A RAU80 with 4-lanes and a design radius of 300m requires a spiral-circular curve-spiral transition system, the deflection angle at the Point of Intersection is 16d30m14.0s.
a) Using Superelevation and Minimum Spiral Parameters, emax = 0.06 m/m what is the minimum recommended spiral parameter?
b) Determine the distance P
c) Determine the distance Q
d) Determine the angle Φs
e) Determine the distance Tc
A) Minimum recommended spiral parameter: 150.03m.
b) Distance P: 150.03m.
c) Distance Q: 4.122m.
d) Angle Φs: 16°30'14.0".
e) Distance Tc: 150.03m.
a) Calculation for the minimum recommended spiral parameter:
Design radius (R) = 300 m
Maximum superelevation (e_max) = 0.06 m/m
Spiral Parameter (A) = (R + e_max) / 2
A = (300 m + 0.06 m/m) / 2
A ≈ 150.03 m
b) Calculation for the distance P:
Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.
P ≈ 150.03 m
c) Calculation for the distance Q:
Distance Q represents the length of the circular curve. It is given by the formula:
Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)
Deflection angle at Point of Intersection = 16°30'14.0"
Converting the angle to decimal degrees:
16° + (30'/60) + (14.0"/3600) = 16.504°
Q = 16.504° / (360° / D)
Q ≈ D / 21.814
Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.
Q ≈ 90° / 21.814
Q ≈ 4.122 m
d) Calculation for the angle Φs:
The angle Φs is the deflection angle at the Point of Intersection.
Φs = 16°30'14.0"
e) Calculation for the distance Tc:
Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.
Tc ≈ 150.03 m
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Which factors affect the gravitational force between objects? Check all that apply.
difference in speed of objects
direction of movement of objects
distance between objects
masses of the objects
volumes of the objects
Explanation:
distance between both objects and masses of the objects
Answer:
the answer is C and D
Explanation:
did it on edge
hope u have better day than me
hope this helps
HELPPPPPP!!!!! PLEASE!!!!!!!!! Explain how to build a Faraday motor in three to five complete sentences.
First, create a permanent magnet with two poles. This can be done by winding an insulated wire around a ferromagnetic material such as steel or iron. The magnet will then be placed into a stand.
Next, create a coil of wire that is connected to a power source. This coil should be placed near the magnet such that the two poles of the magnet attract and repel the current in the coil. When power is applied to the coil, the electric field generated by the coil causes the magnet to rotate.
Finally, adjust the power source to control the speed of the motor. The more power applied to the coil, the faster the magnet will rotate. The speed of the rotation can also be controlled by changing the distance between the coil and the magnet.
By following these steps, a Faraday motor can be built. With the right tools and basic knowledge of electricity and magnets, a Faraday motor can be used to generate motion.
What is a Faraday motor?A Faraday motor is a type of motor that uses the principles of electromagnetism to generate motion. It is named after Michael Faraday, the 19th century scientist who discovered the principles of electromagnetism. Building a Faraday motor requires basic knowledge of electricity, magnets and simple tools.
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Which statement is the best interpretation of the ray diagrem shown below
Answer:
B...................
Answer:
Option A is correct: "A concave mirror forming a larger, virtual image"
Explanation:
There are two types of mirror:
Concave (converging) mirrors: a concave mirror is a mirror that reflects the light inward
Convex (diverging) mirrors: a convex mirror is a mirror that reflects the light outward
The image formed by a mirror can also be of two types:
Real image: it is formed on the same side of the object, with respect to the mirror
Virtual image: it is formed on the opposite side of the object, with respect to the mirror
In the figure of this problem, we see that:
< The mirror reflects the light from the object inward --> so it is a concave mirror
< The image is formed on the other side of the mirror --> it is a virtual image
So the correct option is
A) A concave mirror forming a larger, virtual image
What is the acceleration of a vehicle that travels at a steady speed of 100 KM/HR for 10 seconds?
Answer:
Since (average) acceleration = (change in velocity)/(time it takes), the car's acceleration = (100 km/h)/(10 s) = 10 km/h/s. This means that, on the average, the car's velocity changed by 10 km/h each second.
Explanation:
Among discovered meteorites, we have found some with all the following origins EXCEPT... A. Being a fragment of a shattered asteroid. B. Being a fragment from the surface of the Moon. C. Being a fragment from Cornet Halley. D. Being a fragment from the surface of Mars.
We have discovered meteorites with ALL of the following sources, EXCEPT one being a piece of the comet Halley, among the identified meteorites.
Where do most meteors come from? Most meteors come from what place?Our solar system is where all meteorites originate. Most of them are pieces of ancient asteroids that shattered into smaller pieces in the asteroid belt, which is situated between Mars and Jupiter.
How did asteroids get their start?Asteroids are remains of the solar system's creation, which occurred around 4.6 billion years ago. Early on, the formation of Jupiter stopped any planetary bodies from forming in the space between Mars and Jupiter, causing the small particles that were already present to smash and shatter into the asteroids we know today.
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A forward force acting on the axle accelerates a rolling wheel on a horizontal surface. if the wheel does not slide the frictional force of the surface on the wheel is:______.
If the wheel is rolling without sliding on a horizontal surface, the frictional force between the surface and the wheel is static friction.
The static frictional force opposes the tendency of the wheel to slide. In this case, the forward force acting on the axle provides the torque necessary to accelerate the wheel. As the wheel accelerates, the static frictional force adjusts to match the force needed to prevent sliding.
The magnitude of the static frictional force can be calculated using the equation:
Frictional force = μs * Normal force,
where μs is the coefficient of static friction and Normal force is the perpendicular force exerted by the surface on the wheel.
Since the wheel is not sliding, the static frictional force is equal to the force exerted on the wheel. Therefore, the frictional force of the surface on the wheel is equal to the forward force acting on the axle.
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What is needed in a market for a good to be considered elastic?
If the amount demand of a product changes more than proportionally as its price rises or falls, then it is said to be elastic.
How is a market made elastic?The more replacements there are for an item, more elastic the good is, according to definition of an elastic good, which is where change in price results in a large movement in demand. Price elasticity of demand is determined by dividing percentage change in quantity required by the percentage change in price.
Products like cars, appliances, and luxury items that are rarely purchased are examples of elastic commodities. In the event that the cost of these products is momentarily high, consumers may decide to put off buying.
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A train is moving 4.82 m/s when it begins to accelerate. After 24.8 s, it is moving 7.09 m/s. How far did it move in that time?(Unit = m)
The displacement of train moves is s = 147.68m.
Equation :To calculate the displacement train moves using the formula of equation of motion,
s = 1/2 ( u + v ) t
Where,
s is displacement
u is initial velocity
v is final velocity
t is time
Given data :
u = 4.82 m/s
v = 7.09 m/s
t = 24.8 s
s = ?
Now, putting the values in equation we get,
s = 1/2 ( 4.82 m/s + 7.09 m/s ) 24.8 s
s = 1/2 x 11.91 m/s x 24.8 s
s = 147.68 m
Hence, the displacement of train moves is s = 147.68m.
Equation of motion :The fundamental equation of motion in classical mechanics is Newton's second law, which declares that the force F acting on a body is equal to that body's mass m times its center of mass's acceleration a, or F = ma.
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Why we need football?
Answer:
bc we play when we are bored and some people use it as a tradition to play on thanksgiving
Please help me
27. A 20 kg object is at rest. A 6 N force pulls to the right on
the object for 10 seconds.
A) Find the impulse on the object.
B) Find the final momentum of the object.
C) What is its final velocity?
Answer:
a. 60 N*s
b. 60 (kg*m)/s
c. 3 m/s
Explanation:
Givens:
m = 20 kg
v_i = 0 m/s
t = 10 s
F = 6 N
a) Impulse:
I = F*t
I = 6 N*10 s
I = 60 N*s
b) Momentum:
p = v*m
F = m(a)
a = F/m
a = 6 N/20 kg
a = 0.3m/s^2
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
p = 3 m/s*20 kg
p = 60 (kg*m)/s
c. Final velocity
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
The impulse, momentum and final velocity can all be obtained from Newton's second law.
Let us recall that the impulse is obtained as the product of force and time.
Impulse = Force × time
Impulse = 6 N × 10 s = 60 Ns
From Newton's second law of motion;
F.t = mv - mu
Since the object was initially at rest;
F.t = mv
Hence, the final velocity of the object is 60 Kgms-1
The final velocity is obtained from;
F.t = mv
v = F.t/m
v = 6 × 10/20
v = 3 m/s
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A Rac variant, in which the residue at position 61 was replaced with an alanine (Rac61A), was synthesized. Wild-type Rac and Rac61A were incubated separately with VopC. To obtain data to support that VopC modifies Rac at residue 61, the samples should be analyzed for the presence of which compound?
Answer:
Ammonia, \((NH_{3})\)
Explanation:
If a Rac variant, in which the residue at position 61 was replaced with an alanine (Rac-61A), was synthesized. Also, Wild-type Rac and Rac-61A were incubated separately with VopC.
In order to obtain data to support that VopC modifies Rac at residue 61, the samples should be analyzed for the presence of Ammonia (\(NH_{3}[\tex]) compound.
In chemistry, the Vanadyl Phthalocyanine (VopC) comprises of a catalytic domain that activates host cells GTPase Rac irreversibly, through the deamide side chain of the residue existing at position 61.
Also, we know that a deamidation reaction gives off Ammonia, \((NH_{3})\) and as such when ammonia is present in the sample containing Wild-type Rac but not in Rac-61A, this simply proves or provide the data to support that VopC modifies Rac at residue 61.
Additionally, deamidation can be defined as the chemical conversion (hydrolysis) of an amide functional group such as glutamine, asparagine, in a polypeptide to another functional group such as glutamic acid or isoaspartic acid respectively by treating it with a strong acid (deamidate, transamidase).
How does changing the mass or speed of a moving object before it collides with
another object affect the forces on those objects during the collision?
PLEASE HURRY
Answer:
When two objects collide, the forces that are exerted on each other are determined by their masses and speeds. If the mass of one of the objects is increased, the force that it exerts on the other object during the collision will also increase. Similarly, if the speed of one of the objects is increased, the force that it exerts on the other object during the collision will also increase. In general, the greater the mass and speed of an object, the greater the force that it will exert on another object during a collision. However, it is important to note that the direction of the forces will remain the same, regardless of the masses or speeds of the objects involved.
A student jumps off a sled toward the NORTH after it stops at the bottom of an icy hill. Based on Newton's third law of motion, in which direction will the sled most likely move as the student jumps off?
A. North
B. West
C. East
D. South
When the student the sled jumps off toward the north , the sled most likely move towards the south.
What is the Newton third law?According to the Newton third law of motion, action and reaction are equal and opposite. This means that the direction of the reaction force must also be opposite to that of the action.
As such, when the student the sled jumps off toward the north , the sled most likely move towards the south.
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Places on earth where most of the earthquakes originated or some mountains and
volcanoes were formed mark the boundaries of each ____________plate.
Answer:
techtonic
Explanation:
If the earth had three times the radius but the same mass, how would this change the weight of the object?
Answer:
It will be 1/9 of its previous value
Explanation:
Weight = mass x gravity
Gravity = GM / r² (G is the constant)
Since the new radius is three times r, we plug in 3r:
New gravity = \(\frac{GM}{(3r)^{2} }\)
Since the new gravity is 1/9th of the original gravity, the new weight is 1/9th the original weight.
Acceleration of a body is 10m/s² , what does it mean?
If there is a closed path for the flow of current, then:A.an electrical circuit exists.B.charge can accumulate in the path.C.at least one switch in the circuit is open.D.there will be no resistance at all to the current.
Given:
There is a closed path for the flow of current.
Answer and explanation:
A correct option is an option (A). Since the path is closed, the current will flow through the circuit.
An option (B) is incorrect because the charge does not accumulate in a closed path.
Option (C) is also incorrect because the path is closed, and the circuit cannot be open.
Option (D) is also an incorrect option because there is always a resistance provided by the metal wire.
Ram and Hari both are good Swimmer and can Swim with same speed in still water, they set off across the river at the same time. Ram moves straight across and Hari is pulled downstream by the current somewhat. Hari head upstream at angle so as to arrive at a point directly opposite to straight point. Who will cross the river first?
Comment.
As per the given scenario, Ram will cross the river first.
Ram chooses the quickest route and crosses the river without turning. Ram and Hari can both swim in still water at the same speed, hence their respective speeds when crossing the river will be equivalent. Ram will be able to get to the opposing bank the fastest as a result.
Hari, on the other hand, is swimming upstream at an angle and is being dragged downstream by the water.
Hari's overall travel distance will increase due to the downstream current, however his effective speed will drop in comparison to the other bank. Hari will therefore take longer than Ram to get to the opposing bank.
Thus, Ram will cross the river first in this scenario.
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Asky wave is incident on the ionosphere at an angle of 60°. The electron density of this ionosphere layer is N = 24.536 × 10¹¹ electrons/m³
a. For the point of reflection, determine the refractive index of the ionospheric layer. (3 Marks)
b. Identify the critical frequency for the communication link. (2 Marks)
c. Determine the maximum usable frequency (2 Marks)
d. Give reasons why the transmissions would fail the following frequencies if the frequencies were 10 MHz and 30 MHz respectively. (4 Marks)
e. The lonosphere bends high frequency radio waves towards Earth. Discuss this bending phenomenon.
We can calculate the refractive index by substituting the values into the formula: n = √(1 - (2.774 × 10^6 / f)^2). The refractive index of the ionospheric layer can be determined using the formula n = √(1 - (f_ce / f)^2)
(a) The refractive index of the ionospheric layer can be determined using the formula n = √(1 - (f_ce / f)^2), where n represents the refractive index, f_ce is the electron gyrofrequency, and f is the frequency of the incident wave.
The electron gyrofrequency (f_ce) can be calculated using the formula f_ce = 8.978 × √(N), where N is the electron density. Substituting the given electron density value, we have f_ce = 8.978 × √(24.536 × 10^11) ≈ 2.774 × 10^6 Hz.
Now, we can calculate the refractive index by substituting the values into the formula: n = √(1 - (2.774 × 10^6 / f)^2).
(b) The critical frequency for the communication link can be determined using the formula f_c = f_ce / sin(θ), where f_c represents the critical frequency and θ is the angle of incidence. Substituting the given angle of 60°, we have f_c = 2.774 × 10^6 Hz / sin(60°).
(c) The maximum usable frequency (MUF) can be calculated using the formula MUF = f_c / sin(θ). Substituting the critical frequency and angle of incidence given in parts (b) and (a), respectively, we can find the MUF.
(d) Transmissions would fail at the frequencies of 10 MHz and 30 MHz because they are below the critical frequency. The critical frequency represents the maximum frequency that can be reflected back to Earth by the ionospheric layer. If the frequency of the transmission is below the critical frequency, the wave would penetrate through the ionosphere and not be reflected back, leading to a failed transmission.
(e) The ionosphere bends high-frequency radio waves towards Earth due to the phenomenon of refraction. When a radio wave encounters the ionosphere, which is composed of charged particles, it experiences a change in speed and direction. This change in speed and direction is due to the varying density and composition of the ionosphere at different altitudes.
As the radio wave passes through the ionosphere, its path is curved downward towards the Earth's surface. This bending phenomenon occurs because the refractive index of the ionosphere is greater than that of the surrounding vacuum or atmosphere. The higher the frequency of the radio wave, the greater the bending effect due to the higher electron density in the ionosphere at higher altitudes.
This bending of high-frequency radio waves allows for long-distance communication by enabling the waves to travel beyond the line-of-sight. It plays a crucial role in long-distance radio communication, especially in areas where direct line-of-sight transmission is obstructed by the Earth's curvature or other obstacles.
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Find the fuel efficiency in units of miles per gallon (mpg) if the vehicle’s fuel sensor measures a mean fuel consumption rate of 4 gallons per hour, and the speedometer measures a mean speed of 83 mph. Round to 1 d.p.
The fuel efficiency, rounded to 1 decimal place, is approximately 20.8 miles per gallon (mpg).
To find the fuel efficiency in miles per gallon (mpg), we need to calculate the distance traveled per gallon of fuel.
In this case:
Mean fuel consumption rate = 4 gallons per hour
Mean speed = 83 mph
To find the distance traveled per gallon, we can divide the mean speed by the fuel consumption rate:
Distance per gallon = Mean speed / Fuel consumption rate
Distance per gallon = 83 miles / 4 gallons
Distance per gallon ≈ 20.8 miles per gallon
Therefore, the fuel efficiency = 20.8 miles per gallon (mpg).
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please help!!!!!!!!!!
Answer:
C. Acceleration due to gravity
Explanation:
which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2.
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = 0 + 1x + 2x2 +
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow (y) Vehicle Speed (x)
1,257 35
1,330 45
1,226 35
1,336 50
1,350 55
1,124 25
Enter negative values as negative, if necessary.
Show the estimated regression equation (to 3 decimals, if necessary).
= + x + x2
What is the value of the coefficient of determination (to 3 decimals)? Note: report R2 between 0 and 1.
What is the value of the F test statistic (to 2 decimals)?
What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6
Using = .01, what is your conclusion?
SelectConclude a curvilinear relationship exists for traffic flow and speedCannot conclude a curvilinear relationship exists for traffic flow and speedItem 7
Predict the traffic flow in vehicles per hour for a speed of 39 miles per hour (to the nearest whole number).
A highway department is studying the relationship between traffic flow and speed. Traffic flow is the movement of individual drivers and vehicles between two points, as well as their interactions with one another.the value of the coefficient of determination is R− sq = 0.984
Speed is one of the basic parameters of traffic flow, and the two representations of speed are time mean speed and space mean speed. Enter data in excel. Make new column for values x2.,Now click on Data->Data Analysis and select regresion. In y data range, give range of y values. In x data range, give range of x and x2 values. Click ok.
From the above output:
The estimated regression equation is: y = 612.223+26.215x0.233.x
The coefficient of determination is: R− sq = 0.984
The F test statistic is: F= 90.14
The exact p-value is 0.0021. Therefore, correct option is: less than 0.01.
Can conclude a curvilinear relationship exists for traffic flow and speed because p-value is very small.
When x = 39
y =612.223 + 26.215(39)-0.233(39)2: 1280.58= 1281
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What are three potential sources of error during the Dynamic and
Static Power Ballistic Ball test? How would you correct them?
During the Dynamic and Static Power Ballistic Ball test, there are several potential sources of error that can affect the accuracy and reliability of the results. Conducting careful calibration, using appropriate techniques, and implementing controls to minimize these sources of error will contribute to obtaining more accurate and reliable results in the Dynamic and Static Power Ballistic Ball test.
Three common sources of error and their possible corrections are:
Measurement Error: Errors in measuring the parameters such as velocity, mass, or distance can introduce inaccuracies in the calculations. This can be due to limitations in measurement devices or human error during the data collection process. To minimize measurement errors, it is important to use calibrated instruments, take multiple measurements for better precision, and ensure proper training and technique in data collection.
Air Resistance: The presence of air resistance can significantly affect the motion of the ballistic ball and lead to deviations from the expected results. Air resistance depends on factors such as the shape and surface area of the ball, as well as the velocity. To minimize this error, one can conduct the experiment in a vacuum chamber or use a more streamlined and aerodynamic ball design. Alternatively, the effects of air resistance can be estimated and corrected using mathematical models or by measuring it separately and factoring it into the calculations.
Friction: Friction between the ball and the surface on which it rolls can cause energy loss and affect the ball's motion. This can result in lower velocities or altered trajectories. To minimize friction-related errors, one can use a smoother surface for the ball to roll on, ensure proper lubrication or reduce contact area between the ball and the surface. Additionally, taking multiple measurements and averaging the results can help reduce the impact of frictional variations.
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When you tap your finger on a table it creates a
transfer!
This happens because sound travels!
in the medium.
If you place your ear next to the table, it sounds different than when you are listening with your ear away from the ta
:: faster
This causes molecules in the table and air around it to
:: collide
in a solid than a
:: kinetic energy
such as air because of the arrangement of the
:: molecules
POSSIBLE POI
:: gas
:: vibration
1 2
and
3
4
The answers are:
When you tap your finger on a table, it creates a vibration.This happens because sound travels through the medium.If you place your ear next to the table, it sounds different than when you are listening with your ear away from the table.This causes molecules in the table and air around it to collide.What is kinetic energy?Kinetic energy is a form of energy associated with the motion of an object. It is the energy an object possesses due to its velocity or speed. The kinetic energy of an object depends on both its mass and its velocity. The equation to calculate kinetic energy is:
Kinetic Energy = (1/2) * mass * velocity^2
In simpler terms, kinetic energy represents the energy that an object possesses by virtue of its motion.
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Say you’re on a walk over the Narrow’s Bridge and you drop a rock to the water below.
You count how many seconds it takes for the rock to hit the water.
It takes 3.5 seconds.
How fast in m/s was the rock traveling when it hit the water?
(answer in m/s to the nearest whole number. Do not include units)
You count how many seconds it takes for the rock to hit the water.
It takes 3.5 seconds, then it would have been moving with a velocity of 34.335 m/s was the rock traveling when it hit the water.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
As given in the problem if you count how many seconds it takes for the rock to hit the water. It takes 3.5 seconds,
By using the first equation of the motion,
v = u + at
v = 0 + 9.81 × 3.5
v = 34.335 m / s
Thus, the velocity of the rock when it hit the water was 34.335 m/s.
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What should be the nature of fuse wire?
Answer: a fuse wire is a wire of high resistance and low melting point.
A yoyo can be approximated as a solid cylinder of mass m, radius R and thickness d. Two identical such yoyos have their strings tied together and are wound so that the two yoyos are touching each other. These stuck together yoyos are ejected into deep space far from any other objects. Shortly after being ejected, the center of mass of the yoyos have an initial velocity ū as indicated in the diagram. At this instant, the stuck together yoyos are rotating about the center of mass counterclockwise with an angular speed Wil. As the yoyos fly through space the strings unwind so that at some later time all of the string has unwound from each yoyo. At this time, the velocity of the center of mass is ū and the distance between the center of the yoyos is d. Determine the unknown angular velocity (magnitude and direction) of the center of mass for the tied together yoyos. You can neglect the mass of the string and you can assume that the yoyos are tied to the string so that the string is not slipping on the axle of the yoyo
Answer:
I don't understand what your asking
Explanation:
I really don't know
suppose you were to find all of the angles 8 at which two very narrow slits separated by a/2 would produce minimum. how would this set of angles be different from the set of angles given by your equation in part iii above?
This set of angles would be the angles at which destructive interference occurs, which is 180° apart from the angles at which constructive interference occurs.
What is Intensity?
The power transmitted per unit area is known as the intensity as well as flux of radiant energy.
Uses of Intensity
Intensity is most frequently used to describe the average power transfer above one period of the wave. Other situations where energy is transmitted can also be described in terms of intensity.
Hence, The set of angles given by the equation in Part III is the set of angles at which the maximum intensity of light is produced.
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This set of angles would be the angles at which destructive interference occurs, which is 180° apart from the angles at which constructive interference occurs.
What is Intensity?
The power transmitted per unit area is known as the intensity as well as flux of radiant energy.
Uses of Intensity
Intensity is most frequently used to describe the average power transfer above one period of the wave. Other situations where energy is transmitted can also be described in terms of intensity.
Hence, The set of angles given by the equation in Part III is the set of angles at which the maximum intensity of light is produced.
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can anyone ans this ..
with explanation
Answer: 5 mL/min
Explanation:
Amount of water = 200 mL
Percolation time = 40min
Rate of percolation = Amount of water in mL / Percolation time in min
=200 / 40
=5 mL/min.
Hence, the rate of percolation of water through the given soil sample is 5 mL/min.