The spacing between the lines is 3.33 X 10⁻³ mm and the estimated uncertainty in the line spacing is 3.33 X 10⁻⁵ mm.
Diffraction grating = 300 lines/mm
Thus,
The spacing between the lines = d =
= d = 1/300 lines/mm
= d = 3.33 X 10⁻³ mm
A grating consists of many slits, or lines, close together. In a grating, the spacing between adjacent lines is constant. Gratings are also used to produce interference patterns. When waves are incident on a grating all of the lines act as coherent sources of the waves.
Now, the uncertainty in the lines spacing is = Δ d =
= Δd = d (tolerance)
= Δd = 3.33 X 10⁻³ X 1%
= Δd = 3.33 X 10⁻⁵ mm
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if the coefficient of kinetic friction between tires and dry pavement is 0.83, what is the shortest distance in which you can stop an automobile by locking the brakes when traveling at 21.2 m/s ?
The shortest distance required to to stop the automobile by locking the brakes is 27m.
The coefficient of friction is 0.83 between tires and dry pavement.
We have to find the shortest distance in which the automobile should come to stop from 21.2m/s.
The net acceleration of the automobile is,
a = Fr/m
Fr is the frictional force,
m is the mass of the body,
a= ug
g is the gravitational acceleration.
Putting values,
a = 0.93 x 9.8
a = 8.31 m/s².
Now, using the equation of motion,
V² - U² = 2as
s is the stopping distance,
V is the final speed,
U is the initial speed,
a is the acceleration of the automobile.
Putting values,
(21.2)² = 2 x 8.13 x s
s = 27m.
So, the stopping distance of the automobile is 27m.
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If you are parking with your vehicle facing uphill on a road with a curb, you should turn your wheels in what direction?.
When you park and your vehicle is facing uphill and there is no curb, your wheels should be turned so that they point towards the side of the road .
If your vehicle rolls backward since , it is on a hill and it can roll back , you don’t want it rolling into traffic.So you would turn your wheels towards the road so if the car rolls back it will go onto the ditch, or onto someone’s lawn and not into moving traffic.If it ended up getting into the traffic it will be more dangerous for your car as well as for the other cars as it will increase the possibility of accident and cars can get damaged and you also will probably be held liable for the damage to the other car as well, so it is better if it rolls off of the roadway .To know more about curbs visit:
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What can happen to solar radiation when it enters Earth’s atmosphere?
It is reflected by the surface of the Earth, reflected by clouds, and upper atmosphere.
What is Earth-Atmosphere Energy?The energy balance between the earth and atmosphere is reached when the energy from the Sun equals the energy that is lost by the Earth back into space. When it reaches the Earth, a portion of it is absorbed by the atmosphere, a portion is reflected back into space by clouds, and a portion is absorbed at the planet's surface. The Earth emits lesser (long wavelength) infrared light than the Sun because it is much cooler than otherwise.
The various surfaces that the solar radiation comes into contact with provide it the opportunity to undergo a variety of varied experiences. When solar radiation strikes the Earth, some of it is absorbed by the planet and some is reflected back into space.
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The expansion of the universe after its origin takes place by a phenomenon called.
Expansion of the universe after its origin takes place by a phenomenon called inflation.
What is inflation?In physical cosmology, a theory of exponential expansion of space in the early universe is called inflation.
Prior to the Big Bang, the universe underwent a breathtaking cosmic expansion, doubling in size in a fraction of a second. This rapid inflation, fueled by energy that permeated empty space and left the universe desolate and cold.
The Big Bang theory explains how the universe got from the hot dense state of the early universe to the cold dense state whereas cosmic inflation is an explanation of some properties of the cosmic microwave background radiation.
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the temperature is increased from 20°c to 100°c. by what factor does the rms speed of an ideal molecule change?
In version 1.1, the temperature is raised to 100°C from 20°C. what variable affects the ideal molecule's rms speed.
What is temperature and what is its unit in physics?The kelvin is the fundamental unit of heat in the European System of Units (SI). Its identifier is K. The Celsius measure, in which 0 degrees corresponds approximately to the freezing temperature and 100 degrees to its boiling temperature at sea level, is frequently practical for use in common applications.
Briefing:Create the equation for the gas's RMS speed.
Vrms = [tex]\sqrt{3RT}/M[/tex]
In this case, R stands for the air constant, T for temperature, and M for molecular size.
The numerator of the temperature is approximately equal to the RMS speed of both the gas, according to the expression above.
(Vrms)₁/(Vrms)₂ = [tex]\sqrt{T1}[/tex]/[tex]\sqrt{T2}[/tex]
= [tex]\sqrt{20+273 K}[/tex]/[tex]\sqrt{100+273 K}[/tex]
= [tex]\sqrt{293 K}[/tex]/[tex]\sqrt{373 K}[/tex]
= 0.886 (Vrms)₂
= 1.12 (Vrms)₁
The complete question is-
If the temperature of a gas is increased from 20°C to 100°C, by what factor does the rms speed of an ideal molecule change?
A) 1.1
B) 1.3
C) 2.2
D) 1.6
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rank the block based on its electrical resistance along the three illustrated coordinate directions (x, y, and z).
The resistance is halved and ranking is y, z, x
Let x. = 3 cm., y = 10 cm., z. = 4 cm.
resistance is proportional to L/A where L is the length along the current, A is the area of cross section,
along x direction: L = x, A = yz, so L/A = x/yz = 3/40 = 0.075
along y direction: L = y, A = xz, so L/A = y/xz = 10/12 = 0.833
along z direction: L = z, A = xy, so L/A = z/xy = 4/30 = 0.133
a) rank: y, z, x
Depending on its shape and the material it is made of, an object's resistance varies. We can learn more about the resistance of more complex shapes by using the straightforward analysis of the cylinder resistor in Figure 1. The cylinder's electric resistance R, which is comparable to a pipe's resistance to fluid flow, is directly proportional to its length L, as one might anticipate. More collisions will occur between charges and its atoms the longer the cylinder is. A cylinder's capacity to carry more current increases with its diameter. The cylinder's cross-sectional area A and R are actually inversely proportional.
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What can happen to solar radiation when it enters Earth’s atmosphere?
When solar radiation is enters Earth’s atmosphere it absorbed or reflected as it travels to the earth's surface.
What is Solar Radiation?The electromagnetic radiation that the sun emits is known as solar radiation, sometimes referred to as the solar resource or just sunshine. With the use of various technologies, solar radiation may be absorbed and converted into usable forms of energy like heat and electricity.
When solar radiation penetrates the earth's atmosphere, it travels and collides with the ground. The earth absorbs some of the rays, while the remainder are reflected back into the atmosphere. A layer of gas called a blanket of greenhouse gases in the atmosphere absorbs some of the reflected rays, while a minute fraction escapes back into space.
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7. the fact that voltage can be created by exerting force on a crystal is used for which type of sensor?
A knock sensor is used where voltage is created by exerting force on a crystal.
What is a force?A force is a pushing or pulling that an object feels as a consequence of engaging with another thing. Every time two objects contact, a force is applied to everything in the system. When the interaction is finished, the force is no more sensed by the two objects. Forces are merely interactions; they do not exist in isolation.
what does a sensor do and what are some examples?A sensor is a tool that collects physical information from its surroundings and transforms it into information that can be used by either a machine or a human to understand. Most sensors (which transform the data into electronic data) are electronic, but some are simpler, such as a glass thermometer that displays visual data.
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consider a piezoelectric common rail injector. what happens to the actuator when current is initially applied to the crystals?
According to the piezoelectric actuator's operating principle, when voltage is applied, the piezoelectric actuator produces a little displacement with a large amount of force.
As a result, they are utilized in a variety of applications such as ultra-precize positioning, high force handling, and force generating under fixed or dynamic settings. The Piezoelectric Injector is crucial to the operation of contemporary common rail technology. In Piezo diesel injectors, when an electrical voltage is applied, Piezo crystals slightly expand, changing their structural properties in less than a thousandth of a second. Electric potential difference between two sites is referred to as voltage, also known as electric pressure, electric tension, or (electric) potential difference. The work required to transport a unit of charge in a static electric field correlates to this.
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the sun is a little over 100 times larger than the earth. so, if the earth was the width of a paperclip, then the sun would be
If the Sun is around 100 times larger, then 100 times the width of a paperclip is about a meter or 3 feet or the height of a standard table.
Our Sun is 864,000 miles in diameter and 10,000 degrees Fahrenheit on the surface whereas 7,917.5 miles in diameter and 57 degrees Fahrenheit on surface.
The Sun is the star at the center of the Solar System. Its mass is about 330,000 times that of Earth, comprising about 99.86% of the total mass of the Solar System.The Sun is a G-type main-sequence star (G2V).The central mass became so hot and dense that it eventually initiated nuclear fusion in its core.
Earth is the third planet from the Sun. The atmosphere of the Earth consists mostly of nitrogen and oxygen.It is the densest planet in the Solar System.
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a solid cylinder has a mass of 5 kg and a radius of 30 cm. a torque of 40 nm is applied to the cylinder. what will be its angular acceleration?
A solid cylinder has a mass of 5 kg and a radius of 30 cm. a torque of 40 Nm is applied to the cylinder, then its angular acceleration 177.77 m/s^2.
Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Angular acceleration is a quantitative expression of the change in angular velocity per unit time.
Let T be the torque, I be the Inertia and a be the angular acceleration.
In the angular form of Newton's second law, rotational inertia replaces mass and torque (tau) replaces force. The relationship between angular acceleration and torque is true when an object's rotational inertia is constant.
F = ma
T= I x a (1)
and I = 1/2 x M x R^2
I = 1/2 x 5 x (0.3)^2 Kgm^2
According to equation 1
a = T/I
a= 40/0.225 = 177.777 m/s^2.
Therefore, angular acceleration is 177.77 m/s^2.
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if two objects, a and b, of different temperatures come into direct contact, what is the relationship between the heat lost by one and the heat gained by the other? what is the relationship between the temperature changes of these two objects?
The heat lost by one object is equal to the heat gained by the other.
What is heat?
heat is the energy that moves from one body to another when temperatures are different. Heat flows from the hotter to the colder body when two bodies with various temperatures are brought together. Usually, but not always, this energy transfer results in a rise in the temperature of a colder body and a fall in the temperature of a hotter body. By transitioning from one physical state (as well as phase) to another, such as from a phase from solid to liquid (melting), from the a solid to the a vapour (sublimation), from the a liquid to a vapour (boiling), either from one solid form to another, a substance can absorb heat without increasing in temperature.
This is because of the law of conservation of energy, which states that energy cannot be created or destroyed. As a result, the temperature of both objects will change until they reach the same equilibrium temperature. This is known as the law of thermal equilibrium, which states that the temperature of any two objects in thermal contact will eventually reach the same temperature.
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serenity asks carlos what conditions are needed to observe interference of waves from two sources. which responses are correct? (select all that apply.)
The sources of the waves must be coherent, which means they emit identical waves with a constant phase difference. The waves should be monochromatic - they should be of a single wavelength.
What is interference of waves ?In physics, interference is the overall result of two or more wave trains travelling in parallel or converging directions. At each place impacted by many waves, the effect is that of adding the individual wave amplitudes.
Interference comes in two flavours positive interference and destructive interference. Additionally, when wave amplitudes reinforce one another and cause an increase in wave amplitude, constructive interference occurs.
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if the work done by a battery to move a unit charge through the battery from one terminal to the other is doubled, what is the effect on the battery's emf?
The emf is doubled
The change in electric potential energy of a charge is equal to the work done by a battery to carry a unit charge across the battery from one terminal to the other, hence it may be expressed as
w=qΔV
where
The charge is q.
ΔV is the difference in potential that the charge has traveled through.
The potential difference is equal to the battery's emf because the charge is flowing through the battery e, which means.
W=qe (1)
We are informed in this issue that the battery's output has increased, so
w'=2W
We can see from eq. (1) that the battery's emf is proportional to the work performed; as a result, when the work doubles, so does the battery's emf.
What is potential difference?
The difference in charge carriers energy between two places in a circuit is known as the potential difference.
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a force of 30 n acts on a 2 c charge in a 5 t magnetic field. if the charge is moving perpendicularly to the field, how fast is it moving?
The velocity by which charge is moving is 3m/sec if a force of 30N acts on it in a 5Tesla magnetic field.
We know very well that a moving charge can produce both magnetic field and electric field. Static charge is only able to produce electric field.
Moving charge has velocity due to that it is able to produce magnetic field.
Now, direction of charge is very important as it will decide whether force act on the charge applied by the magnetic field or not.
Now, We know very well that force exerted by magnetic field on the charge is given by(F)=qvBsinθ where
q is the amount of charge,
v is the velocity of charge
F is the amount of force
B is the amount of magnetic field and
sinθ is the angle made by the charge with the plane of magnetic field.
Since charge is moving perpendicularly to the field, therefore value of sinθ=1
Now, F=qvBsinθ
=>v=F/qvBsinθ
=>v=30/(2×5×1)
=>v=30/10
=>v=3m/sec
Hence, velocity of charge is 3m/sec.
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which properties of our universe are well-explained by the standard big bang model, and which properties are not well-explained?
The universe's mass-energy density would be similar to the critical density based on the characteristics, which are comparative abundances of the exceptionally light elements.
What are properties in science?Properties are the features that allow us to distinguish between different types of materials. A feature of material that is unrelated to its chemical makeup is called a physical property. Attributes include things like density, color, hardness, melting and liquid and a gas, and electrical conductivity.
What do you mean properties?Anything that a individual or a company has legal ownership is considered property. Property can relate both to real objects, like homes, automobiles, or appliances, as well as intangible items with the potential for future value, like stock and bond certificates.
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what is the acceleration of a car that starts at 0 and goes to 45mph in 5 seconds
The acceleration of the car will be 9m/s2.
What is acceleration?Acceleration is the rate of change in velocity. Involves a change in speed and direction. When acceleration involves a change in speed only: Positive acceleration it occurs when an object speeds up. Negative acceleration occurs when an object slows down. Acceleration is a change of velocity over a period of time.
Using the formula;
[tex]a = \frac{v-u}{t}[/tex]
v = final velocity (45mph)
u = initial velocity (0)
t = 5 seconds
[tex]a = \frac{45 - 0}{5}[/tex]
a = 9m/s2.
In conclusion, the acceleration of the car will be 9m/s2.
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The acceleration of the car moving with a velocity of 13.37m/s in 5s is 2.67m/s²
What is acceleration?Acceleration is the rate of change of velocity with time. It is the measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is a vector quantity.
Acceleration = change in velocity/ time
therefore a= (v-u)/t
where v = final velocity and u= initial velocity, t is the time
since 1meter = 0.000621miles and 60×60 seconds is 1hour, then
45 mph to m/s is 45×1609.344/60×60
= 48120.48/3600= 13.37m/s
a= (13.37-0)/5
a= 13.37/5
a= 2.67m/s²
therefore the acceleration of the car is 2.67m/s²
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a 34 kg child is riding a playground merry-go-round that is rotating at 15 rev/min. what centripetal force must she experience to stay on the ride if she is 1.2 m from its center?
100.56N to maintain her position. A force that causes a body to maintain a curved path is known as a centripetal force. .
What is the centripetal force calculation formula?The formula for centripetal force is supplied by the mass, velocity, and radius. f c = m v 2 / r. Where m = mass; v = velocity; and r = radius, fc = centripetal force. We must be aware that this formula resembles the traditional formula for the force in several ways.
Briefing:Given
The child's mass= (34 kg)
Weight (mg)= (34x9.8=333.2N)
And distance from the center
(w=215/60=1.570),
The distance from the center is 1.2 meters.
She applies centripetal force of
F=m(w)*2xr
F=34x(1.570)*2x1.2
F=100.56N to maintain her position.
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two charged particles 1 m apart exert a 1-n force on each other. if the magnitude of each charge is doubled, the force on each particle will be
4F will be force if the magnitude of each charge is doubled,
F=q1q2/r²
F1=2q12q2/r²= 4F
An object experiences a push or a pull when it interacts with another thing. When two items come into touch, a force is applied to each object. The force between the two items is gone after the encounter. Forces do not exist independently; they are only interactions.
Contact forces are produced when two things interact and appear to be in physical contact with one another. Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Action-at-a-Distance forces are still there even when two interacting objects are separated from one another by a great distance.
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The need to extend the model A. The circuit at right contains three identical bulbs and an ideal battery. Assume that the resistance of the switch, when closed, is negligible. Use the model we have developed to Ope Sw * predict the relative brightness of the bulbs in the circuit with the switch closed. Explain. predict how the brightness of bulb A changes when the switch is opened. Explain in Show that a simple application of the model for current that we have developed thus far is inadequate for determining how the brightness of bulb B changes when the switch is opened B
The brightness of a bulb connected to two parallel cells is equivalent to that of a bulb connected to one cell. The voltage is 1.5 V in both instances.
The lifespan of two parallel cells is double that of a single cell. A bulb with two cells connected in series will be brighter but last the same amount of time as one cell. shutoff switch Shorting off bulb A from the circuit. As a result, the overall resistance is reduced, the current is raised, and bulb D becomes brighter. So, turn off all 4 switches to boost D's brightness. The amount of electricity passing through the bulb determines how bright it is. The brightness would grow when the current was raised. As current increases, the brightness of the light the bulb emits also increases.
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how much heat (in kj) is required to warm 15.0 g of ice, initially at to steam at . the heat capacity of ice is , and that of steam is .
The ice must be warmed with 4.719 kJ of heat.
How do you calculate heat to melt ice?Let's have a look at the energy required to melt one kilogramme of ice at absolute zero to create one kilogramme of water at absolute zero. We determine that Q = mLf = (1.0 kg)(334 kJ/kg) = 334 kJ is the energy required to melt a kilogramme of ice using the equation for a change in temperature and the value for water from Table 1.The quantity of heat energy required to transform materials from a solid to a liquid is known as the heat of fusion (melting.)The heat of fusion calculation formula is q = mHf.2090 Joules/kg C is the specific heat of ice.Given data :
The mass of ice is, m = 10.0 g.The initial temperature is, T = - 10 degree Celsius.The final temperature is, T' = 110.0 degree Celsius.The heat capacity of ice is, c = 2.09 J/g C.The heat capacity of steam is, c' = 2.01 J/g C.When ice absorbs heat, the conversion takes place from ice to water (liquid) and from the liquid to steam at 110 degree Celsius. So,
The amount of heat absorbed is given as,
Q = m[c(T' - T) + c'T']
Q = 10 [ 2.09 ( 110 - ( -10) + ( 2.01 x 110) ]
Q = 4719 J
Convert in kJ as,
Q = 4719/1000
Q = 4.719 kJ
Thus, we can conclude that the amount of heat required to warm the ice is 4.719 kJ.
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find q1 , the volume of fluid flowing into the pipe per unit of time. this quantity is also known as the volumetric flow rate. express the volumetric flow rate in terms of any of the quantities given in the problem introduction.
The q1 is the pipe diameter, v is the velocity of the fluid, and π is the constant 3.14.
What is velocity?
When an object is moving, its velocity is indeed the direction it is moving in as a measure of how quickly its position is changing as seen from a specific point of view and so as measured by a specific unit of time, such as 60 km/h in a northerly direction. Kinematics, the area of classical mechanics which studies how bodies move, uses the concept of velocity as a fundamental building block. It takes both direction and magnitude to define velocity, a physical vector quantity. Speed is a coherent derived unit that expresses the scalar absolute value (amplitude) of velocity. Its quantity is expressed in SI (metric system) units of meters per second (m/s or ms1). The terms "5 metres per second" and "5 metres per second east," for instance, denote scalar and vector, respectively.
The volumetric flow rate can be expressed in terms of the pipe diameter, the velocity of the fluid, and the cross-sectional area of the pipe.
Volumetric flow rate = (cross-sectional area)(velocity)
Volumetric flow rate = (π x (q1/2)²) x v
where q1 is the pipe diameter, v is the velocity of the fluid, and π is the constant 3.14.
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if every sun-like star had an earth-like planet in an earth-like orbit, how many could be detected by a transit?
If every sun-like star had an earth-like planet in an earth-like orbit, then the transit would be 1 in 200.
Explain in detail.
The transit technique has been used to find the majority of known exoplanets. When a planet passes in front of an observer and a star, it is said to be transiting. When Venus or Mercury pass in front of Earth and the Sun, transits inside our solar system can be seen from the planet.Less than 1% of the stars Kepler will observe are located within 600 light-years of Earth. Kepler cannot witness the transits necessary to find planets the size of Earth from stars more than 3,000 light years away because to their faintness.To know more about Kepler here
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A car battery is rated at 40 Ah. In theory, how long does this suggest the battery could light a headlamp bulb which draws 2 A from the battery?
The battery will light the headlamp bulb for 20hours
What is battery run time?A battery run time is the total time in hours that a battery can sustain a certain power output.
Battery run time can also be defined as the ratio of the battery capacity in( Ah) and the current of the load in( A) i.e
Battery Life (in hours) = Battery Capacity (in Ah) / Load Current (in A).
The battery capacity is 40Ah and the the load takes a current of 2A
therefore the time it will take the battery to run out is
40/2= 20hours
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what is the minimum thickness of film required? assume that the wavelength of the light in air is 480 nanometers.
Assuming a wavelength of 500 nm for light in air, the minimum film thickness required is 83.9 nm.
How do you calculate destructive interference?refractive index of polystyrene; η_p = 1.49
Refractive index of fablite; η_f = 2.409
The wavelength of light in air is 500nm.
To answer this question, we know that light is first reflected twice.
Once from the top coating layer and once from the contact between the coating and the polystyrene material.
The additional path of light in the coating is 2t, but the path difference is 2tp. Therefore, the minimum required film thickness is given by the formula used in destructive interference, namely 2tη_p = λ/2.
t = λ/2 * 1/2η_p
t = λ/(4η_p)
t = 500/(4 * 1.49)
t = 83.9 nm
So, assuming a wavelength of 500 nanometers for light in air, the minimum required film thickness is: 83.9 nanometers
The full question is:
A thin polystyrene film is used as an anti-reflection coating on fablites (known as substrates). Polystyrene has a refractive index of 1.49 and fablite has a refractive index of 2.409. What is the minimum film thickness required? Suppose the wavelength of light in air is 500 nanometers.
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If one of the rocks that you were analyzing for density suddenly split in two, and you were only able to measure the mass and volume of a smaller piece, would that change the outcome of your calculation?.
The answer is C) No, and that is called an intensive property.
What is mass?mass is a very large amount of number or something.
Intensive properties are those that do not depend on the mass or size of a body. If the system is divided into several subsystems its value will remain unchanged, therefore they are not additive
Examples of intensive properties are elasticity, speed, specific volume (volume occupied by the unit of mass), density, boiling point, melting point, viscosity, hardness, concentration, solubility, odor, color, taste, conductivity, porosity, pressure, temperature, etc., in general, all those that characterize a substance distinct from others.
For instance if we have a liter of water, your boiling point is 100 °C (at 1 pressure atmosphere). If another liter of water is added, the new system, made up of two liters of water, has the same boiling point as the original system. This illustrates the non-additivity of intensive properties.
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The light energy that falls on a square meter of ground over the course of a typical sunny day is about 20 MJ . The average rate of electric energy consumption in one house is 1.0 kW .
Part A got answer for part A and is correct
On average, how much energy does one house use during each 24 hr day?
Express your answer using two significant figures.
=86 MJ
Part B
If light energy to electric energy conversion using solar cells is 15%efficient, how many square miles of land must be covered with solar cells to supply the electrical energy for 250,000 houses? Assume there is no cloud cover. A=___________mi^2
86.4×10^6 joule is energy does one house use during each 24 hr day.
20 MJ of light energy
Consumption of electricity is 1 kW.
The energy consumption lasts for 24 hours.
energy=power×time
energy=10^3×24×3600
energy=86.4×10^6 joule
Energy in physics is the ability to perform work. Different shapes, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc., may be assumed by it. Other examples of energy being transferred from one body to another include heat and work. Energy is always distributed after it has been transported in accordance with its type. Thus, heat transfer could result in thermal energy, whereas work could result in mechanical energy.
Motion is a trait shared by all forms of energy. For instance, if a body is moving, it has kinetic energy. Due to the object's design, which incorporates potential energy, a tensioned object, like a spring or bow, has the ability to move even when at rest.
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if you triple the distance between two point charges, by which factor does the force between the particles change?
Coulomb's Law states that the force exerted on two electrostatic force is inversely correlated to their square of distance. As a result, is if distance is quadrupled, it force will be nine times weaker.
What is the definition of force?The meaning of force in physics is: This press or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It does have a trajectory and a magnitude.
Which two types of force are there?Contact forces & react at a range forces are the two different types of forces. Your daily use of force is evident. Basically, push and pull are forces. You exert force on an object when you push against it or pull against it.
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in each of the four scenarios shown in the images, a large bat lets out a short burst of ultrasonic sound, which a smaller bat hears a moment later. if the large bat flies at 3.750 m/s and the small bat flies at 13.60 m/s , order the frequencies that the smaller bat detects in the four scenarios from highest to lowest. assume that the speed of sound is 343.0 m/s . a. the large bat is on the left and is flying to the right. the small bat is on the right and is flying to the right. b. the large bat is on the left and is flying to the left. the small bat is on the right and is flying to the right. c. the large bat is on the left and is flying to the right. the small bat is on the right and is flying to the left. d. the large bat is on the left and is flying to the left. the small bat is on the right and is flying to the left.
The frequency from highest to lowest will be C, A, D, B
Given,
Velocity of large bat = 3.750 m/s
Velocity of small bat = 13.60 m/s
Speed of sound = 343 m/s
Frequency of initial signal = 40.20 kHz
To find,
Frequency heard by small bat in scenario C is
f' = f(V +V₀) / V - V(s)
f' = (40.2)(343 + 2.54) / (343 - 15.2)
f' = 42.3755 Hz
The reflected wave heard by large bat is
f'' = f'(V + V₀) / V - V(s)
f'' = (42.3755)(343 + 15.2) / (343 - 2.54)
f'' = 44.5836 kHz.
Therefore, the total sound frequency of the two bats is 44.5836 kHz and the order of sound frequencies of the bats are C, A, D, B.
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a certain kind of glass has an index of refraction of 1.650 for blue light of wavelength 430 nm and an index of 1.615 for red light of wavelength 680 nm. if a beam containing these two colors is incident at an angle of 30.00° on a piece of this glass, what is the angle between the two beams inside the glass?
The angle between the two beams inside the glass is 0.38⁰.
What is the angle between the two beams inside the glass?The angle between the two beams inside the glass is calculated by applying the following formula.
Let the angle of refraction of the red light = θ₁
Let the angle of refraction of the blue light = θ₂
The difference in the angle of refraction of the red light and the blue light is calculated as;
Δθ = θ₁ - θ₂
Δθ = arc sin(sinθ₁ / n₁) - arc sin(sinθ₂/n₂)
where;
n₁ is the refractive index of the red light n₂ is the refractive index of the blue lightΔθ = arc sin(sin30 / 1.615) - arc sin(sin30/1.650)
Δθ = 0.376⁰
Δθ ≈ 0.38⁰
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