Out of the energy sources listed, oil shale rock has the lowest net energy yield. Net energy yield refers to the amount of usable energy produced from a source after accounting for the energy required for extraction, processing, and distribution.
Oil shale rock is a sedimentary rock containing a mixture of organic matter called kerogen, which can be converted into oil or gas through a heating and extraction process.
Compared to other sources such as coal, natural gas, hydroelectric power, and crude oil, oil shale rock requires a more energy-intensive process to extract and convert the kerogen into usable fuel. The extraction process involves mining the rock, transporting it to a processing facility, and heating it to release the hydrocarbons. This method not only consumes a significant amount of energy but also generates considerable environmental impact and waste products.
In contrast, natural gas, coal, and crude oil extraction processes generally require less energy, resulting in higher net energy yields. Hydroelectric power, a renewable energy source, harnesses the energy of flowing water to generate electricity, typically offering an even higher net energy yield with minimal environmental impact.
In summary, oil shale rock provides the lowest net energy yield among the options, due to the energy-intensive extraction and processing methods involved in converting kerogen into usable fuel.
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A toy remote car drives in a circle. It makes 2 revolutions in 20 seconds. What is the period of the object?
Answer:
T = 10 seconds
Explanation:
Given that,
A remote car makes 2 revolutions in 20 seconds.
We need to find the period of the object.
It means, it will make \(\dfrac{2}{20}=0.1\ \text{revolutions/second}\) .
lt T be the period of the object. So,
\(T=\dfrac{1}{0.1}\\\\T=10\ s\)
It will take 10 seconds for one revolution.
how many ml in an oz
An oz, or ounce, is a unit of measurement commonly used in the United States to measure volume or weight. An oz is equal to approximately 29.5735 milliliters (ml). This means that 1 oz is equivalent to 29.5735 ml.
When measuring volume, it's essential to use a precise measurement unit, especially when conversing between different units. In cooking and baking, for example, precise measurements are essential for ensuring that recipes turn out consistently and accurately.
In order to convert ounces to milliliters, you can use a conversion calculator or multiply the number of ounces by 29.5735. For example, if you have 2 oz, you would multiply two by 29.5735 to get 59.147 ml.
It's also worth noting that there are different types of ounces, including fluid ounces and ounces used for weight measurement. It's important to use the correct type of ounce for your measurement.
In conclusion, an oz is equal to approximately 29.5735 ml, making it easy to convert ounces to milliliters by using a conversion calculator or by multiplying the number of ounces by 29.5735. When measuring volume or weight, it's important to use the correct type of ounce and to be precise with your measurements.
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What is the effect on the speed of a fighter plane chasing another when it opens fire? What happens to the speed of pursued plane when it returns the fire?
When the fighter plane opens the fire, its momentum will be in backward direction and its speed decreases.When pursued plan opens fire in backward direction.then the momentum of plane will be in forward direction and its speed increases.
What does Newton's first law of motion imply about an object in motion?A. It will tend to slow down until it comes to rest.B. It will tend to remain at a constant velocity unless acted upon by aforce.C. It will tend to exert a friction force on the air around it.D. It will tend to accelerate until it reaches the speed of light unlessacted upon by a force.
Newton's first law of motion:
Newton's first law of motion states that a body in motion tends to remain in motion at a constant velocity unless acted on by a net external force.
Hence, the correct option is (B)
What is the average velocity in the time interval 5 to 6
seconds?
Answer:
The average velocity from 5 to 6 seconds is -27 m/s
two bullets have masses of 0.004 kg and 0.008 kg, respectively. Both are fired with a speed of 60.0 m/s. which bullet has more kinetic energy?
Answer:
eah
I don't believe in destiny
I just do what's best for me
Don't listen to my enemies
They're just full of jealousy
Duh
This legacy
You gon see what's left of me
You gon see success in me
You ain't seen the rest of me
I just wanna be the best at what I know
Better than the rest just watch me grow
Put me to the test and watch me go
This is my quest, I'ma make it known
They call me obsessive, oh I know
Call me selective with my notes
Call me agressive with my flow
Call me offensive even though
Explanation:
Question 4 of 5
Which of Jupiter's moons has a very large number of active volcanoes?
A. Europa
B. Callisto
C. lo
D. Ganymede
SUOMI
Answer:
moon lo
Explanation:
It is the most volcanically active world in the solar system.
Atom A has an atomic number of 19 and a mass number of 40. Atom B has an atomic number of 20 and a mass number of 40. Which of these is an accurate statement?
A) Atom A has more protons than Atom B.
B) Atom A has one less proton and one more neutron than Atom B.
C) Atom A has an extra nucleon compared to Atom B.
D) Atom A has one more proton and one more electron than Atom B
Answer:
B
Explanation:
Sphere B of charge +8q is at a distance a to the left of sphere A, and sphere C of charge +2q is to the right of sphere A.
What must be the distance from sphere A to sphere C on the right such that the original small sphere remains at rest?
Answer:
The distance from sphere A to sphere C on the right such that the original small sphere remains at rest is a/2
Explanation:
The force of a charge at a point is given as follows;
From an online source, we have;
E₁ + E₂ = 0
The electric field due to the sphere B of charge +8q = E₁
\(E_1 = \dfrac{k \cdot (8 \cdot Q)}{a^2}\)
The position of the sphere B = A distance 'a' to the left of 'A'
The electric field due to the sphere C of charge +2q = E₂
The position of the sphere C = A distance to the right of 'A'
Therefore, for the electric field strength of sphere 'B' at 'A', we have;
\(E_1 = \dfrac{k \cdot (8 \cdot Q)}{a^2} = 4 \times \dfrac{k \cdot (2 \cdot Q)}{a^2}\)
Let 'x' be the distance of the +2q charge to the right of 'A', we have;
\(E_2 = \dfrac{k \cdot (2 \cdot Q)}{x^2}\)
Therefore, for the force of the +2q charge to balance the +8q charge at C, we have;
\(\dfrac{k \cdot (2 \cdot Q)}{x^2} = \dfrac{k \cdot (8 \cdot Q)}{a^2} = 4 \times \dfrac{k \cdot (2 \cdot Q)}{a^2}\)
\(\therefore \ \dfrac{1}{x^2} = \dfrac{4}{a^2}\)
\(\therefore \ \sqrt{ \dfrac{1}{x^2} }= \sqrt{\dfrac{4}{a^2}}\)
\(\dfrac{1}{x} = \dfrac{2}{a}\)
\(x= \dfrac{a}{2}\)
Therefore, the distance, 'x', from sphere A to sphere C on the right such that the original small sphere remains at rest is x = a/2.
Which law of motion states that for every action, there is an equal and opposite reaction?
a. Law of Inertia
b. Law of Interaction
c. Law of Acceleration
d. Law of Gravitation
Answer:
\(\huge\boxed{\sf Law \ of \ Interaction}\)
Explanation:
Newton's Third Law of Motion States that:
"For every action, there is a reaction which is equal in magnitude but opposite in direction."
Newton's third law is also called "Law of Interaction".
Hope this helped!
~AnonymousHelper1807Explanation:
The law of Interaction
which factors affect the strength of magnetic field around current carrying wire?
Explanation:
The expression for the magnetic field around the current carrying wire is given by :
\(B=\dfrac{\mu_o I}{2\pi r}\)
Here,
I is electric current and r is distance from the wire.
The factors affect the strength of magnetic field around current carrying wire are :
Electric currentDistance from wireHow many pascals is a kilopascal equal to?
1,000 pascals is equal to 1 kilopascal.
To convert kilopascal to pascals, multiply by 1,000. To convert pascal to kilopascal, divide by 1,000.
Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at _____ or hotter:
135°F (57°C)
140°F (60°C)
155°F (68°C)
165°F (74°C)
Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at 140°F (60°C) or hotter. The correct answer is 140°F (60°C).
Food safety is a crucial aspect of any foodservice operation. Keeping hot correct food temperatures is essential in preventing the growth of harmful bacteria. The temperature range of 140°F (60°C) to 165°F (74°C) is considered the "danger zone" for hot foods, as this range allows bacteria to grow rapidly.
Therefore, equipment such as chafing dishes, steam tables, and heated cabinets designed to hold hot foods should maintain a minimum temperature of 140°F (60°C) or hotter.
This ensures that the food remains safe to eat and reduces the risk of foodborne illness. It is also important to check the temperature of the food regularly using a thermometer to ensure that it is being held at the correct temperature.
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A ray of light hits a plane mirror 35 degrees from the normal. What is the angle of reflection?
ANSWER
\(\begin{equation*} 35\degree \end{equation*}\)EXPLANATION
We want to find the angle of reflection of the ray of light.
According to the law of reflection, the angle of reflection must be equal to the angle of incidence of a ray of light:
\(\theta_r=\theta_i\)Therefore, the angle of reflection of the ray of light is:
\(\theta_r=\theta_i=35\degree\)That is the answer.
matlab questions help
QUESTION 5 Which of the following methods is used to repeat the same sound clip, one after another? O Add the sound sample arrays O Multiply the sound sample arrays by a scalar value less than 1 O Con
To repeat the same sound clip one after another, the method used is to concatenate the sound sample arrays. By concatenating the sound sample arrays, you create a new array that contains multiple copies of the original sound clip, effectively repeating it one after another. Therefore the correct option is b. Multiply the sound sample arrays by a scalar value less than 1.
When you want to repeat the same sound clip, one after another, you can achieve this by concatenating the sound sample arrays. Here's a step-by-step explanation:
1. Load the sound clip into MATLAB and convert it into a sound sample array.
2. Determine the number of times you want to repeat the sound clip.
3. Use the concatenation operator `[ ]` to join the sound sample arrays together.
4. Repeat the sound sample array as many times as desired by appending it to itself using the concatenation operator. For example, if you want to repeat the sound clip three times, you would write `[soundClip, soundClip, soundClip]`.
5. Store the concatenated sound sample array in a new variable.
6. If needed, you can then play the repeated sound clip using the `sound()` function in MATLAB.
By concatenating the sound sample arrays, you create a new array that contains multiple copies of the original sound clip, effectively repeating it one after another.
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differentiate between positive charge and negative charge.
Answer: Any particle, whether an atom, molecule or ion, that contains less electrons than protons is said to be positively charged. Conversely, any particle that contains more electrons than protons is said to be negatively charged.
Explanation: If there are more electrons than protons in a piece of matter, it will have a negative charge, if there are fewer it will have a positive charge, and if there are equal numbers it will be neutral.
Hi! Can someone help me figure out the Fg(N) column? I don't know how to plug my information into the formula.
The gravitational force (Fg) for the first column is 1.96 x 10⁷ N.
The gravitational force (Fg) for the second column is 2.48 x 10⁷ N.
The gravitational force (Fg) for the third column is 3.24 x 10⁷ N.
The gravitational force (Fg) for the fourth column is 4.4 x 10⁷ N.
The gravitational force (Fg) for the fifth column is 6.36 x 10⁷ N.
The gravitational force (Fg) for the sixth column is 9.94 x 10⁷ N.
The gravitational force (Fg) for the seventh column is 1.77 x 10⁸ N.
What is Newton's law of universal gravitation?
Newton's law of universal gravitation states that every two objects in the universe attracts each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between the masses.
F = Gm₁m₂/r²
F = (Gm₁m₂) x 1/r²
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectG is universal gravitation constantr is the distance between the two massesThe gravitational force (Fg) for the first column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = (6.626 x 10⁻¹¹ x 4 x 10⁹ x 6 x 10⁹) x 1/r²
Fg = 1.59 x 10⁹ x 0.0123
Fg = 1.96 x 10⁷ N
The gravitational force (Fg) for the second column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = 1.59 x 10⁹ x 0.0156
Fg = 2.48 x 10⁷ N
The gravitational force (Fg) for the third column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = 1.59 x 10⁹ x 0.0204
Fg = 3.24 x 10⁷ N
The gravitational force (Fg) for the fourth column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = 1.59 x 10⁹ x 0.0277
Fg = 4.4 x 10⁷ N
The gravitational force (Fg) for the fifth column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = 1.59 x 10⁹ x 0.0400
Fg = 6.36 x 10⁷ N
The gravitational force (Fg) for the sixth column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = 1.59 x 10⁹ x 0.0625
Fg = 9.94 x 10⁷ N
The gravitational force (Fg) for the seventh column is calculated as;
Fg = (Gm₁m₂) x 1/r²
Fg = 1.59 x 10⁹ x 0.1111
Fg = 1.77 x 10⁸ N
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A conducting bar moves along a circuit with a
constant velocity. A constant magnetic field of
1.23 T is perpendicular to the bar and circuit.
The bar covers 2.00 m2 of area in
1.00 second. What is the EMF
induced in the circuit?
[?] V
Explanation:
\(E = \frac{BA}{t} \sin( \theta) \\ = \frac{1.23 \times 2}{1} \\ = 2.46 \: V\)
Blake stands in a canoe in the middle of a lake. The canoe is stationary. Blake holds an anchor mass of 15 kg, then throws it west with a speed of 8 m/s. Blake and the canoe have a combined mass of 135 kg.
a. the system is defined as Blake, the canoe, and the anchor. What is the total momentum of the system before he throws the anchor?
b. what is the total momentum of the system after he throws the anchor?
c. what is the velocity of the canoe after he throws the anchor?
The velocity of the canoe is 1.7 m/s.
What is momentum?Momentum in physics is the products of mass and velocity. Now we have to find momentum with the formula; p = mv
a) Initial momentum = (15)8 m/s + 135 = 255 Kgms-1
b) Since momentum is conserved, the total momentum after throwing the anchor is still 255 Kgms-1
c) The final velocity of the boat is obtained from;
255 Kgms-1 = (15Kg + 135 Kg) v
v = 255 Kgms-1/(15Kg + 135 Kg)
v = 1.7 m/s
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Describe the following briefly:
(i) Discounted Payback period and Benefit/Cost ratio (ii) Elements of Book-keeping & Profit and Loss account
(iii) Identify some common important Finance ratios (iv) BFD, PFD & PID (v) Gantt Chart (vi) Ethics & Professionalism (vii) Heuristics for Storage Vessels and Pressure Vessels (viii) Heuristics for Reactors and Heat Exchangers (ix) Heuristics of Distillation and Absorption Towers
DPP is a method of capital budgeting. It is the length of time required to recover the initial cash outflow discounted at a specific interest rate.
(i) Discounted Payback Period (DPP): It is a method of capital budgeting. It is the length of time required to recover the initial cash outflow discounted at a specific interest rate. Benefit/Cost Ratio (BCR): It is the ratio of the present value of benefits to the present value of costs. It is used in cost-benefit analysis to identify whether a proposed project or investment is feasible.
(ii) Elements of Bookkeeping: Cash book, purchase book, sales book, journal, ledger. Profit and Loss Account: It is an account that records a company's profits and losses for a specific period of time.
(iii) Common important finance ratios are: Current Ratio, Quick Ratio, Debt-Equity Ratio, Inventory Turnover Ratio, Debt-Service Coverage Ratio.
(iv) BFD, PFD & PID: Block Flow Diagram (BFD), Process Flow Diagram (PFD), and Piping and Instrumentation Diagram (PID) are used to illustrate the process flow.
(v) Gantt Chart: A Gantt chart is a project management tool that uses horizontal bars to represent the duration of tasks or activities in a project.
(vi) Ethics & Professionalism: Ethics and professionalism are the practices that professionals in a particular field must adhere to. It includes the principles of honesty, transparency, fairness, and accountability.
(vii) Heuristics for Storage Vessels and Pressure Vessels: Heuristics for storage vessels and pressure vessels include choosing the correct diameter to height ratio, selecting the right material of construction, designing suitable supports, and selecting appropriate insulation.
(viii) Heuristics for Reactors and Heat Exchangers: Heuristics for reactors and heat exchangers include determining the appropriate size and shape, selecting the right material of construction, and designing suitable internals.
(ix) Heuristics of Distillation and Absorption Towers: Heuristics for distillation and absorption towers include choosing the correct column diameter, selecting appropriate packing materials, and designing suitable feed locations.
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IS IT right to the left a b c d
Answer:
c ok
Explanation: right?
Answer:
16
Explanation:
find the wavelength of the three longest-wavelength lines of the lyman series.
The Lyman series is a series of lines in the emission spectrum of hydrogen that corresponds to transitions from higher energy levels to the n = 1 level. The formula for the wavelengths of the lines in the Lyman series is given by:
1/λ = R (1 - 1/n^2)
Where λ is the wavelength of the line, R is the Rydberg constant (1.097 × 10^7 m^-1), and n is an integer greater than 1 that corresponds to the energy level of the electron before the transition.
To find the three longest-wavelength lines in the Lyman series, we need to plug in values of n and solve for λ, and then arrange the wavelengths in decreasing order.
When n = 2:
1/λ = R (1 - 1/2^2) = 3R/4
λ = 4/3R = 121.6 nm
When n = 3:
1/λ = R (1 - 1/3^2) = 8R/9
λ = 9/8R = 102.6 nm
When n = 4:
1/λ = R (1 - 1/4^2) = 15R/16
λ = 16/15R = 97.3 nm
Therefore, the three longest-wavelength lines in the Lyman series have wavelengths of 121.6 nm, 102.6 nm, and 97.3 nm, in decreasing order.
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Shortlest wavelength?
one end of a horizontal spring(k=80N/m)is held fixed while an external force is applied to the free end,stretching it slowly from×1=o to ×2=4cm.what is work done by the applied force on the spring
Answer:
6.4 Joules
Explanation:
For springs, Hooke's law states that;
F = ke
where F is a force applied, e is the extension and k is the spring constant.
Work done in a spring is the same as the potential energy stored in the spring. So that;
Work done = \(\frac{1}{2}\) k\(e^{2}\)
e = \(x_{2}\) - \(x_{1}\)
\(x_{2}\) = 4 cm = 0.4 m
\(x_{1}\) = 0
So that,
\(x_{2}\) - \(x_{1}\) = 0.4 m
Thus,
Work done = \(\frac{1}{2}\) x 80 x \((0.4)^{2}\)
= 40 x 0.16
= 6.4
Work done = 6.4 J
The work done by the force on the spring is 6.4 Joules.
suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). what is its inside radius (in cm) if it holds 310 g of coffee when filled to a depth of 5.00 cm? assume coffee has the same density as water.
The inside radius of the coffee mug is approximately 3.31 cm.
To find the inside radius of the coffee mug, you can follow these steps:
1. Determine the volume of the coffee: Since the density of coffee is the same as water, we can use the density of water (1 g/cm³) and the mass of coffee (310 g) to find the volume using the formula: volume = mass/density, which gives us 310 cm³.
2. Calculate the volume of a cylinder: The coffee mug can be treated as a cylinder with height (depth) of 5.00 cm. The formula for the volume of cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
3. Solve for the radius: Substitute the volume (310 cm³) and height (5.00 cm) into the formula and solve for r: 310 = πr²(5.00). Divide both sides by (5π) to get r² ≈ 19.79. Finally, take the square root of 19.79 to find r ≈ 3.31 cm.
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Surface metal raceways are suitable for use in: ____________
Surface metal raceways are suitable for use in various applications where electrical wiring needs to be protected and organized. Some common applications where surface metal raceways are used include:
1. Commercial buildings: Surface metal raceways are often installed in commercial buildings, such as offices, retail stores, and hospitals, to route electrical wiring along walls and ceilings. They provide a neat and organized appearance while ensuring the safety and protection of the wiring.
2. Industrial settings: Surface metal raceways are suitable for industrial environments where there may be a higher risk of physical damage or exposure to harsh conditions. They can be used to run electrical wiring in factories, warehouses, and manufacturing facilities.
3. Educational institutions: Surface metal raceways are commonly found in schools, colleges, and universities to accommodate electrical wiring for classrooms, laboratories, and other educational spaces.
4. Residential buildings: Surface metal raceways can be used in residential applications where surface-mounted electrical conduit is preferred or required. They can be installed in homes to route wiring along walls and baseboards.
5. Renovation or retrofit projects: Surface metal raceways are often utilized in renovation or retrofit projects where surface-mounted electrical wiring is necessary due to building constraints or design considerations.
It is important to consult local electrical codes and regulations to ensure compliance and safety when using surface metal raceways in specific applications.
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Please help!! I'll give brainliest and this is due tomorrow!!
What are two conservation practices that help prevent wind erosion?
plant barriers and plowed ridges in fields
setting up wind generators that absorb high winds
halting agriculture and planting native species
covering fields with tarps and building wind barriers
Answer:
The answer is building Wind Barriers
The reasoning is because irrigation, if used too much, causes water erosion. Planting crops deeper in the ground would would prevent the plants from being uprooted. Finally, terracing would prevent from run-off eroding the ground away from the plants.
Explanation:
Answer:
plant barriers and plowed ridges in fields
Explanation:
i had this in an exam and it was right!! =]
Can someone answer these questions
I’ll give you brainliest
1. How do YOU think a rocket/space shuttle goes into outer space
2. Newton had 3 laws about motion. Please look up his 3rd one and write it down here.
3. How is this law related to how a rocket/space shuttle goes into outer space
4. What was the purpose of the SpaceX Crew Dragon mission
5. Who were the 2 astronauts involved
6. Where was the spaceX Dragon going
7. Were the takeoff and landing successful
8. How might this mission help future space travel
Answer:
1. Following the recoil principle, rockets use combustion (a controlled explosion) to work against earth's gravitational attraction.
2. A force is a push or a pull that acts upon an object as a results of its interaction with another object. ... These two forces are called action and reaction forces and are the subject of Newton's third law of motion. Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction.
(via physicsclassroom.com)
3. The combustion throws out material with very high momentum and is, physically speaking, the action. In reaction to that that, the rocket moves away from it (upward when in starts and has the action underneath it)
4. To show the world that commercial manned space missions are safely possible. Some may also like the fact that the US can now do, or rather order, manned flights into space without the help of the russian space agency (Roskosmos).
5. Robert Behnken and Douglas Hurley
6. The international space station (ISS)
7. Yes, Stage 1 of the rocket landed on the drone ship. The crew opened the hatch to enter the space station after 21 hours and 39 minutes after the launch from Cape Canaveral.
8. To have private contractors such as SpaceX actively in the field, there are now more interest groups that participate in space travel. And they can interact with other companies as well.
Also, due to Musks dream and efforts of SpaceX, space travel seems to get a lot cheaper.
That might indeed open the way back to the moon and further to the Mars for human space flight.
Governments such as the US planned on such things for decades, but changed plans ever since, and routinely changed leadership and the opinion on what's important.
Now Spaceflights can become less politically motivated and more commercially. That seems to be a more stable way over long periods of time.
(wrote most of it for you myself, even tough I'm not a native English speaker. would really appreciate the brainliest if you appreciate the work)
Answer:
yhgfty
Explanation:
cdfgv
What happens if two sound waves having the same frequency interfere in phase?
A.
The amplitude of the resultant wave is less than the amplitude of the two individual waves.
B.
The amplitude of the resultant wave is greater than the amplitude of either of the two individual waves.
C.
The amplitude of the resultant wave is equal to the mean of the amplitudes of the two individual waves.
D.
The amplitude of the resultant wave is equal to the amplitudes of the two individual waves.
A converging lens forms a real image of an object. if magnification is 2 and the distance between the image and the object is 90.0cm; determine the
(i) Focal length of the lens
(ii) Distance for which the image would be the same size as the object.
(I) The focal length of the lens is 180.0 cm.
(II) The distance for which the image would be the same size as the object is 90.0 cm.
What is the focal length of the lens?We can use the lens equation and the magnification formula to solve for the focal length of the lens and the distance for which the image would be the same size as the object.
The lens equation is:
1/f = 1/do + 1/di
where;
f is the focal length of the lens, do is the distance between the object and the lens, and di is the distance between the image and the lens.We are given that the distance between the image and the object is 90.0 cm and the magnification is 2. The magnification formula is:
m = - di/do
where;
m is the magnification.Substituting these values into the magnification formula, we get:
2 = - di/do
di = -2do
Substituting these values into the lens equation, we get:
1/f = 1/do - 1/2do
Simplifying this equation, we get:
1/f = 1/2do
f = 2do
Substituting the given value of di, we get:
f = 2(-90.0 cm) = -180.0 cm
Since the focal length must be positive for a converging lens, we take the absolute value and get:
f = 180.0 cm
(ii) Distance for which the image would be the same size as the object:
When the image is the same size as the object, the magnification is 1. We can use the magnification formula to solve for the distance di:
m = - di/do
1 = - di/do
di = -do
Substituting the given value of do, we get:
di = -90.0 cm
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