4- nm -long one-dimensional box if the electron's de broglie wavelength is 1.8 nm ?
The calculation produced a non-integer number using the supplied inputs. The values provided may include approximations or rounding mistakes as a result.
How can the de-Broglie wavelength of an electron at a certain speed be determined?The following is a definition of the deBroglie wavelength: Lambda is the Greek letter for wavelength, while h, Planck's constant, m, and v are the particle's mass and velocity.
The following equation describes the energy levels of an electron contained in a one-dimensional box:
E = (n² * h²) / (8 * m * L²)
An electron's de Broglie wavelength is determined by: λ = h / p
The following equation can be used to link an electron's energy and momentum: E = p² / (2 * m)
In the equation above, we can solve for p by inserting the expression for and obtain: p = h / λ
Using this expression as p's replacement in the energy equation, we obtain: E = (n² * h² * λ²) / (8 * m)
The box's length, L, and de Broglie's wavelength,, are both given as 5.4 nm and 1.8 nm, respectively. Planck's constant, h = 6.626 x 10⁻³⁴ J*s, and the mass of an electron, m = 9.1094 x 10⁻³¹ kg, respectively.
In the following equation, we can solve for n by substituting these numbers. The result is:
n = sqrt(8 * m * E) / (h * λ)
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can someone help me plz
Answer:
Positive I believe... because if you drop it it is negative so picking up a book means positive. thanks for the points though!
Explanation:
Can I have brainliest please? <3
This chart lists four examples of two objects that are in contact.
A 3-column table with 4 rows. The first column has entries Example 1, Example 2, Example 3, Example 4. The second column labeled Object 1 has entries fire, a metal at 80 degrees Celsius, the cool ocean, a tool with a lot of thermal energy. The third column labeled Object 2 has entries air, a metal at 12 degrees Celsius, the warm air, a material with little thermal energy.
Which statement accurately describes the flow of heat in each example?
Heat will flow from Object 1 to Object 2 in examples 2 and 4, and heat will flow from Object 2 to Object 1 in examples 1 and 3.
Heat will flow from Object 1 to Object 2 in examples 1 and 3, and heat will flow from Object 2 to Object 1 in examples 2 and 4.
Heat will flow from Object 1 to Object 2 in Example 3, and heat will flow from Object 2 to Object 1 in examples 1, 2, and 4.
Heat will flow from Object 1 to Object 2 in examples 1, 2, and 4, and heat will flow from Object 2 to Object 1 in Example 3.
Answer:
this is the answer........................
The demand for a necessity such as electricity tends to be: inelastic. vertical. unit elastic. D elastic.
The demand for a necessity such as electricity tends to be inelastic. Here's why:Inelastic demand is when changes in price don't affect the quantity demanded as much.
Necessities such as food, water, and electricity often have an inelastic demand, meaning that when the price of the product increases, the quantity demanded does not decrease as much.Explanation:For example, if the cost of electricity increased by 10%, a household might not be able to decrease its use of electricity as much, such as by 10%. The amount of electricity that a household uses might not be affected by price changes because it's a necessity.A vertical demand curve implies that a change in price results in no change in quantity demanded.
Unit elastic refers to a change in price that results in a proportional change in quantity demanded.D elastic refers to the degree of price sensitivity. Demand is said to be elastic when a price change causes a substantial change in demand.
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how many mg of mercury bichloride are needed to make 300 ml of a 1:400 w/v solution?
750 mg of mercury bichloride (HgCl2) are needed to make 300 ml of a 1:400 w/v solution.
To determine the amount of mercury bichloride (HgCl2) needed to make a 1:400 w/v (weight/volume) solution, we need to calculate the mass of HgCl2 required based on the given concentration and volume.
In a 1:400 w/v solution, the ratio indicates that there is 1 gram of solute (HgCl2) dissolved in 400 mL of solution.
First, let's convert the volume to milliliters (ml):
300 ml = 300 ml
Now, we need to calculate the mass of HgCl2 needed:
1 gram HgCl2 is dissolved in 400 mL
x grams HgCl2 is dissolved in 300 mL
To find x (the mass of HgCl2), we can set up a proportion:
1 g / 400 mL = x g / 300 mL
Cross-multiplying:
400x = 1 × 300
400x = 300
x = 300 / 400
x = 0.75 grams
Since the question asks for the amount in milligrams (mg), we can convert grams to milligrams:
0.75 grams = 750 mg
Therefore, 750 mg of mercury bichloride (HgCl2) are needed to make 300 ml of a 1:400 w/v solution.
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g a photon with an energy of 8.61 ev is absorbed by a metal that has a work function of 5.75 ev, resulting in the ejection of an electron. what is the maximum kinetic energy of the electron in ev?
The maximum kinetic energy of the electron in ev is 2.86 ev.
We know the relation between energy, work function and maximum kinetic energy as,
E = W + KE max -----(1)
where, E is the energy absorbed
W is the work function
KE max is the maximum kinetic energy
It is also known as photoelectric equation.
Given that,
E = 8.61 ev
W = 5.75 ev
KE max = ?
By substituting the above values in equation (1), we have
8.61 = 5.75 + KE max
KE max = 2.86 ev
Thus, the maximum kinetic energy of the electron in ev is 2.86 ev.
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compared to a diunsaturated acyl chain of a lipid, a saturated acyl chain possesses how many more total hydrogen atoms?
A diunsaturated acyl chain of a lipid has two double bonds, which means that there are two fewer hydrogen atoms than a saturated acyl chain of the same length.
What occurs in diunsaturated acyl chain?So, a saturated acyl chain possesses 2 more total hydrogen atoms than a diunsaturated acyl chain. For example, an 18-carbon saturated acyl chain has 22 hydrogen atoms, while an 18-carbon diunsaturated acyl chain has 20 hydrogen atoms.
The reason for this is that the double bonds in unsaturated acyl chains prevent the hydrogen atoms from bonding to the carbon atoms. This is because the double bonds have a partial double bond character, which means that the electrons in the bond are shared between the two carbon atoms. This makes the carbon atoms less electronegative, so they are not as attracted to the hydrogen atoms.
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What may also be called breakers? Crusher, Grappler, Hydraulic Hammer, Trencher
a square wave voltage varies between 0 v and 12 v. the positive pulses are 25ms wide and there is a 75ms gap between them. what is the dc average of the waveform?
The DC average of the waveform is 3 V.
How to calculate the dc average of the waveform?
The duty cycle of the square wave is the ratio of the pulse width to the total period of one cycle. The total period is the sum of the pulse width and the gap between pulses.
In this case, the pulse width is 25 ms and the gap between pulses is 75 ms, so the total period is:
Total period = pulse width + gap between pulses = 25 ms + 75 ms = 100 ms
The duty cycle can be calculated as:
Duty cycle = (pulse width / total period) x 100%
Duty cycle = (25 ms / 100 ms) x 100% = 25%
The DC average of the waveform is the average voltage over one cycle. Since the waveform is a square wave that alternates between 0 V and 12 V, the DC average can be calculated as:
DC average = (duty cycle) x (maximum voltage)
DC average = 0.25 x 12 V = 3 V
Therefore, the DC average of the waveform is 3 V.
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80 Points for the first 2 middle school people who answer plus a free brain list
How much does the Earth weigh?
Answer:Earth weighs about 13,170,000,000,000,000,000,000,000 pounds (or 5,974,000,000,000,000,000,000,000 kilograms). Since Earth is too big to be placed on a scale, scientists use mathematics and the laws of gravity to figure out Earth's weight.
Explanation:
Match each vocabulary word with appropriate definition. chemical property chemical change reactivity combustibility
Answer:
1.) Chemical Change - a change in matter that results in a change in its identity and properties
2.) Combustibility - the ability of a substance to burn
3.) Reactivity - The ability of a substance to combine Chemically with another
4.) Chemical Property - the ability of matter to change into a different substance
Explanation:
Proof: -Image Below & the definitions for each word-
Chemical Change- Chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances. ... An example of a chemical change is the reaction between sodium and water to produce sodium hydroxide and hydrogen.
Combustibility- Combustibility is a measure of how easily a substance bursts into flame, through fire or combustion. This is an important property to consider when a substance is used for construction or is being stored. It is also important in processes that produce combustible substances as a by-product.
Reactivity- In chemistry, reactivity is the impetus for which a chemical substance undergoes a chemical reaction, either by itself or with other materials, with an overall release of energy.
Chemical Property- A chemical property is any of a material's properties that becomes evident during, or after, a chemical reaction; that is, any quality that can be established only by changing a substance's chemical identity. ... They can also be useful to identify an unknown substance or to separate or purify it from other substances.
Have a nice day!
Chemical change - A change in a substance that brings a change in its identity and properties
Combustibility - The ability of a substance to bursts into the combustion
Reactivity - The ability of a matter to chemically combine with others.
Chemical Property - The ability of a substance to change into a completely different substance.
What are chemical properties, chemical change, reactivity, and combustibility?Chemical changes take place when a substance combines with another substance to create a new substance, called chemical synthesis. An example of a chemical change is the formation of sodium hydroxide and hydrogen by the reaction between sodium and water.
Combustibility determines how easily a substance can burst into flame, through combustion. The combustibility is a property to consider when a substance is used for storage or for construction. It is also an important property in processes where the formation of combustible substances is a side product.
In chemistry, reactivity is the property of a chemical substance that undergoes a chemical reaction with itself or with other chemicals, and the overall release of energy.
Chemical properties are the characteristics of a particular substance that can be noticed during a chemical reaction. Some major chemical properties include heat of combustion, flammability, rate of radioactive decay, toxicity, pH value, and chemical stability.
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Can some one help me in this one :)
Answer:
The apple
Explanation:
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Basically, the potential energy of any physical object is directly proportional to the mass and height of the object. Thus, an increase in either the mass or height of an object would cause an increase in the potential energy possessed by the object.
Hence, an apple weighing 4 ounces would have more potential energy than a cherry that weighs 1 ounce.
geothermal heat pumps may be used to exploit the temperature difference between the earth's surface and underground in the earth's mantle. T/F
The statement "Geothermal heat pumps may be used to exploit the temperature difference between the earth's surface and underground in the earth's mantle." is True because Geothermal heat pumps utilize the temperature difference between the Earth's surface and the underground
Geothermal heat pumps utilize the temperature difference between the Earth's surface and the underground to provide heating and cooling for buildings. The Earth's crust acts as a natural heat source or heat sink depending on the season.
The temperature of the Earth's surface experiences variations throughout the year due to the changing weather conditions, but at a certain depth, the temperature remains relatively constant. This stable temperature is typically found in the Earth's mantle.
Geothermal heat pumps work by extracting heat from the ground during the winter and transferring it to the building for heating purposes. During the summer, the process is reversed, and heat is extracted from the building and transferred to the cooler ground.
This efficient method takes advantage of the Earth's natural heat storage capacity to provide heating and cooling with reduced energy consumption.
Therefore, it is true that geothermal heat pumps can exploit the temperature difference between the Earth's surface and underground in the Earth's mantle.
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A chemical reaction is the only way to an
A: Element
B: Pure Substance
C: Mixture
D: Solution
Answer:
B: Pure Substance
Explanation:
Once a person passes the age of 65, he or she should stop exercising.
Please select the best answer from the choices provided.
ОТ
OF
Answer: False
People age 65 and older still need exercise. Although the intensity of each workout won't be as high compared to younger ages. Everyone needs exercise to keep their heart healthy, to lower the bad cholesterol, etc.
Answer:
no
Explanation:
very false
How did Asian art start ?
Answer:
The history of Asian art includes a vast range of arts from various cultures, regions and religions across the continent of Asia. ... Central Asian art primarily consists of works by the Turkic peoples of the Eurasian Steppe, while East Asian art includes works from China, Japan, and Korea.
The Evolution of Asian Art
History marks the beginning with Hindu and Buddhist art around the 5th century BCE. These ancient religions were largely represented by an introspective way of life, and their followers adorned their temples with elaborately carved walls and stone statues.
please help I'm stuck on this question
Answer:
increase
decrease
Explanation:
using formula
Vt=mg/6πηr
so if m increases V increases
r is the denominator so if r increases V decreases
An uncharged conductor is supported by an insulating stand i pass a positively charged rod near the left end of the conductor but do not touch it the right end of the conductor will be?
The right end of the conductor will be positive.
What is charging by conduction ?
The charging by induction process is where the charged particle is held near an uncharged conductive material that is grounded on a neutrally charged material. The charge flows between two objects and the uncharged conductive material develop a charge with opposite polarity.
When an uncharged object is placed very close to a charged conductor without touching, the nearer end acquires a charge opposite to the charge on the charged conductors and the two bodies attract. This is called charging by induction. The net charge on the bodies remains the same and body is charged until they are kept close or brought in contact.
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Which is the equivalent of 2000 mm?
a. 200 m b. 2 m c. 0.002 m d. 0.02 m
2000 mm is equivalent to 2 m. This can be derived from the fact that 1 m = 1000 mm. Thus, 2000 mm would be equal to 2 m since it is twice the length of 1000 mm. This conversion is important in various fields such as construction, engineering, and science where precision is necessary.
It is crucial to be able to convert between different units of measurement in order to make accurate calculations and measurements.The millimeter is a unit of length that is often used to measure small distances such as the thickness of a sheet of paper or the size of a small component. It is part of the metric system, which is a system of units used across the world that is based on multiples of 10.
This system makes it easy to convert between different units since it is based on a consistent set of rules.For example, to convert 2000 mm to meters, we can simply divide by 1000 since there are 1000 millimeters in a meter. This gives us 2 meters, which is the equivalent length in meters of 2000 millimeters.
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what can we learn about recent climate change from studying ice cores?
Studying ice cores can provide valuable information about recent climate change. Ice cores are cylinders of ice drilled from glaciers or ice sheets that contain a record of past climate conditions.
Here are some of the key insights that can be gained from studying ice cores:
1. Temperature changes
2. Atmospheric composition
3. Past climate variability
4. Human impacts
1.Temperature changes: The isotopic composition of the ice can reveal changes in temperature over time. By measuring the ratio of heavy and light isotopes of oxygen and hydrogen in the ice, scientists can infer changes in temperature, particularly at high latitudes.
2.Atmospheric composition: Ice cores also contain air bubbles trapped within the ice that provide a record of past atmospheric composition. By analyzing the composition of these bubbles, scientists can determine past levels of greenhouse gases such as carbon dioxide and methane, as well as other atmospheric constituents such as ozone and aerosols.
3.Past climate variability: The layers of ice in a core represent annual accumulation, and can provide information about past climate variability, such as the timing and duration of past glaciations, periods of warming or cooling, and changes in precipitation patterns.
4.Human impacts: Ice cores can also reveal the impact of human activities on the environment, including the effects of pollution, deforestation, and other land-use changes.
By analyzing ice cores, scientists can better understand how the Earth's climate has changed in the past, and how it may continue to change in the future. This information is crucial for predicting and mitigating the impacts of climate change on society and the environment.
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A brass rod at 10.0m melts at 41°C. What will be it's new length at 30°C. Linear expansivity of brass is 2.0*10 raised to the power of -5 per kelvin
Explanation:
To solve this problem, we can use the formula:
ΔL = αLΔT
where ΔL is the change in length, α is the linear expansivity coefficient of brass, L is the original length of the brass rod, and ΔT is the change in temperature.
Given:
α = 2.0 × 10^-5 K^-1 (linear expansivity coefficient of brass)
L = 10.0 m (original length of the brass rod)
ΔT = 41°C - 30°C = 11°C (change in temperature)
Using the formula:
ΔL = αLΔT
ΔL = (2.0 × 10^-5 K^-1) × (10.0 m) × (11°C)
ΔL = 0.0022 m
Therefore, the new length of the brass rod at 30°C will be:
L' = L + ΔL
L' = 10.0 m + 0.0022 m
L' = 10.0022 m
So, the new length of the brass rod at 30°C will be approximately 10.0022 meters.
Two point charges are placed at the following points on the x-axis. +2.0 C at
×=0, -3.0.C at 0.40m. Find the electric field strength at 1.20m?
The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.
To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:
\($$F=k\frac{q_1q_2}{r^2}$$\)
where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:
\($$E=\frac{kq}{r^2}$$\) where k is the Coulomb constant.
So, let's calculate the electric field due to each charge separately and then add them up:
For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)
For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:
\($$E_2=\frac{kq_2}{r^2}\)
\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)
The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.
To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)
Substituting the values of E1 and E2:
\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)
net comes out to be -1.5×10⁴ N/C.
Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.
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A tank is in the shape of an inverted cone, having height h = 3.31 m and base radius r = 0.799 m. of water is poured into the tank at a rate of 11.8 l/s, how long will it take to fill the tank?
A tank is in the shape of an inverted cone, having height h = 3.31 m and base radius r = 0.799 m. of water is poured into the tank at a rate of 11.8 m/s.
It take to fill the tank
Using the similarity of triangles,
\(\frac{0.799}{r} =\frac{3.31}{h} \\r=0.241h\)
Volume of water tank
\(V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \times 3.14\times (0.241h)^2\times h\\V=0.0608h^3\)
When observing visible light through a prism or diffraction grating, how can you tell if a line spectrum is an emission spectrum or an absorption spectrum
When humans pollute lakes, rivers, and streams,
Answer:
when waterways are polluted it affects all forms of life in the area - including us
expression:
for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!
hope that helps !
two pulses on a string are approaching each other at 10 m/s
Two pulses on a string are approaching each other at a velocity of 10 m/s.
When two pulses on a string approach each other at a velocity of 10 m/s, they will undergo a phenomenon known as superposition. As the pulses meet, they will interact, resulting in either constructive interference if their amplitudes add up or destructive interference if their amplitudes cancel out. The specific outcome depends on the phase relationship and shape of the pulses. This interaction between the pulses can lead to interesting wave phenomena, such as the formation of standing waves or wave reflections. The behavior of the pulses upon interaction can be further studied using principles of wave mechanics and wave superposition.
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consider the same balloon as in part d. based on what you learned in the video and your answer to part d, if you assume that your balloon began very tiny and has been expanding at a constant rate, what can you conclude about how long your balloon has been expanding?
Answer:
Your balloon has been expanding for 5 hours.
Explanation:
Your balloon has been expanding for 5 hours.
5. The value of a car decreases by 15% each
year. Estimate the value of a car originally
bought for GH¢6
,000.00, after four years
Answer:
the car is worth $2,400
Explanation:
6000*15%=900
900*4=3600
6000-3600=2400
A lens produces a real image of a real object.
a) Is the image inverted or upright?
b) Is the lens diverging or converging?
c) Is the image enlarged or reduced in size?
d) If two convex lenses identical in size and shape aremanufactured from glass with two different indices of refraction,would the focal length of the lens with the greater index ofrefraction (lens 1) be larger or smaller than that of the otherlens (lens 2)?
The image is inverted, the lens is converging, the image is enlarged in size, the focal length of the lens with the greater index of refraction(lens 1) will be smaller than that of the other lens(lens 2).
A real image is that which can be obtained on the screen whereas a virtual image cannot be. A concave lens always produces virtual image whereas a convex lens can produce both real and virtual image. So the lens is convex lens which is also called converging lens. A converging lens always produces enlarged or the same size image but never produce smaller image. So the image will be enlarged in size.
The refractive index of a glass is the measure of light bending ability of it. Greater the refractive index more will be the bending of a light ray. So, if two convex lenses identical in size and shape are manufactured from glass with two different indices of refraction, the focal length of the lens with greater refractive index would be smaller.
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