The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.
Why would someone utilize violet light?The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.
d
sin
θ
=
n
λ
2
(
sin
θ
)
=
(
1
)
(
410
×
10
−
9
)
sin
θ
=
410
×
10
−
9
2
=
2.05
×
10
−
7
θ
=
sin
−
1
(
2.05
×
10
−
7
)
=
1.17
×
10
−
5
Thus the angle is
1.17
×
10
−
5
.
(b.)
Given data
The width of slit is
d
=
2.00
m
.
The number of minimum is
n
=
1.
The wavelength is, \lambda =700 nm
Why does violet light exist?The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.
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a small car (mass 380. kg) is pushing a large truck (mass 900. kg) due east on a level road. the car exerts a horizontal force of 2345 n on the truck. if the truck is accelerating at 2.50 m/s2, what is the magnitude of the net force on the truck?
The magnitude of the net force on the truck is 2070.5 N.
What is frictional force?Frictional force is the force that opposes motion or attempted motion between two surfaces in contact. It arises as a result of the interlocking of irregularities on the surfaces in contact, and it acts in the direction opposite to the direction of motion or attempted motion.
Frictional force can be classified into two types: static friction and kinetic friction. Static friction is the force that prevents an object from moving when a force is applied to it, while kinetic friction is the force that opposes the motion of an object that is already in motion.
The normal force is equal to the weight of the truck, which can be calculated as:
weight = mass x gravity
where gravity is approximately 9.81 m/s^2.
So the weight of the truck is:
weight = 900 kg x 9.81 m/s^2 = 8829 N
Therefore, the normal force is:
normal force = weight = 8829 N
And the frictional force is:
frictional force = 0.5 x 8829 N = 4414.5 N
Next, we can find the net force on the truck by subtracting the force of friction from the force exerted by the car:
net force = 2345 N - 4414.5 N = -2070.5 N
Note that the negative sign indicates that the net force is in the opposite direction to the force exerted by the car, which makes sense since the truck is slowing down.
Finally, we can use Newton's second law to find the acceleration of the truck:
net force = mass x acceleration
-2070.5 N = 900 kg x acceleration
acceleration = -2.3 m/s^2
Again, the negative sign indicates that the truck is slowing down.
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Why is the vertical component of velocity ?
Based on fossil evidence, about how long ago did the
first single-celled life form appear on Earth?O 130 million years ago
O 1. 5 billion years ago
O
2. 5 billion years ago
O
4. 1 billion years ago
A 5L container has a
Answer:a gas at pressure of 0.8 m column of H g
Explanation:I thinkThe current in a light bulb is 2 A. How long does it take for a total charge of 4 C to pass a point in the wire
Answer:
2min
Explanation:
i think it will be clear from photo
Answer: The formula for current is charge/time
so here we have to change subject so we are asked to look for time
Explanation: so it would be T=Q/I
T=4/2
T=2s
hope this helpss
12. You and a friend are playing a game of basketball. Explain why the
basketball appears orange, be sure to use terms reflected and absorbed
in your answer. [4]
Help me plssss I’m giving out brainlest and 10 points
Answer:
If the basket ball appears orange then it can be said that it reflects orange light
Explanation:
The color of the object reflected by an object is the color which is viewed by a viewer. Hence, if the basket ball reflects the orange color light , then the ball will appear orange in color to the viewer.
The light absorbed by the object has no role in deciding the color of the object visible to a viewer.
hence, if the basket ball appears orange then it can be said that it reflects orange light.
Cosmic Evolution
Part A
The history of the universe can be divided into seven major phases. Taken together, these phases make up the cosmic evolutionary scheme—the continuous transformation of matter and energy that has led to the appearance of life and civilization on Earth.
Rank the phases in the history of cosmic evolution from earliest to most recent.
The phases in the history of cosmic evolution from earliest to most recent. Cosmic evolution:
Cosmic evolution is an inclusive working hypothesis that strives to integrate the big and the small, the near and the far, the past and the present, into a unified whole.
Starting with the initial matter and energy, the universe progresses through stages of particulate, galactic, stellar, planetary, chemical, biological, and cultural evolution.
- Particulate - primal energy into elementary particles
- Galactic - atoms into galaxies and stars
- Stellar - stars into heavy elements
- Planetary - elements into solid, rocky planets
- Chemical - elements into building blocks of life
- Biological - molecules into life itself
- Cultural - advanced life forms into intelligence
And the nature of the universe is such that it underwent several stages of evolution, if you will, over its lifetime. These major stages - the radiation era, recombination epoch, and reionization - will be covered right now.
Cosmology is a branch of metaphysics that deals with the nature of the universe, a theory or doctrine describing the natural order of the universe. The basic definition of Cosmology is the science of the origin and development of the universe. In modern astronomy, the Big Bang theory is the dominant postulation.
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1. a 1500 rpm, 8 hp motor is to be used to lift a load. the screw has an outside diameter of 2 inches, a coefficient of friction of 0.1, a frictionless collar, and standard acme threads. a) if the screw has a standard pitch, what is the speed of the lift? b) how much load can the lift raise? c) does the screw need a brake when at rest?
a) Speed = 1500 RPM / Gear Ratio (threads per inch) b) Load = 8 HP / (Gear Ratio * Efficiency) c) Brake necessity depends on lift system design and requirements.
a) The speed of the lift can be determined by dividing the motor RPM (1500 RPM) by the gear ratio, which is equal to the number of threads per inch on the screw.
b) To calculate the load that the lift can raise, we need the efficiency of the lift system, in addition to the motor HP (8 HP) and the gear ratio (number of threads per inch). The load can be obtained by dividing the motor HP by the product of the gear ratio and the efficiency.
c) Whether a brake is required for the screw when at rest depends on the specific design and requirements of the lift system. A brake might be necessary to prevent unintended movement of the load when the motor is not operational. However, without further details about the lift system's design and intended usage, it is impossible to definitively determine the necessity of a brake.
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A loaded railroad car of mass 6000 kg is rolling to the right at 2. 0 m/s when it collides and couples with an empty freight car of mass 3000 kg, rolling to the left on the same track at 3. 0 m/s. What is the velocity of the pair after the collision? (let right be positive, left be negative)
The final velocity of the coupled freight cars after the collision is -1.0 m/s, which means that they are moving to the left with a speed of 1.0 m/s.
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system of objects is conserved if there are no external forces acting on the system. In this case, the two freight cars are the system, and the collision is assumed to be perfectly elastic, which means that the total kinetic energy of the system is conserved as well.
Let the positive direction be to the right, and the negative direction be to the left. Then, the initial momentum of the system is:
p_initial = m1v1 + m2v2
= 6000 kg * 2.0 m/s + (-3000 kg) * 3.0 m/s
= 6000 kgm/s - 9000 kgm/s
= -3000 kg*m/s
where m1 and v1 are the mass and velocity of the loaded car, and m2 and v2 are the mass and velocity of the empty car. The negative sign indicates that the momentum of the empty car is in the opposite direction to that of the loaded car.
After the collision, the two freight cars will move together as a single unit with a common velocity v_final. Since the total momentum of the system is conserved, we can write:
p_final = (m1 + m2) * v_final
where m1 + m2 is the total mass of the system. Setting the initial and final momenta equal and solving for v_final, we get:
v_final = p_initial / (m1 + m2)
= (-3000 kg*m/s) / (6000 kg + 3000 kg)
= -1.0 m/s
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When a radio telescope observes a region of space between two stars, it detects electromagnetic radiation that has a wavelength of 0.21 m. This radiation was emitted by hydrogen atoms in the gas and dust located in that region.
Required:
What is the frequency of this radiation?
Answer:
14.3 x 10^8Hz
Explanation:
Using
Frequency= speed of light /wavelength
Then substituting
3*10^8m/s / 0.21m
= 14.3 x10^8 Hz
if your mass is 60 kilograms on earth, what would your mass be on the moon? if your mass is 60 kilograms on earth, what would your mass be on the moon? 10 pounds 60 kilograms 60 pounds 10 kilograms 360 kilograms
Your mass would be the same on the moon as it is on Earth, which is 60 kg. Despite the moon and Earth having different gravitational fields, mass is a constant indicator of the quantity of matter present.
This suggests that option b) is the proper one.
What is the gravitational difference between the moon and the earth?
The moon won't draw things toward itself with the same force as the Earth since it has a lot less mass than the latter. In other words, even if your mass stays the same, you would weigh less if you traveled to the moon!
The average gravity at Earth's surface is 9.8 meters per second. For example, when something is thrown over the top of a building or the edge of a cliff, it falls at a speed of 9.8 meters per second each second. The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second.
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I understand that the question you are looking for is:
If your mass is 60 kilograms on earth, what would your mass be on the moon?
a) 10 pounds
b) 60 kilograms
c)60 pounds
d)10 kilograms
e)360 kilograms
1996waec.com calculate the current in amperes required to produce 18g of aluminum in 1.50hrs (a=27,f=96,500c)
The current required to produce 18g of aluminum in 1.50 hours is approximately 35.93 Amperes.
To calculate the current required to produce 18g of aluminum in 1.50 hours, we need to use Faraday's law of electrolysis, which relates the amount of substance produced to the current and time.
Faraday's law states that the amount of substance produced (in moles) is directly proportional to the electric charge passed through the electrolyte solution. The relationship can be expressed as:
n = Q / (zF)
where:
n is the amount of substance produced (in moles),
Q is the electric charge (in coulombs),
z is the number of moles of electrons transferred per mole of substance (for aluminum, z = 3), and
F is the Faraday's constant (F = 96,500 C/mol).
Given:
Amount of aluminum produced (n) = 18g
Time (t) = 1.50 hours = 5400 seconds
Faraday's constant (F) = 96,500 C/mol
Number of moles of electrons transferred per mole of aluminum (z) = 3
First, let's convert the mass of aluminum to moles:
n = (18g) / (molar mass of aluminum)
The molar mass of aluminum is approximately 26.98 g/mol.
n = (18g) / (26.98 g/mol)
n ≈ 0.668 mol
Next, let's calculate the electric charge (Q) using Faraday's law:
Q = n * z * F
Q = (0.668 mol) * (3) * (96,500 C/mol)
Q ≈ 194,258 C
Finally, we can calculate the current (I) using the formula:
I = Q / t
I = (194,258 C) / (5400 s)
I ≈ 35.93 A
Therefore, the current required to produce 18g of aluminum in 1.50 hours is approximately 35.93 Amperes.
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A gas-cooled nuclear reactor operates between hot and cold reservoir temperatures of 700"C and 27.0°C. What is the maximum percent efficiency of a heat engine operating between these temperatures?
The Carnot cycle efficiency formula can be used to determine the maximum theoretical efficiency of a heat engine running between two temperatures:Therefore, a heat engine operating between these temperatures has a maximum theoretical efficiency of 69.1%.
Efficiency is equal to 1 - (T_cold/T_hot).
where T_cold and T_hot are the temperature of the cold and hot reservoirs, respectively.
In this instance, the hot reservoir has a temperature of 700 °C, or 973.15 K, and the cold reservoir has a temperature of 27.0 °C, or 300.15 K.
These values are entered into the equation to produce:
Efficiency is equal to one minus (300.15 K/973.15 K) = 0.691, or 69.1%.
This is a theoretical maximum, though, and a gas-cooled nuclear reactor's real efficiency would be lower because of things like friction, heat loss, and other system inefficiencies.
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The maximum theoretical efficiency of a heat engine operating between two temperatures is given by the Carnot efficiency, which is:
η_carnot = 1 - T_cold / T_hot
where T_hot and T_cold are the absolute temperatures of the hot and cold reservoirs, respectively.
To calculate the absolute temperatures from the given temperatures, we need to add 273.15 K to each temperature to convert from Celsius to Kelvin:
T_hot = 700°C + 273.15 = 973.15 K
T_cold = 27.0°C + 273.15 = 300.15 K
Substituting these values into the Carnot efficiency equation gives:
η_carnot = 1 - 300.15 K / 973.15 K = 0.692 = 69.2%
Therefore, the maximum theoretical efficiency of a heat engine operating between a hot reservoir temperature of 700°C and a cold reservoir temperature of 27.0°C is 69.2%.
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The absence of any mechanical linkage between the throttle pedal and the throttle body requires the use of a _______ motor.
A. Throttle
B. AC
C. DC
D. Stepper
The absence of any mechanical linkage between the throttle pedal and the throttle body requires the use of a . Stepper motor. Option D.
In modern vehicles, the throttle system is commonly controlled electronically using a stepper motor. A stepper motor is a type of electric motor that moves in discrete steps or increments, as directed by an electronic control unit (ECU) based on inputs from sensors, including the throttle pedal position sensor.
With the use of a stepper motor, there is no direct mechanical connection between the throttle pedal and the throttle body. Instead, the ECU interprets the position of the throttle pedal and commands the stepper motor to move the throttle plate accordingly, regulating the airflow into the engine.
The stepper motor provides precise control over the throttle position, allowing for smooth and accurate adjustments based on driving conditions and engine demands. The ECU can precisely control the throttle opening angle and adjust it in real-time, optimizing fuel efficiency, emissions, and overall engine performance.
Stepper motors are particularly suitable for this application as they can hold their position without power, provide precise control over angular displacement, and offer good torque characteristics.
They are commonly used in drive-by-wire throttle systems, where electronic signals replace mechanical linkages, providing improved responsiveness and integration with other vehicle control systems.
In summary, the absence of a mechanical linkage between the throttle pedal and the throttle body necessitates the use of a stepper motor for electronic throttle control, allowing for accurate and efficient regulation of the engine's air intake. So Option D is correct .
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Sean's bike begins to rust in the winter. what tells Sean that a chemical change is happening?
Answer:
The metal is beginning to rust
Explanation:
Because when it is out side a small layer of condensation begins to form which the turns to rust as it is outside colliding with the cold air
A 10 kg box slides down a lane inclined at an angle θ = 30 . The plane has a friction of coefficient 0.1. The box starts from the rest and slides down the plane for 2.0 s. What is the distance that the box travels down the plane?
Answer:
The distance the box traveled down the plane is 19.28 m
Explanation:
The angle of repose, α, is given by the relation;
tan⁻¹(μ) = α
tan⁻¹(0.1) = 5.7°
Therefore, we have;
M·g·sin(θ) - μ·N = M·a
Where:
M = Mass of the box = 10 kg
g = Acceleration due to gravity = 9.81 m/s²
θ = Angle of inclination of the plane = 30°°
μ = Coefficient of friction = 0.1
a = Acceleration of the box along the incline plane
N = Normal force due to the weight of the box = M·g·cos(θ)
10 × 9.81 × sin30 - 0.1 × 9.81 × cos(30) = 10 × a
48.2 = 10 ×a
a = 48.2/10 = 4.82 m/s²
The distance, s, traveled by the box is given by the relation;
s = u·t + 1/2×a·t²
Where:
u = Initial velocity = 0 m/s
t = Time of motion = 2.0 s
∴ s = 0×2 + 1/2 × 4.8 × 2² = 19.28 m
The box traveled 19.28 m down the plane.
The distance that the box travels down the plane is 8.1 m.
The given parameters;
mass, m = 10 kgangle, θ = 30⁰coefficient of friction, μ = 0.1time of motion of the box, t = 2 sThe acceleration of the box is calculated as follows;
\(\Sigma F_{net} = ma\\\\mgsin\theta - \mu mg cos\theta = ma\\\\gsin\theta - \mu g cos\theta = a\\\\g(sin\theta - \mu cos \theta ) = a\\\\9.8(sin30 \ - \ 0.1\times cos 30) = a\\\\9.8(0.413) = a\\\\4.05 \ m/s^2 = a\)
The distance traveled by the box down the plane is calculated as follows;
\(s= ut + \frac{1}{2} at^2\\\\s = 0 + \frac{1}{2} \times 4.05 \times 2^2\\\\s = 8.1 \ m\)
Thus, the distance that the box travels down the plane is 8.1 m.
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What type of boundary is depicted in the image below?
a.
transform
b.
collisional
C.
convergent
d.
divergent
Is torque only produced when the force is applied perpendicular to the moment arm?
The Torque is only produced when the force is applied perpendicular to the moment arm.
What is moment of force?The equal and opposite force acting at a point from the axis of rotation is called the moment.
M = F x r
Moment of force is also called as Torque.
Moment arm is the distance of the point of application of force from the axis of rotation of the body.
Thus, the perpendicular component only, produces the torque.
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hello people ~
During dry weather, while combing hair, sometimes we experience hair flying apart. The force responsible for this is
(a) force of gravity.
(b) electrostatic force.
(c) the force of friction.
(d) magnetic force.
Answer:
Electrostatic force
Explanation:
When we comb the hair
The comb gets positively charged.The hair got negatively chargedSo they get attracted and share electrons so that because of electrostatic forceA circuit with 0.7 A running through the battery and two 16 Ω resistors in parallel. What is the voltage of the battery?
Answer:
Below
Explanation:
The two PARALLEL resistors equal: 1 / (1/16 + 1/16) = 8 Ω
V = IR = .7 (8) = 5.6 v
Briefly discuss:
(i) The principles of detecting thermal neutrons utilizing a Si detector.
(ii) The physics of fast neutron detection.
(iii) The principle of operation of strip detectors for charged particle detection and
their application.
Answer:
(i) Si device are coated with B or Li for neutron detection
(ii) Fast neutrons are normally first slowed down to thermal energies before measurement
(iii) The strip detectors consists of p⁺ and n implants in the region of a very thin (300 to 400 μm) depletion zone though which the neutrons traverse producing a readout based on the generated charges being directed to the cathode, p⁺, material which then transmits the charge to the device electronics
Explanation:
(i) Detection of neurons with only an Si device in not possible due to the large neutrons path in Si such that the silicon needs to be coated with B or Li which readily interact with neutrons. The neutron interaction with the reactive coating produces an alpha particle which can be detected by the semi conductor and a nucleus
(ii) Neutrons having a kinetic energy that is more than 1 MeV which as such has a velocity of more than 15,000 km/s is known as fast neutrons or fission neutrons. The fast neutrons are slowed in a nuclear reactor by neutron moderation to thermal energies
Due their high speed, fast neutrons are normally slowed down which however results in the loss of some vector properties of the neutron
Techniques for fast neutron detection includes,
1) Recoil detectors which are capable of fast neutron detection without moderation
2) Bonner spheres detector first converts the fast moving electron to slow down before detection
3) Scintillation counter are widely used but require the conversion of the neutron to a charged particles before detection
(iii) Strip detectors provide high precision measurement of a particle's crossing point which can be further improved by use of low noise electronics
Applications of silicon strip detectors include
1) Particle tracking in research in particle physics
2) Particle tracking in researches in x-spectroscopy nuclear research
3) Imaging in x-talography
4) Medical research imaging
5) Particle tracking and imaging in astrophysics.
how does light reflect from one surface to another
Answer: Light reflects from a smooth surface at the same angle as it hits the surface.
Explanation: Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection
If a bowling ball weighing 3,630 g is accelerating down the alley at a rate of 4 m/s2, then what is the net force applied to the bowling ball?
Answer:
\(\huge\boxed{\sf F = 14.52\ N}\)
Explanation:
Given data:Mass = m = 3,630 g = 3.63 kg
Acceleration = a = 4 m/s²
Required:Force = F = ?
Formula:F = ma
Solution:Put the given data in the above formula.
F = (3.63)(4)
F = 14.52 N\(\rule[225]{225}{2}\)
ASAP! HELP!
A 66.4 kg person sits on the right end of a seesaw, 2.35m from the fulcrum. On the other end, how far from the fulcrum should a 84.2kg person sit to balance the seesaw?
1: 1.92 m
2: 1.85m
3: 2.08m
4: 1.61 m
Answer:
2. 1.85
Explanation:
the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85
How can a protective device minimizethe magnitude of the net
force acting on an egg in a cart during a collision?
A protective device such as an egg carton, foam padding, or bubble wrap can be used to minimize the magnitude of the net force acting on an egg in a cart during a collision by providing cushioning some of the impact.
What is magnitude?
Magnitude refers to the size or scale of an object, event, or phenomenon. It is typically used to describe the intensity or amplitude of a physical quantity, such as the strength of an earthquake or the brightness of a star. Magnitude is also used to quantify the size of a population, the severity of an economic downturn, or the power of a political movement. Magnitude is usually expressed as a numerical value, such as a number on a Richter scale or a magnitude rating on a star catalog. Magnitude can also be expressed in terms of a relative or subjective scale, such as a rating of “strong” or “weak” for an earthquake. Magnitude is often used in scientific research to quantify the size of a phenomenon, such as the magnitude of climate change or the magnitude of a new medical breakthrough.
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what byproduct is released during electron transport?
The end consequence is an inflow of neutrons into the mitochondria's intermembrane space and water formation in the mitochondrion as a byproduct.
Who or what is an electron?A opposite charges neutrino known as an electron can either be free or attached to an atom (not bound). One of the three main types atomic particles within an atom is an elementary particle that is bonded to it; its other three are protons and reactors.
What exactly are atoms and electrons?The negatively charged components of an atom are called electrons. The total negative charge of an atom's electrons counteracts the two electrons of its protons in the nucleus.
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Which two elements in the list would bond together based on their ionic charges? (30 points) potassium and iodine potassium and iodine potassium and neon potassium and neon calcium and neon calcium and neon calcium and potassium
Answer: Ionic bonds usually occur between metal and nonmetal ions.
Explanation:
What is the wavelength of the microwave?
The wavelength of the microwave, given that it is moving at a speed of 3.6×10⁸ m/s is 3 m (last option)
How do i determine the wavelength of the microwave?From the question given above, the following data were obtained:
Speed of microwave (v) = 3.6×10⁸ m/sFrequency of microwave (f) = 1.2×10⁸ HzWavelength of microwave (λ) = ?The wavelength of the microwave can be obtained as shown below:
Velocity (v) = wavelength (λ) × frequency (f)
3.6×10⁸ = wavelength × 1.2×10⁸
Divide both sides by 1.2×10⁸
Wavelength = 3.6×10⁸ / 1.2×10⁸
Wavelength = 3 m
Thus, from the above calculation, we can conclude that the wavelength of the microwave is 3 m (last option)
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Given that r is the radius of a conductor with resistivity p
a length L and a resistance of R, which of the following is
an equivalent expression to the ratio: p/m?
For a conductor with radius r, resistivity p, length L and resistance R; \([(R\pi r^2)/L]/m\) is an equivalent expression to the ratio \(p/m\).
What is resistance?Resistance refers to the property of a material or an object to resist the flow of electrical current through it. The given information about a conductor indicates that it has a radius r, a length L, and a resistance R.
The resistance R of the conductor can be expressed as:
\(R = (p*L)/A\)
where p is the resistivity of the conductor, L is the length of the conductor, and A is the cross-sectional area of the conductor given by:
\(A = \pi *r^2\)
Therefore,
\(R = (pL)/(\pi r^2)\)
Solving for p, we get:
\(p = (R\pi r^2)/L\)
We can now express the ratio p/m as:
\(p/m = [(R\pi r^2)/L]/m\)
where m is the mass of the conductor.
Since we do not have information about the mass of the conductor, we cannot simplify this expression any further.
Hence, \([(R\pi r^2)/L]/m\) is an equivalent expression to the ratio p/m.
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The chin is ______ to the eye.
a. superior
b. deep
c. inferior
d. lateral
Answer:
C.
Explanation:
inferior
Answer:
deep
Explanation:
it is the connection of the bone fragmentsin the eye located in the can area of the bomb magnetism of the human body