The force on the electron is (F)= 9.2 nN.
How can we calculate the value of the force on the electron?To calculate the value of the force on the electron here we use the formula,
[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]
Here we are given,
[tex]q_{1}[/tex]= The charge of an atomic nucleus= 40e = [tex]40 \times 1.6 \times 10^{-19}[/tex] C.
[tex]q_{2}[/tex]= The charge of an electron = [tex]1.6 \times 10^{-19}[/tex] C.
r= The distance between the nucleus and the electron = [tex]10^{-9}[/tex] m.
k= The Coulomb's constant = [tex]8.99 \times10^9 N m ^2 /C^ 2[/tex]
We have to find the value of the of the force on the electron = F
Now , we substitute the known values in the above equation, we can get
[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]
Or, [tex]F=8.99\times 10^{9} \frac{40\times 1.6\times 10^{-19} \times 1.6\times 10^{-19} }{(10^{-9})^{2} }[/tex]
Or,[tex]F=8.99\times 10^{9}\times {40\times (1.6\times 10^{-19} )^2\times (10^{9})^{2} }[/tex]
Or, [tex]F= 9.2 \times 10^{-9} N[/tex]
Or, F= 9.2nN
So, from the above calculation we can conclude that the amount of force applied on the electron is 9.2nN.
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A mass of 0.34 kg is fixed to the end of a 1.4 m long string that is fixed at the other end. Initially at rest, he mass is made to rotate around the fixed end with an angular acceleration of 3.31 rad/s. What centripetal force must act on the mass after 8 s so that it continues to move in a circular path
At time [tex]t[/tex] seconds, the mass has angular speed
[tex]\omega = \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) t[/tex]
and hence linear speed
[tex]v = (1.4\,\mathrm m) \omega = (1.4\,\mathrm m) \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) t[/tex]
After 8 s, its linear speed is
[tex]v = (1.4\,\mathrm m) \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) (8\,\mathrm s) = 37.072 \dfrac{\rm m}{\rm s} \approx 37 \dfrac{\rm m}{\rm s}[/tex]
and has centripetal acceleration with magnitude
[tex]a = \dfrac{v^2}{1.4\,\rm m} \approx 981.667\dfrac{\rm m}{\mathrm s^2} \approx 980 \dfrac{\rm m}{\mathrm s^2}[/tex]
To maintain this linear speed, by Newton's second law the required centripetal force should have magnitude
[tex]F = (0.34\,\mathrm{kg}) a \approx 333.767\,\mathrm N \approx \boxed{330 \,\mathrm N}[/tex]
What is the de broglie wavelength of this electron? [ke[ke = 12mv2;12mv2; 1 electron volt (ev)(ev) = 1. 602×10−19j]
broglie wavelength of this electron is 107.5pm.
what is de broglie wavelength?
The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.
Given:
de broglie wavelength of this electron? [ke[ke = 12mv2;12mv2; 1 electron volt (ev)(ev) = 1. 602×10−19j] is 107.5pm
[tex]h = 6.63 \times 10 { }^{ - 34} [/tex]
[tex]k = 120ev[/tex]
[tex]me = 9 \times 10 {}^{ - 31} kg[/tex]
[tex]1ev = 1.6 \times 10 {}^{ - 19} [/tex]
[tex]p = \sqrt{2mk} [/tex]
[tex] = \sqrt{2 \times 9 \times 10 { }^{ - 31} \times 1.6 \times 10 {}^{ - 19} } [/tex]
[tex] = 5.88 \times 10 {}^{ - 24} kgm/s[/tex]
de broglie wavelength
λ=h/p
[tex] = \frac{6.63 \times 10 {}^{ - 34} }{5.88 \times 10 {}^{ - 24} } [/tex]
Thus from the above calculation the de broglie wavelength comes out to be 107.5pm
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Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a ______ costing system
Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a standard costing system.
A standard cost is a fixed price per unit of direct materials, fixed price per direct labour hour, and fixed price per hour of overhead that is based on predicted quantities of direct materials and projected direct labour time.
Top management may find a standard cost system useful for planning and decision-making. easier and more reasonable inventory measurements. Compared to an actual cost system, a standard cost system makes inventory valuation simpler. Unit costs for batches of identical products may differ significantly under an actual cost system.
Therefore,Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a standard costing system.
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Consider a standing wave on a string. What is the distance between two adjacent nodes in terms of the wavelength λ of the standing wave?.
The distance between the two adjacent nodes = λ/2.
What is Wavelength?The length over which a wave's shape repeats is known as its spatial period, or wavelength. It is a characteristic of various spatial wave patterns as well as travelling and standing waves. It is the separation between two consecutive positions on a wave that correspond to the same phase, such as two close-by crests, troughs, or zero crossings. The reciprocal of wavelength is the spatial frequency. Wavelength is usually denoted by the Greek letter lambda (λ). Sometimes, modulated waves, their sinusoidal envelopes, or waves generated by the interference of several sinusoids are all referred to by the term wavelength.The distance between the two adjacent nodes = λ/2.
for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.
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Which one of the following conditions is linked to poverty, insufficient food intake, poor food quality unsanitary living conditions, and improper feeding of infants and young children?
Obesity
Heart disease
Cancer
Protein-energy malnutrition
Protein-energy malnutrition is the condition linked to poverty, insufficient food intake, poor food quality, unsanitary living conditions, and improper feeding of infants and young children. The correct option is 4.
Protein-energy malnutrition (PEM) is a type of malnutrition that occurs when there is a deficiency in both protein and energy (calories) intake. It is often associated with impoverished and disadvantaged populations who lack access to an adequate and balanced diet. PEM can lead to severe health consequences, including stunted growth, weakened immune system, and increased susceptibility to infections and diseases.
Efforts to combat PEM include improving food security, promoting better nutrition practices, and enhancing access to essential nutrients through supplementation and fortification of food. Addressing poverty, improving living conditions, and ensuring proper healthcare and education are also crucial in preventing and treating protein-energy malnutrition in vulnerable populations.
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A device that assures the delivery of electric power without interruption is a(n)?
A 60 w (120 v) night light is turned on for an average 12 h a day year round. part a what is the annual cost of electricity at a billing rate of $0. 11/kwh?
The annual cost of electricity is $28.908 .
work done is equal to energy consumed
therefore total energy is calculated as power times the duration of operation .
[tex]W=P.t[/tex]
where W= work done
P=power
t= time of operation
therefore,
total work done (W)=0.06×12×365 kw
=262.8 kw
so total annual electricity bill = 262.8×0.11
=$28.908
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Give a qualitative description of the skydiver's motion after jumping out of the plane.
Explanation:
They will have not much control over their speed or rotational energy. they will carry a lot of gravitation potential energy which will get converted to kinetic energy as they fall through the atmosphere. They will reach their terminal velocity, the fastest they can travel with earth's gravity before they pull their parachute, when they use a parachute to extend their surface area, increasing wind resistance. this allows them to land safely.
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Answer:
glass is optically denser as it is a optical material having more index number above the list
Answer:
zicron
Explanation:
it has a large refractive index
Suppose that at midnight you observe the moon due south on the meridian. where will it be two nights later at the same time?
It will be about 26 degrees north of observer's meridian.
To find the answer, we have to know more about observer's meridian.
Where will be the moon after two days?The Moon appears to rise in the east and set in the west every day, but this is actually caused by the Earth spinning, much like with the Sun and the evening stars. Every day, the Moon moves 12–13 degrees east. Moonrise happens each day around 50 minutes later because of this shift, which requires Earth to rotate a little bit longer in order to bring the Moon into view. The Moon appears in a different area of the sky when it rises later in the day. The large circle that passes through the celestial poles, as well as the zenith and nadir of an observer's location, is known as the meridian. As a result, it also comprises the north and south horizon points and is perpendicular to both the celestial equator and the horizon.Thus, we can conclude that, the moon due south on the meridian will be
about 26 degrees north of observer's meridian, after two nights at the same time.
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Factors that affect mechanical advantage of a machine
Hi there! Your answer is below.
Pulley sizes, cylinder size ratios, screw pitch, leverage, gear ratios, and pulley sizes
The MA increases yet the work takes longer to complete the farther the applied effort goes relative to the load. An excessive increase in the MA may be counterproductive.
Bicycle derailleurs are the most obvious example of variable MA.
Choose a low gear to climb hills more easily, but if you don't switch to another one on the flat, you'll be pedaling frantically and quickly getting nowhere. (Of course, you progress, but slowly.)
I frequently use bicycles as illustrations of intricate mechanics. They aren't actually toys at all!
Thank you,
Eddie
For an object that is moving at a constant velocity is it necessary for it to be moving in a straight line
No, it's not necessary for the object with constant velocity to move in a straight line.
It can can also move in a uniform circular path.
What is the condition to keep an object moving at a constant velocity?Only when no forces are present or when all of the forces acting on an item are equal and opposite to one another, or when the total force acting on the object is zero, will its velocity remain constant. It's commonly known as equilibrium. The sum of the forces exerted on an object must be zero since, in accordance with Newton's first law of motion, an object moving at a constant speed experiences no net external force.
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What is the distance to the nearest antinode from the fixed end of a guitar string vibrating at its first harmonic?
What is the distance to the nearest antinode from the fixed end of a guitar string vibrating at its first harmonic? /4
What is antinode in a guitar?The wave at every given instant resembles a graph of a sine wave because the antinodes alternate in the wave's displacement direction. The nodes on a guitar string are the locations where harmonics can be produced the greatest, especially at the 12th fret. The sound is muffled by touching the antinodes.
Halfway between the string's anchor points and the node, or between 1/4 and 3/4 of the string's overall length, are the most audible and vibrating points of these harmonics (called antodes).
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What is the total energy transported per hour along a narrow cylindrical laser beam 2. 40 mm in diameter, whose b-field has an rms strength of 1. 30×10−10 t?
The total energy transported per hour along a narrow cylindrical laser beam 2. 40 mm in diameter, whose b-field has a RMS strength of 1. 30×10−10 will be 6.40 × 10⁻⁸J.
Intensity for an electromagnetic wave is energy crossed per second in the direction perpendicular to the propogation of electromagnetic wave which is passing per unit area.
The Intensity for an electromagnetic wave is given by:
I = cε₀E₀²
where c is the speed of light,
E₀ is the maximum value of the electric vector
ε₀ is the permitivitty of medium
I is the intensity
We know that, E = Bc
where, B is the magnetic field
Hence on substituting into the formula:
I= cε₀E₀²
⇒ I= c³ε₀B²
Given,
B = 1.30×10⁻¹⁰ T
So,
I = (3 X 10⁸)³ X (8.85 X 10⁻¹²) x(1.10×10⁻¹⁰)²
⇒ I = 96.37 × 10⁻⁸ W/m²
Energy transported per unit hour is :
E= AIt
where A is the area of beam = πr²
r is the radius of beam used, r = 1.20mm = 0.0012m
t is the time = 1hr = 3600s
On substituting,
E = 2.891 × 10⁻⁶ × πr² × 3600
E = 2.891 X 10⁻⁶ × 3.14 × (0.0012)² x (3600)
E = 6.40 × 10⁻⁸J
Hence, total energy transported per hour along a narrow cylindrical laser beam is 6.40 × 10⁻⁸J.
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What happens to the appearance of an object as it gets hotter?
a. the object gets fainter.
b. the object gets brighter.
c. the object gets redder.
d. the object gets bluer.
Answer:
d) the object gets bluer
blue wavelengths are shorter than red wavelengths (in the visible spectrum)
blue light will carry more energy than an equivalent amount of red light
The appearance of an object as it gets hotter is that the object gets bluer. Hence, option (d) is correct.
What is Wavelength?Wavelength is the separation between the equivalent points of two successive waves. When two points or particles are referred to be "corresponding points," it means that they are both in the same phase and have completed exactly the same portions of their vibration. Typically, the wavelength of transverse waves—those whose points advance at right angles to one another—is assessed from crest to crest or from groove to trough; for longitudinal waves—those whose points advance in the same direction—the wavelength is measured from compression to compaction or from rarefaction to rarefaction.
A wave train's speed (v) in a medium is equal to its frequency (f), hence the formula for wavelength is v/f. Wavelength is commonly represented by the Greek character lambda λ.
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You are holding two balloons of the same shape and size. one is filled with helium, and the other is filled with ordinary air. On which balloon is the buoyant force greater?
Answer:
B (buoyant force) = weight of air displaced - weight of balloon
Both balloons will displace the same amount of air but the weight of the balloon filled with He is much less and will experience a greater buoyant force - actually if a balloon is filled with air its weight would be the same as the weight of the air displaced and there would be no buoyant force
A sealed syringe contains 60 cm^{3} of air at a pressure of 1.0 atmosphere. The piston is pushed in slowly until the volume is 40 cm^{3}. What is the pressure now?
The new pressure of the air in the syringe is 1.5 atm.
What is the new pressure of the syringe?The new pressure of the air in the syringe is calculated as follows assuming the temperature remains constant;
P2 = P1V1/V2
P2 = 1 * 60/40
P2 = 1.5 atmospheres
In conclusion, pressure varies inversely as volume.
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A rock with a mass of 17 kilograms is put aboard an airplane in new york city and flown to boston. how much work does the gravitational field of the earth do on the rock?
The amount of work done by the gravitational field of the earth do on the rock is 166.6d (J).
What is work done?Work is done when energy is transferred from one store to another.
Work is also done when a force causes an object to move.
The amount of work done by the gravitational field of the earth do on the rock is calculated as follows;
W = Fd
where;
F is gravitational force of the rockd is the displacement of the rockW = (mg)d
W = (17 x 9.8)d
W = 166.6d
Thus, the amount of work done by the gravitational field of the earth do on the rock is 166.6d (J).
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a stone is dropped from 45 m height of tower. it takes 3 second to reach ground. calculate acceleration due to gravity
Answer: 10 m/s^2
Explanation:
So I think the answer might be 10 m/s^2, following the equation: d=1/2a(t^2).
Variables:
d=45(m)
t=3(s)
a=?
We know the variables "d" and "t" in the equation and have to solve for "a".
So when we plug it in it's:
45=1/2(a)(3^2)
45=1/2(a)(9)
45=4.5(a)
10=(a)
Find the work done by the force field f! (x, y) = x sin(y)!i y!j on a particle that moves along the parabola y = x2 from (−1, 1) to (2, 4)
The work done by the force field f! (x, y) = x sin(y)i + yj on a particle that moves along the parabola y = x2 from (−1, 1) to (2, 4) will be 15/2 + 1/2 cos1 -1/2 cos4
Work done on a body is equal to the increase in the energy of the body, for work transfers energy to the body. If, however, the applied force is opposite to the motion of the object, the work is considered to be negative, implying that energy is taken from the object.
The units in which work is expressed are the same as those for energy, for example, in SI (International System of Units) and the metre-kilogram-second system, joule (newton-metre)
Equation of parabola : y = [tex]x^{2}[/tex]
dy = 2x dx
f(x , y) = x sin (y) i + y j
= [tex]\int\limits^2__{} \, -1[/tex] [tex]\ {x sin (x^{2} )} \, dx[/tex] + [tex]\int\limits^2__{} \, -1[/tex] 2x . [tex]x^{2}[/tex] dx
= [tex]\int\limits^2__{} \, -1[/tex] [tex]\ {x sin (x^{2} )} \, dx[/tex] + [tex]\int\limits^2__{} \, -1[/tex] 2 [tex]x^{3}[/tex] dx
= 1/2[tex]x^{4}[/tex] * ( - 1/2 cos [tex]x^{2}[/tex] ) + [tex]x^{4}[/tex] / 2
= 8 - 1/2 + (-1/2 cos 4 + 1/2 cos 1)
= 15/2 + 1/2 cos1 -1/2 cos4
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What compound results when cyclooctatetraene is treated with excess potassium metal?
When cyclooctatetraene is treated with excess potassium metal dipotassium cyclooctatetraene dianion compound is formed.
What is cyclooctatetraene?Unsaturated cyclooctane derivative 1,3,5,7-cyclooctatetraene has the chemical formula [tex]C_{8} H_{8}[/tex]. Another name for it is annulene. At room temperature, this polyunsaturated hydrocarbon is a colorless to light yellow flammable liquid.What is dipotassium cyclooctatetraene dianion?The cyclooctatetraenide anion, also known as cyclooctatetraenide or, more accurately, cyclooctatetraenediide.It is an aromatic species having the chemical formula [tex][C_{8} H_{8}]^{2-}[/tex] and is abbreviated as [tex]COT^{2-}[/tex] in chemistry. It is cyclooctatetraene's dianion.Learn more about such organic compounds here:
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If the elevation in reservoir b is 100m, what must the elevation in reservoir a be if thevolume flow rate through the cast-iron pipe is 0. 03m3/s?
The elevation in reservoir at the rate of flow using is 03m/s is 114m.
The Reynolds range is the ratio of inertial forces to viscous forces. The Reynolds variety is a dimensionless variety used to categorize the fluids structures in which the impact of viscosity is crucial in controlling the velocities or the flow sample of a fluid.
The reason of the Reynolds number is to get a few experience of the relationship in fluid glide between inertial forces (this is those that maintain going by using Newton's first law – an item in motion stays in movement) and viscous forces, this is people who cause the fluid to come back to a forestall because of the viscosity of the fluid.
calculation,
Let L = 100 m pipe
L1 = 150 m pipe
H f = friction losses
Using Reynolds number, relative roughness, friction co- effiicients and friction losses
Substitute the value in equation
Z = 110= 0.48= 3.54
Z = 114m
Therefore water surface elevation at reservoir is 114 meter.
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When full, the innermost electron shell of argon contains ________ electrons, and the outermost shell contains ________ electrons.
The innermost electron shell of argon contains 2 electrons, and the outermost shell contains 8 electrons.
To find the answer, we have to know more about the electronic configuration.
What is the electronic configuration of Argon?As we know that, the element Argon in the periodic table has an atomic number of 18.Since its atomic number is 18, it should have 18 number of electrons in the elemental state.The first shell or K shell of Argon can carry 2 electrons, and rest of the 16 electrons will filled in the L and M shells.For, L has a maximum number of 8 electrons, and thus, the rest 8 will move to M.Thus, we can conclude that, the innermost electron shell of argon contains 2 electrons, and the outermost shell contains 8 electrons.
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The resistance of a 100-cm wire of cross sectional area 2 × 10-6 m2 is 400 ω. what is the resistivity of the material of this wire?
The resistivity comes out to be [tex]=800×10 { }^{ - 4} Ωm[/tex]
Given:
length,l=100vm or 1m
Area,A
Resistance,R
To find:
resistivity,ρ
ρ = RA/l
[tex] = \frac{400 \times 2 \times 10 {}^{ - 6} }{1} [/tex]
[tex] = 800 \times 10 {}^{ - 4} Ωm[/tex]
Thus,the resistivity comes out to be
Thus,the resistivity comes out to be [tex]=800×10 { }^{ - 4} Ωm[/tex]
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In a region where the electric field is uniform and points in the x direction, the electric potential is -2000 v at x = 8 m and is 400 v at x = 2 m. what is the magnitude of the electric field?
The magnitude of the uniform electric field, if the electric potential is -2000 v at x = 8m and is 400 v at x = 2 m in x direction will be, 400V/m.
To find the answer, we have to know more about the electric field.
How to find the magnitude of uniform electric field?a space where other charged particles or things would be forced to move away from a charged particle or item is called the electric field.The expression for electric field in terms of potential V and the distance x can be written as,[tex]E=\frac{dV}{dx}[/tex]
where, dV is the potential difference at two different points of the conductor and dx is the difference of the points.
Thus, the magnitude of electric field can be written as,[tex]|E|=|-(\frac{dV}{dx} )|=|-(\frac{-2000-400}{8-2} )|\\\\|E|=400V/m[/tex]
Thus, we can conclude that, the magnitude of the uniform electric field, if the electric potential is -2000 v at x = 8m and is 400 v at x = 2 m in x direction will be, 400V/m.
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Two long parallel wires carry currents of 20 a and 5. 0 a in opposite directions. the wires are separated by 0. 20 m. what is the magnetic field midway between the two wires? group of answer choices
The magnetic field will be given by the formula B=B1+B2.
Between two wires, the magnetic field has the formula B=B1+B2.
We must first calculate the magnetic field caused by each wire before adding the two vectors to find the net magnetic field halfway between the two wires. We must subtract the two vectors in order to find the total magnetic field because the electric current flows in the opposite direction via both cables.
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is traveling through a magnetic field.
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The schematic diagram below shows an induction cooktop being used to heat water in a steel pan.
Which of the following best explains how the water is heated?
A
The ceramic top plate heats up as the magnetic field transfers heat energy directly to the top plate. The pan and water are then heated by conduction.
B
The current from the coil is transferred by means of the magnetic field to the pan. The pan then induces a current in the water, which heats due to resistance.
C
The copper coil heats up as it resists the electric current. This heat is then transferred by convection through the ceramic cooktop and pan to the water.
D
The steel pan heats up as it resists the induced movement of electrons caused by the changing magnetic field. The water is heated by conduction.
The water is heated as the current from the coil is transferred by means of the magnetic field to the pan. The pan then induces a current in the water, which heats due to resistance. That is option B.
What is cooking by induction?Induction cooking is referred to the transfer of heat energy from one source to another through a magnetic field that helps in the movement of electrons.
Heat cannot be transferred to the water without changes of the magnetic field.
Other examples of how heat is being transferred to other body surfaces include the following:
Convention,Conduction,Evaporation and Radiation.Therefore, the diagram above displays the heat transfer from the copper coil carrying current to the water in the steel pan is by induction.
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Importance of knowledge of gravitational acceleration of planets in space exploration and continuity of life
Gravity has an effect on the ease of landing on moons and planets. And on leaving! Actually Earth is about as heavy a planet as one could want. It takes a lot of fuel to leave Earth and a huge amount of energy to ship anything from Earth. Hence the attraction of using the moon or Mars as a base for exploration. But if you have to ship everything to the moon and then transship to other destinations it’s a losing proposition. The only thing that would make it work would be the ability to find lots of water and oxygen on the moon.
What is not visible on an electrocardiogram? select one: a. depolarization of the ventricles. b. depolarization of the atria. c. repolarization of the ventricles. d. repolarization of the atria
An ECG does not show atria repolarization.
To find the answer, we need to know more about the electrocardiogram.
What is an electrocardiogram?The electrical activity of the heart is captured by an electrocardiogram. It is a routine test that is painless and used to swiftly identify heart issues and keep track of the heart's health. Many common cardiac disorders can be diagnosed using an ECG, which is a painless, noninvasive procedure.Repolarization of the atria is not visible in an electrocardiogram.Thus, we can conclude that, the option d is correct.
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At what temperature must a hot reservoir operate in order to achieve a 30arnot efficiency when the cold reservoir operates at 200 °c?
At temperature 402.71° C must a hot reservoir operate in order to achieve a 30% Carnot efficiency when the cold reservoir operates at 200 °C.
The Carnot engine is a theoretical thermodynamic cycle proposed by Leonard Carnot. It estimates the maximum possible efficiency that a heat engine during the conversion process of heat into work and, conversely, working between two reservoirs can possess.
The Carnot efficiency depends only on the temperature of the hot source and the cold sink. Carnot efficiency describes the maximum thermal efficiency that a heat engine can achieve as permitted by the Second Law of Thermodynamics.
Given
Efficiency = 30 %
T2 = absolute temperature of the heat source = T2
T1 = absolute temperature of the heat sink = 200 °C
efficiency = T2 - T1 / T2
30 /100= T2 - 200 / T2
T2 = 675.71° K
T2 = 402.71° C
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