Consider the two vectors C⃗→ and D⃗→ defined as follows: C⃗=(2.35,−4.27) and D⃗=(−1.30,−2.21) What is the resultant vector R⃗=C⃗+D⃗? Give the x and y components of R⃗→ separated by a comma.
Answers
The resultant of the two vectors C and D is determined as 6.56.
Resultant of the two vectorsThe resultant of the two vectors is calculated as follows;
Sum of vector in X -direction∑X = 2.35 - 1.3 = 1.05
Sum of vector in Y -direction∑Y = -4.27 - 2.21 = -6.48
Resultant vector = √[(1.05)² + (-6.48)²] = 6.56
Thus, the resultant of the two vectors C and D is determined as 6.56.
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Related Questions
4) A basketball is launched at a velocity of 25 m/s in a direction making an angle of 50° upward with the
horizontal. What is the maximum height reached by the object?
Answers
Answer:
As Per Provided Information
Velocity of projection u is 25m/sAngle made by ball ∅ is 50°We have been asked to determine the maximum height reached by the object .
here we will take acceleration due to gravity g is 9.8 m/s².
For calculating the maximum height attained by the object we will use the following formula .
\( \boxed{\bf \:H_{(max)} \: = \cfrac{u {}^{2} {sin}^{2} \theta }{2g}}\)
Substituting all the value in above equation we obtain
\(\sf \qquad \: \longrightarrow\:H_{(max)} \: = \cfrac{ {25}^{2} {sin}^{2} {50}^{ \circ} }{2 \times 9.8} \\ \\ \\ \sf \qquad \: \longrightarrow\:H_{(max)} = \cfrac{625 \times(0.766) {}^{2} }{19.6} \\ \\ \\ \sf \qquad \: \longrightarrow\:H_{(max)} = \cfrac{625 \times 0.586756}{19.6} \\ \\ \\ \sf \qquad \: \longrightarrow\:H_{(max)} = \cfrac{366.7225}{19.6} \\ \\ \\ \sf \qquad \: \longrightarrow\:H_{(max)} = \cancel \cfrac{366.7225}{19.6} \\ \\ \\ \sf \qquad \: \longrightarrow\:H_{(max)} =18.71 \: m\)
Therefore,
Maximum height reached by the object is 18.71 meters.
What's the difference between the speed and velocity of an object?
question 1 options:
speed refers to the distance an object travels over time, whereas velocity represents the speed only at a given moment.
speed refers to the distance the object travels only, whereas velocity accounts for the acceleration of the object.
speed refers to the distance an object travels per unit of time only, whereas velocity also indicates the direction of travel.
speed accounts for the distance traveled and the direction, whereas velocity considers only the distance traveled per unit of time.
Answers
Answer:
C
Explanation:
velocity is a vector unit, meaning it isn't scalar so also gives direction, same as distance vs. displacement.
Hi can someone help me please ,Let d= 1 for second part
Answers
2)
\(F=2.3097\cdot10^{48}\text{ Newtons}\)Explanation
the electrostatic force between two forces is given by:
\(\begin{gathered} F=k\frac{q_1q_2}{d^2_{}} \\ where\text{ } \\ k\text{ is a constant}(in\text{ this case we n}eed\text{ asume k=1)} \\ q_1\text{ is the charge 1} \\ q_2\text{ is the charge }2 \\ \text{and d is the distance betw}en\text{ them} \end{gathered}\)then, complete the table we need to use this equation
where
\(F=k\frac{q_1q_2}{d^2_{}}\)k, q1 and q2 are ginven in the table, so
Step 1
Let
\(\begin{gathered} charge_1=\frac{1}{4} \\ charge_2=1 \\ \text{distance}=1 \end{gathered}\)so,replace
\(\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{\frac{1}{4}\cdot1}{1_{}}=\frac{1}{4} \end{gathered}\)hence, for tha row
\(\begin{gathered} \frac{1}{4}F_e \\ \end{gathered}\)Step 2
now, do the same for the next Fe, so
b)Let
\(\begin{gathered} charge_1=1 \\ charge_2=\frac{1}{2} \\ \text{distance}=1 \end{gathered}\)so,replace
\(\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{1\cdot\frac{1}{2}}{1_{}}=\frac{1}{2} \end{gathered}\)hence, for tha row
\(\begin{gathered} \frac{1}{2}F_e \\ \end{gathered}\)Step 3
now, do the same for the next Fe, so
c)Let
\(\begin{gathered} charge_1=1 \\ charge_2=\frac{1}{4} \\ \text{distance}=1 \end{gathered}\)so,replace
\(\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{1\cdot\frac{1}{4}}{1_{}}=\frac{1}{4} \end{gathered}\)hence, for that row
\(\begin{gathered} \frac{1}{4}F_e \\ \end{gathered}\)Step 4
now, do the same for the next Fe, so
c)Let
\(\begin{gathered} charge_1=\frac{1}{2} \\ charge_2=\frac{1}{2} \\ \text{distance}=1 \end{gathered}\)so,replace
\(\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{\frac{1}{2}\cdot\frac{1}{2}}{1_{}}=\frac{1}{4} \end{gathered}\)hence, for tha row
\(\begin{gathered} \frac{1}{4}F_e \\ \end{gathered}\)Step 5
now, do the same for the next Fe, so
c)Let
\(\begin{gathered} charge_1=\frac{1}{8} \\ charge_2=\frac{1}{4} \\ \text{distance}=1 \end{gathered}\)so,replace
\(\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=1\frac{\frac{1}{8}\cdot\frac{1}{4}}{1_{}} \\ F=1\frac{\frac{1}{32}}{1_{}}=\frac{1}{32} \end{gathered}\)hence, for that row
\(\begin{gathered} \frac{1}{32}F_e \\ \end{gathered}\)Step 6
find the electrostastic force betweeen electrons
let
\(\begin{gathered} q_1=q_2=-\text{1}.602\cdot10^{19}\text{ C} \\ k=9\cdot10^9\frac{Nm^2}{C^2} \end{gathered}\)as the distance is not give, let's use
distance =1
replace in the formula
\(\begin{gathered} F=k\frac{q_1q_2}{d_{}} \\ F=9\cdot10^9\frac{Nm^2}{C^2}\frac{(^2-\text{1}.602\cdot10^{19}C)}{1_{}} \\ F=2.3097\cdot10^{48}\text{ N} \end{gathered}\)therefore, the electrostaic force is
\(F=2.3097\cdot10^{48}\text{ Newtons}\)I hope this helps you
How much force is needed to accelerate a 100 kg car at a rate of 3 m/s
Answers
100 x 3=300
300N is needed (force is measured in newtons)
What is the average current in the 120 v power line to the house? express your answer to three significant figures and include the appropriate units
Answers
The average current in a 120 V power line to a house is typically around 15 amps, give or take a few amps depending on the power consumption of the household.
The average current in a 120 V power line to a house can vary depending on the power consumption of the household. However, we can use Ohm's law to calculate an estimate of the current. Ohm's law states that current is equal to voltage divided by resistance (I = V/R). In this case, we can assume that the resistance is equal to the resistance of the wiring, which is typically very low.
Using this formula, we can calculate the current as I = 120 V / R. The value of R can vary depending on the size and type of wiring used, but for residential wiring, it is typically around 0.1 ohms.
Therefore, I = 120 V / 0.1 ohms = 1200 amps.
However, it's important to note that this calculation assumes a very low resistance in the wiring and doesn't take into account the actual power consumption of the household. In reality, the current will vary based on the power being consumed by the appliances in the house.
In practice, the current will typically be much lower, usually in the range of 10-20 amps for an average household. It's important to note that the current can still spike much higher than this during power surges or when large appliances are turned on.
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how height does a 2.5 Kg object rises when 255J of work done against gravity A 637.5 B 20.5 C 15m D 10.2 m
Answers
Answer:
D 10.2
Explanation:
255 ÷ 2.5= 10.2 or D
Answer:
D
Explanation:
Work = Mass * Gravity(9.8) * Height
height=work/(mass*9.8)
height=255/(2.5*9.8)=10.4m
The wind exerts a force of 500N, South on a sailboat, while the water exerts a force of100N East on the sailboat.
Answers
Answer:
Net force = 509.90 N
Explanation:
Given that,
Force exerted by wind is 500 N South on a sailboat.
The force exerted by water is 100 N on the sailboat.
Two forces are acting at an angle of 90 degrees. We can find the net force acting on the sailboat. Let it is F.
\(F=\sqrt{500^2+100^2} \\\\=509.90\ N\)
So, the net force on the sailboat is 509.90 N.
which of the following best describes the image produced by a flat mirror?
Answers
The best description of the image produced by a flat mirror is:"The image formed by a flat mirror is virtual, upright, and laterally inverted."
When an object is placed in front of a flat mirror, the mirror reflects the light rays from the object. The reflected rays appear to originate from behind the mirror, creating a virtual image. The image appears upright, meaning it has the same orientation as the object. However, the image is laterally inverted or reversed from left to right compared to the actual object.
The virtual image formed by a flat mirror has the same size as the object, as there is no magnification involved. The image appears to be located the same distance behind the mirror as the object is in front of it.
It is important to note that the image produced by a flat mirror is not formed by the convergence or divergence of light rays but by their reflection.
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Which describes the image distance I for the image produced by a flat plane mirror?
for factors that affect capillarity
Answers
Viscosity of the fluid.
Diameter of the tube.
Overgrazing occurs when farm animals, like cows, sheep, and horses, eat all the plants on an area of land. When all of the plants have been eaten, the soil is left bare as is shown in the picture below.
Since overgrazing removes the plants that help hold the soil in place, overgrazing can cause increased _______.
A.
rainfall
B.
erosion
C.
snow
D.
wind
Answers
Answer:
erosion
Explanation:
because i just got it right on study island
A gold bar contains 63.0 mol of gold, Au(s). How many atoms of gold are in the bar?
Answers
Answer:
63.0 x (6.02 x 10^23) = 3.79 x 10^25 atoms of gold
Explanation:
There are 6.02 x 10^23 representative particles in a mole of any substance. Multiply it by the number of moles, and you will get the number of representative particles (atoms, molecules, formula units)
How could I track my running speed without a car or special equipment?
Answers
Gravity on Jupiter is 25 m/s/s, what is the weight of a 12 kg object on Jupiter?
Answers
Answer:
300 Newtons
Explanation:
Weight is the force of attraction between two bodies, one usually larger (like a planet), and one smaller (like a person). Force can be calculated using the formula: Force = mass × acceleration.
The mass here is 12kg, the acceleration, which in this case, is the acceleration due to gravity is 25m/s/s, by plugging in our values, we have
Force = 12 × 25 = 300 Newtons or 300 N for short.
which statement is NOT correct regarding the rotating field in three - phase machines : 1- The flux from any phase is pulsating ( acting on one angle and the magnitude is changing with time ) 2-The resulting flux is rotating at the synchronous speed 3-The magnitude of the resulting flux is equal to the magnitude of the flux of any phase multiplied by √3 4-The resulting flux is rotational ( the magnitude is constant and the angle is changing with time )
Answers
The statement that is NOT correct regarding the rotating field in three-phase machines is: 4- The resulting flux is rotational (the magnitude is constant and the angle is changing with time)
In a three-phase machine, the rotating field is created by the combination of magnetic fluxes generated by each of the three phases. Each phase produces a pulsating flux, meaning that the magnitude and angle of the flux change with time.
Statement 1: The flux from any phase is pulsating (acting on one angle and the magnitude is changing with time). This statement is correct. Each phase produces a pulsating flux that varies in magnitude and angle as the machine operates.
Statement 2: The resulting flux is rotating at the synchronous speed. This statement is correct. The combination of the three pulsating fluxes generates a rotating magnetic field that rotates at the synchronous speed, which is determined by the frequency of the power supply.
Statement 3: The magnitude of the resulting flux is equal to the magnitude of the flux of any phase multiplied by √3. This statement is correct. When the three fluxes combine, the magnitude of the resulting flux is the vector sum of the individual fluxes. Since the fluxes are 120 degrees apart, their magnitudes add up in a vectorial manner, resulting in a magnitude equal to the magnitude of any single phase multiplied by the square root of 3 (√3).
Statement 4: The resulting flux is rotational (the magnitude is constant and the angle is changing with time). This statement is NOT correct. The magnitude of the resulting flux is not constant, as it is the vector sum of the pulsating fluxes from the three phases. The angle of the resulting flux does change with time due to the pulsating nature of the individual phase fluxes.
Therefore, the correct statement among the given options is statement 4, which is NOT correct regarding the rotating field in three-phase machines.
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Molly is investigating the change in the motion of an object. She kicks a soccer ball that Is sitting on a soccer field three times. Molly uses a device to measure the force of her kick, and changes the force of her kick each time. The data that she collected are shown in the table below.
Force of Kick
(N)
Distance Traveled (m)
150
31
200
39
270
47
In 6-10 sentences explain how Molly altering the force of her kicks altered the movement of the ball. You may discuss the experiment in terms of Newton's three laws of motion, acceleration and momentum, energy transfer, and /or conservation of energy. Be sure to use appropriate vocabulary in your explanation.
B
i
U
§
×.
x2
=
=
E
=트 트 41 x
Special Characters
Answers
Molly's experiment involved kicking a soccer ball with varying amounts of force and observing the resulting change in the ball's motion.
How does altering the force alter the movement of the ball?Newton's three laws of motion can help explain how the force of Molly's kicks affected the ball's movement.
Newton's first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant velocity unless acted upon by an unbalanced force. In this experiment, the soccer ball was at rest before each kick, so the force of Molly's kicks acted as an unbalanced force, causing the ball to accelerate and move. The greater the force of her kick, the greater the acceleration and resulting distance the ball traveled.
Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In this case, the mass of the soccer ball remained constant, but the force of Molly's kicks varied. As a result, the acceleration of the ball was directly proportional to the force of her kick.
Finally, Newton's third law of motion states that for every action, there is an equal and opposite reaction. When Molly kicked the soccer ball, the ball exerted an equal and opposite force back on her foot, which is why she felt the impact of the kick.
Energy transfer also played a role in this experiment. When Molly kicked the ball, she transferred energy from her foot to the ball. The greater the force of her kick, the more energy was transferred to the ball, resulting in a greater distance traveled.
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a winter storm that blows cold wind at least 56 km/hr and has falling or blowing snow that reduces visibility to less than 400 m for at least three hours is classified as a(n) blank . multiple choice question.
Answers
Wind speeds of above 56 kilometers per hour (35 miles per hour) are common during blizzards. These winds reduce visibility by causing a lot of snow to blow around in the air and close to the ground.
What is Blizzards?A blizzard is a severe snowstorm that lasts for a long time—typically at least three or four hours—and is marked by strong sustained winds and low visibility. When snow is not falling but rather loose snow on the ground is lifted and blasted by strong winds, the weather is called a "ground blizzard." A blizzard, according to the National Weather Service, is a storm with heavy snowfall or snow that is blowing, winds that are greater than 35 mph (56 kph), and visibility that is less than 14 mile (0.4 km) for at least three hours. There is no snow falling during some blizzards, known as ground blizzards.To learn more about Blizzards refer to:
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The Atomic number tells us the number of ____ in an atom.
Answers
Answer:
Protons
Explanation:
Answer: protons
Explanation:
Moby lifted Tim off the ground a distance of 2 meters using a force of 2N. How much work did Moby do?
Answers
Answer:
4 J
Explanation:
As I guess,
From the equation,
work done = force × distance travelled
= 2 × 2
= 4 J
There are no conversions since all are given in the standard form.
A box at rest is in a state of equilibrium half way up on a ramp. The ramp has an incline of 42°. What is the force of static friction acting on the box if box has a gravitational force of 112. 1 N ? 70 N 80 N 75 N 85 N.
Answers
The magnitude of the force of static friction acting on the box is 75 N. Option D is correct.
What is static friction?
It is the frictional force between the two solid objects that are attached to each other.
It can be given by
\(F_s = mg \rm \ sin \theta\)
Where,
\(F_s\) - static friction
\(mg\) - gravitational force = 112. 1 N
\(\theta\) - inclined angle = 42°
Put the values in the formula,
Fs = 112.1 x sin42°
Fs = 75 N
Therefore, the magnitude of the force of static friction acting on the box is 75 N.
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You observe two charges +4.5 μC and +2.7 μC separated by 15cm. What is the magnitude and direction of the force on the +2.7 μC charge?
Answers
The magnitude and the direction of the force is given as 145.8 N
How to solve for magnitude and direction of the forceWe can use Coulomb's Law to calculate the force between the two charges:
F = k * (q1 * q2) / r²
where F is the force, k is the Coulomb constant (k = 9 x 10⁹ N*m²/C²), q1 and q2 are the charges, and r is the distance between them.
Plugging in the values, we get:
F = 9 x 10⁹ * (4.5 x 10⁶ C) * (2.7 x 10⁻⁶C) / (0.15 m)²
F = 145.8 N
Hence we would conclude that the magnitude and direction of the force on the +2.7 μC charge is 145.8 N
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How much power was used if 10 Joules of work were done in 2 seconds?
Answers
Answer:
power= work done /time=10/2=5watt
2. if the nature of sound was not wave-like, but more like the mechanics of balls, cars, , could resonance occur?
Answers
No, resonance won't happen.
A process whereby an external force or a vibrating system causes another system nearby to vibrate more intensely at a particular operating frequency
What results in resonance?Simple resonance is the occurrence of an oscillating force near one of an object's "natural" frequencies, where it is easily oscillating.
Are there resonances in people?Many researches have discovered that the fundamental resonance frequency of the human complete body is approximately 5 Hz by measuring how the body reacts to vibrations.
What does the term "amplitude" mean?In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave can move relative to its equilibrium location.
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why weight and friction affect the mechanical advantage of a simple machine.
Answers
Answer:
Friction is another force that energy gets "wasted" on in the dragging. Therefore, the machine gives you less mechanical advantage when too much friction is involved because it wastes energy. It also makes it less efficient!
Genetic variations in a population are caused by random what?
Answers
Answer:
mutation
Explanation:
Genetic variations in a population are caused by random mutations.
Genetic variations refer to the differences in DNA sequences between individuals in a population. These variations are the result of random mutations that occur in the DNA of organisms over time. Mutations are changes in the genetic code, and they can happen spontaneously during the process of DNA replication or due to external factors such as radiation, chemicals, or environmental influences.
When cells replicate, they sometimes make errors in copying their DNA, leading to new genetic information. These mutations can be neutral, harmful, or occasionally beneficial. Harmful mutations may lead to genetic disorders, whereas beneficial mutations can provide certain individuals with advantages in adapting to their environment.
Over generations, genetic variations accumulate in a population. Natural selection then plays a crucial role in determining which variations are advantageous and which are not. If a particular genetic variation offers a survival or reproductive advantage, it is more likely to be passed on to future generations, leading to evolutionary changes in the population.
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what is the speed of an object that travels 40m in 2 s?
Answers
Kofi, with mass 42.00 kg, is riding a skateboard with a mass of 2.00 kg and traveling at 1.20 m/s. Kofi jumps off and the skateboard stops dead in its tracks. In what direction and with what velocity did he jump
Answers
He jumped off with a velocity of 1.26 m/s in the same direction as the skateboard .
Conservation of linear momentumAccording to the principle of conservation of linear momentum, the total momentum of a system is constant. Hence;
Total momentum before = (42.00 kg + 2.00 kg) 1.20 m/s = 52.8 Kgm/s
Total momentum after = (42.00 kg × v) + (2.00 kg × 0) = 42.00 v Kgm/s
Applying the law of conservation of linear momentum;
52.8 Kgm/s = 42.00 v Kgm/s
v = 52.8/42.00
v = 1.26 m/s
He jumped off with a velocity of 1.26 m/s in the same direction as the skateboard .
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why do compass needles around a current carrying wire point in different directions
Answers
Answer: because of the magnetic
Explanation: If you hold a compass near a wire through which current is flowing, the needle on the compass will be deflected. Since compasses work by pointing along magnetic field lines, this means that there must be a magnetic field near the wire through which the current is flowing.
How will i promote the culture of my country in a creative way ?
pls answer po in a civics way
Answers
Promoting the culture of your country in a creative way requires a combination of civic engagement and creative expression. Here are some civic-minded approaches you can consider:
Cultural Events and Festivals: Organize or participate in cultural events and festivals that showcase the traditions, music, dance, food, and arts of your country. These events can bring people together, foster cultural exchange, and create a sense of pride in your country's heritage.
Cultural Education: Collaborate with schools, community centers, and local organizations to develop cultural education programs. These programs can include workshops, lectures, or classes that teach traditional crafts, languages, history, or other aspects of your country's culture.
Cultural Preservation: Engage in efforts to preserve and protect cultural landmarks, historical sites, and artifacts. This can involve volunteering for restoration projects, advocating for heritage preservation laws, or raising awareness about the importance of cultural heritage.
Cultural Exchange Programs: Initiate or participate in cultural exchange programs that allow people from different countries to share experiences and learn about each other's cultures. This can be done through student exchanges, artist collaborations, or cultural immersion programs.
Online Presence: Utilize social media platforms, blogs, or websites to share stories, photos, and videos that highlight the cultural richness of your country. This can reach a wider audience and create opportunities for cross-cultural dialogue.
Collaborations with Artists: Support and collaborate with local artists, musicians, filmmakers, and writers who can contribute to promoting your country's culture through their creative works. This can include organizing exhibitions, concerts, film screenings, or publishing cultural literature.
Cultural Tourism: Work with local tourism authorities to develop cultural tourism initiatives that showcase the unique aspects of your country's culture. This can involve creating cultural tours, promoting traditional accommodations, or organizing cultural exchange programs for tourists.
Remember, promoting your country's culture in a creative way requires a sense of civic responsibility, respect for diversity, and a commitment to preserving and celebrating your heritage. By engaging the community and utilizing creative platforms, you can inspire others to appreciate and embrace the culture of your country.
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What are the usual symbols we are using for the following properties of a star? brightness luminosity apparent magnitude absolute magnitude temperature mass Notice that two symbols are the same, and t
Answers
The symbol "m" is used for both apparent magnitude and absolute magnitude, but they represent different quantities in different contexts.
The usual symbols used for the following properties of a star are:
- Brightness: Usually represented by the symbol "B" or "m". It refers to the amount of light received from a star as observed from a particular location.
- Luminosity: Represented by the symbol "L". It refers to the total amount of energy radiated by a star per unit of time.
- Apparent Magnitude: Represented by the symbol "m". It is a measure of the brightness of a star as observed from Earth. Lower values indicate brighter stars.
- Absolute Magnitude: Also represented by the symbol "m". It is the intrinsic brightness of a star, defined as the apparent magnitude a star would have if it were placed at a standard distance of 10 parsecs (32.6 light-years) from the observer.
- Temperature: Represented by the symbol "T". It refers to the surface temperature of a star, typically measured in Kelvin.
- Mass: Represented by the symbol "M". It is the amount of matter contained in a star, typically measured in solar masses (M☉).
Note: The symbol "m" is used for both apparent magnitude and absolute magnitude, but they represent different quantities in different contexts.
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Among the elements below, mark the one that, when doping a
matrix of germanium, does not result in an n-type
semiconductor.
The. Bi
B. At
ç. Ga
d. Sb
and. P
Answers
Option A: Among the elements listed, the one that, when doping a matrix of germanium, does not result in an n-type semiconductor is Bi (Bismuth).
Bismuth is not commonly used as a dopant for creating an n-type semiconductor in germanium. However, it can be used as a dopant for creating a p-type semiconductor. The other elements listed, At (Astatine), Ga (Gallium), Sb (Antimony), and P (Phosphorus), can be used as dopants to create an n-type semiconductor when added to a germanium matrix.
In both N-type and P-type semiconductors, the doping process intentionally introduces impurities into the semiconductor material to modify its electrical properties and allow for the controlled flow of electric current. The combination and interaction of N-type and P-type semiconductors form the basis for various semiconductor devices, such as diodes, transistors, and integrated circuits.
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Correct question:
Among the elements below, mark the one that, when doping a matrix of germanium, does not result in an n-type semiconductor.
A. Bi
B. At
C. Ga
D. Sb
E. P