Two forces, both in the x-y plane, act on a 3.25-kg mass that accelerates at 5.48 m/s2 in a direction 38.0∘ counterclockwise from the x-axis. one force has a magnitude of 8.63 n and points in the +x-direction.

part a
find the other force as x- and y-components.

fx,fy = ? n
please help!

a) The rock is in the air for approximately 8.66 seconds.

b) The rock travels horizontally for approximately 519.6 meters before hitting the ground.

c) The final x-velocity of the rock just before it hits the ground is approximately 60 m/s.

d) The final y-velocity of the rock just before it hits the ground is approximately -84.52 m/s.

To calculate the time the rock is in the air, we can use the equation of motion for vertical motion: h = (1/2)gt², where h is the height of the cliff (300 m) and g is the acceleration due to gravity (approximately 9.8 m/s^2). Solving for t gives us t = √(2h/g) ≈ 8.66 seconds.

To determine the horizontal distance traveled by the rock, we can use the formula d = vt, where v is the horizontal velocity (60 m/s) and t is the time the rock is in the air (8.66 seconds). Thus, d = (60 m/s) * (8.66 s) ≈ 519.6 meters.

Since there is no horizontal acceleration, the final x-velocity of the rock remains constant at 60 m/s.

The final y-velocity can be determined using the equation v = gt, where g is the acceleration due to gravity and t is the time the rock is in the air. Thus, v = (9.8 m/s²) * (8.66 s) ≈ 84.52 m/s. Since the rock is falling downward, the y-velocity is negative.

Using MATLAB, you can plot the y position and velocity as a function of time using the equations of motion. The x position and velocity will remain constant at 0 m and 60 m/s, respectively, throughout the motion.

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The total force on Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in line cannot be determined without knowing the specific value for Me (mass of Earth).

To calculate the total force on Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in line, we need to consider the gravitational forces exerted by each planet individually and then sum them up.

The force between two objects is given by the equation:

F = G * (m1 * m2) / r²,

where F is the gravitational force, G is the gravitational constant (approximately 6.67430 ×  m³  ), m₁ and m₂ are the masses of the objects, and r is the distance between their centers.

Let's denote the mass of Earth as Me, the mass of Venus as Mv, the mass of Jupiter as Mj, the mass of Saturn as Ms, and their respective mean distances from the Sun as dV, dJ, and dS.

The total force on Earth can be calculated as follows:

Ftotal = Fve + Fje + Fse,

where; Fve = G * (Mv * Me) / dV² is the force between Venus and Earth,

Fje = G * (Mj * Me) / dJ² is the force between Jupiter and Earth,

Fse = G * (Ms * Me) / dS² is the force between Saturn and Earth.

Now, let's substitute the given values into the equations:

Mv = 0.815 * Me,

Mj = 318 * Me,

Ms = 95.1 * Me,

dV = 108 million km,

dJ = 150 million km,

dS = 1430 million km.

Converting the distances to meters:

dV = 108 *  = 1.08 * m,

dJ = 150 *  = 1.5 *   m,

dS = 1430 *  = 1.43 * m.

Now we can calculate each individual force:

Fve = (6.67430 × ) * (0.815 * Me) * Me / (1.08 * )²,

Fje = (6.67430 × ) * (318 * Me) * Me / (1.5 * )²,

Fse = (6.67430 × ) * (95.1 * Me) * Me / (1.43 * )².

Finally, we can calculate the total force on Earth.

Ftotal = Fve + Fje + Fse.

To find the fraction of the Sun's force on Earth, we can divide the total force by the force between the Sun and Earth:

Fraction = Ftotal / Fse.

By evaluating these expressions, we can obtain the numerical result. However, without knowing the specific value for Me (mass of Earth), we cannot get an exact numerical answer.

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The complete question is:

The evolution of energy matrices, the social and environmental consequences of energy sources, and the relationship between energy development and industrial development are critical aspects of understanding the interplay between energy and the modern world. Balancing the need for energy with sustainability and minimizing environmental impacts is a key challenge for societies today.

a) The evolution of the main energy matrices after the industrial revolution:

The industrial revolution marked a significant shift in the sources of energy used to power the growing industries and societies. Prior to the industrial revolution, human and animal labor, along with limited use of water and wind power, were the primary sources of energy. However, with the advent of steam engines and mechanization, there was a need for more abundant and efficient sources of energy.

Coal: Coal became the dominant energy source during the early stages of the industrial revolution. It provided the necessary fuel for steam engines and played a crucial role in powering factories, railways, and steamships.

Oil: The discovery and commercialization of oil in the late 19th century revolutionized the energy landscape. Oil became a major source of energy for transportation, as it fueled the internal combustion engines of automobiles, trucks, and airplanes.

Natural Gas: With the expansion of oil drilling, natural gas also emerged as an important energy source. It is used for heating, electricity generation, and as a feedstock for various industrial processes.

Nuclear Energy: The development of nuclear power in the mid-20th century introduced a new source of energy. Nuclear reactors harness the energy released from nuclear fission reactions to generate electricity.

Renewable Energy: In recent decades, there has been a growing emphasis on renewable energy sources such as solar, wind, hydroelectric, and geothermal power. These sources offer sustainable alternatives to fossil fuels, with lower environmental impact and the potential for long-term energy security.

b) The social and environmental consequences of these energy sources:

Each energy source has its own social and environmental consequences:

Fossil Fuels: The burning of fossil fuels, such as coal, oil, and natural gas, releases greenhouse gases and contributes to climate change. Extraction of fossil fuels can lead to habitat destruction, water pollution, and health hazards for workers and nearby communities.

Nuclear Energy: While nuclear energy does not produce greenhouse gas emissions during operation, it presents risks associated with accidents, radioactive waste disposal, and potential weaponization of nuclear materials. Public safety concerns and environmental risks have led to debates over the use of nuclear power.

Renewable Energy: Renewable energy sources offer benefits in terms of reduced greenhouse gas emissions and environmental sustainability. However, their deployment may require land use changes, and some technologies (e.g., large-scale hydroelectric dams) can cause ecological disruptions and displacement of communities.

c) The relationship between energy development and degree of industrial development:

Energy development and industrial development are closely intertwined. The availability of affordable and reliable energy sources is crucial for driving industrialization and economic growth. Access to abundant energy resources enables countries to power their industries, expand transportation networks, and improve living standards.

Countries that have invested in the development and exploitation of energy sources have typically experienced accelerated industrialization and technological advancement. The ability to secure and utilize energy resources efficiently has been a determining factor in a country's competitiveness and economic prosperity.

Conversely, countries that lack access to energy sources or fail to invest in their energy sectors may face challenges in industrial development. Limited energy availability can constrain production capacities, limit access to modern technologies, and hinder economic progress.

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The current passing through the lightbulb is approximately 0.213 A (Amperes) when a 1.5 V battery delivers a charge of 9.6 C in 45 s.

The current passing through a conductor is determined by the amount of charge that flows through it over a given time. In this case, the battery delivers a charge of 9.6 C to the lightbulb in a time of 45 s. To calculate the current, we divide the charge by the time:

I = Q / t

Substituting the values, we have:

I = 9.6 C / 45 s

Performing the calculation, we find that the current passing through the lightbulb is approximately 0.213 A (Amperes). This means that 0.213 Coulombs of charge flow through the lightbulb every second. The current is a measure of the rate of flow of electric charge and is determined by the voltage (1.5 V) and the resistance of the lightbulb. In this case, the current is determined solely by the battery's voltage and the amount of charge delivered, as no information about the resistance of the lightbulb is given.

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Answer:

Both the third and fifth answers are correct

Answer:

Most certainly yes

Explanation: First you have to define what friction is "A force that resist motion" while Mechanical advantage " is simply a measure of the output force to the input force". Hence in a mechanical system if you increase friction in the system, it reduces the mechanical advantage and vice versa.

Answer:

what is the question?

(a) The pH of 7.7 ×10−4M Ba(OH)2 is 11.19.

(b) The pH of 3.7 ×10−4 M HNO3 is 3.43.

(a) To calculate the pH of a basic solution like Ba(OH)2, we first need to find the concentration of hydroxide ions (OH-) in the solution. Since Ba(OH)2 dissociates into one Ba2+ ion and two OH- ions, the concentration of OH- is twice the concentration of Ba(OH)2.

[OH-] = 2 × 7.7 ×10−4 M = 1.54 × 10−3 M

Now, we can use the equation for the dissociation of water to find the concentration of hydrogen ions (H+) in the solution:

Kw = [H+][OH-] = 1.0 × 10^-14

[H+] = Kw / [OH-] = 1.0 × 10^-14 / 1.54 × 10^-3 = 6.49 × 10^-12 M

Finally, we can use the pH formula to find the pH of the solution:

pH = -log[H+] = -log(6.49 × 10^-12) = 11.19

Therefore, the pH of a 7.7 ×10−4M Ba(OH)2 solution is 11.19.

(b) To calculate the pH of an acidic solution like HNO3, we can use the concentration of the acid directly.

[H+] = 3.7 ×10−4 M

Again, we can use the pH formula to find the pH of the solution:

pH = -log[H+] = -log(3.7 × 10^-4) = 3.43

Therefore, the pH of a 3.7 ×10−4 M HNO3 solution is 3.43.

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Answer: Most consistent of all elements (if consistency here denotes stability)

if not, then the answer will be (D)

Explanation:

Nobel gasses have full outermost electron shells which means that they are very stable and do not need to lose, gain, or share electrons to gain stability. So they do not react with other elements to form ionic or covalent bonds

No. A dog chasing its tail is just an animal running around in circles.

The dog's MOTION, however, IS accelerated motion, since the DIRECTION of its motion is constantly changing.

A a dog chasing its tail cannot be considered as acceleration.

Acceleration is the rate at which velocity changes over time, both in terms of speed and direction.

A point or object moving in a straight line is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is constantly changing.

For example, if a car accelerates as it turns a corner at constant speed, it is doing so because its direction is changing.

The faster you turn, the faster you accelerate. When velocity changes in magnitude (increase or decrease in speed), direction, or both, there is an acceleration.

Thus, as there is no change in either speed or direction in scenario in which a dog chases its tail, it is not considered as acceleration.

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Answer:

Explanation:

the directions may change

Or they will repel and become opposite sides

T-Bars outside of major construction projects is as supports for a dropped ceiling.

A flat metal plate at the bottom of a ribbed "T"-shaped bar that is driven into the ground. usually used to identify the locations of a water meter pit and chain link fence posts.

Metal bar stock is the same way. Round bar (also known as rod), rectangular bar (including square bar, the exceptional case with equal sides), and hexagonal bar are the three most used shapes (usually called hex bar for short).

Although it might seem out of place at the bar, this metal rail has a useful purpose. A few Reddit users described the purpose of the service bar rail, which separates clients from the area where drinks and employees enter and exit the establishment.

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The structural formula for 2,2,3-trimethylpentan-3-ol​ is:

CH3

|

CH3-C-CH(CH3)2-CH2OH

|

CH3

2,2,3-trimethylpentan-3-ol is a type of alcohol commonly used as a solvent or a fuel additive. It is also used in the production of other chemicals such as esters, ethers, and halides. It can be found in some household cleaning products, such as degreasers and stain removers.

Additionally, it is sometimes used in the perfume industry as a fragrance ingredient. It is an organic compound with the chemical formula C8H18O.  This compound is also known as tert-amyl alcohol or 2-methyl-2-pentanol.

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a) When a voltmeter is connected to an inductor with a constant current, the voltmeter reads zero volts. b) When the current is increasing, the voltmeter reads a positive voltage, and the polarity of the induced voltage is such that it opposes the increase in current.

When a voltmeter is connected to an inductor with a constant current flowing through it, the inductor acts as a short circuit, and the voltmeter reads zero volts. This is because the inductor resists changes in current, and with a constant current, there is no change in the current, so there is no voltage drop across the inductor.

However, when the current is increasing, the inductor will produce an induced voltage that opposes the change in current. According to Faraday's law of induction, the induced voltage is proportional to the rate of change of current. Therefore, the induced voltage will be positive and the voltmeter will read a positive voltage.

The polarity of the induced voltage can be determined by Lenz's law, which states that the induced current flows in a direction that opposes the change in the magnetic field that caused it. In this case, as the current is increasing, the magnetic field produced by the current is also increasing.

Therefore, the induced current will produce a magnetic field in the opposite direction, which opposes the increasing magnetic field. This means that the induced current flows in the opposite direction to the current flowing in the circuit, and the polarity of the induced voltage is such that it opposes the increase in current.

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Tangential speed of the tip of the bat is 2.2 m/s

Given:

angular speed = 2 rad/s

radius of ball = 1. 1-m

To Find:

tangential speed

Solution: Tangential velocity is the linear speed of any object moving along a circular path. A point on the outside edge of a turntable moves a greater distance in one complete rotation than a point near to the center.

The rate of variation in the matter's tangential velocity along a circular path is known as tangential acceleration.

A tangent line traced to the circle at the location of the object points in the direction of the velocity vector at any given time.

Here, v is Tangential speed t is the time ω is angular speed and r is radius

Vt = ω r

V = 2 x 1.1

V = 2.2 m/s

Hence the Tangential speed is 2.2m/s

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Answer:

heat, light, pollution, hypoxia

Explanation:

Answer:

I'm in 8th grade but oh whatever

Explanation:

Some Enviromental risk factors that should be avoided when exercising would be Dehydration. Dehydration would be considered a risk because if you're exercising nonstop outside in the heat and not drinking plenty of water, there could be serious health issues such as your blood volume going down. Another risk factor would be a heat stroke. A heat stroke is when your body temperature is over the original temperature. So, if you exercise long enough outside, then your body temperature will increase causing a heat stroke. Therefore, you should manage how long you exercise outside.

Answer:

$4.80

Explanation:

Total energy used is found with this formula:
\(E = Pt\)

where:
\(E\) is energy (in kilowatt-hours)
\(P\\\) is power ( in Kilowatts)
\(t\) is time ( in Hours)

We can find the total power consumption by adding all the appliances, then dividing by 1000 to convert it from Watts to Kilowatts:

\(\frac{(40*2)+120}{1000} =0.2kW\)

And then find \(E\) with 5 hours a day for 30 days:

\(E= 0.2*(5*30)=30kWh\)

Thus, cost needed would be:

$0.16 × 30 = $4.80

a. The Arrhenius equation

What is  Arrhenius equation?

The Arrhenius equation is a mathematical expression that describes the relationship between the rate constant of a chemical reaction and temperature. The equation states that the rate constant of a reaction is proportional to the frequency factor (A), which is related to the activation energy (Ea) and the absolute temperature (T) according to the following formula:

k = Ae^(-Ea/RT)

where:

k is the rate constant,

A is the frequency factor,

Ea is the activation energy,

R is the gas constant, and

T is the absolute temperature.

The Arrhenius equation is a useful tool for predicting the effect of temperature on the rate of a chemical reaction. By measuring the rate constant at different temperatures, it is possible to determine the activation energy of the reaction, which provides important information about the mechanism of the reaction. The Arrhenius equation is widely used in the fields of chemistry, biology, and material science to study the kinetics of reactions and to design and optimize processes that involve chemical reactions.

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The correct answer is a. The Arrhenius equation. The dependence of the rate constant on temperature is expressed by the arrhenius equation.

The Arrhenius equation is a mathematical expression that describes the relationship between the rate constant of a chemical reaction and temperature. The equation states that the rate constant of a reaction is proportional to the frequency factor (A), which is related to the activation energy (Ea) and the absolute temperature (T) according to the following formula:

\(k = Ae^(-Ea/RT)\)

where:

k is the rate constant,

A is the frequency factor,

Ea is the activation energy,

R is the gas constant, and

T is the absolute temperature.

The Arrhenius equation is a useful tool for predicting the effect of temperature on the rate of a chemical reaction. By measuring the rate constant at different temperatures, it is possible to determine the activation energy of the reaction, which provides important information about the mechanism of the reaction. The Arrhenius equation is widely used in the fields of chemistry, biology, and material science to study the kinetics of reactions and to design and optimize processes that involve chemical reactions.

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Answer: 5m

(10m) sin 30

=5m

The vertical displacement of the circus performer in m is 5m.

The displacement is the shortest distance travelled by the particle. It is the vector quantity which represents both the magnitude and direction.

A circus performer walked up and to the right for a total displacement of 10 m along a diagonal tightrope angled 30° above the ground.

We know the hypotenuse is 10m (diagonal) and the angle above the ground is 30°

The displacement will be sin (30) of hypotenuse.

Displacement = 10 sin (30)

                      d = 5m

Thus, the vertical displacement of the circus performer is 5 m.

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The force of gravity between two magnets is really considerably smaller than the magnetic force, despite the fact that two magnets correctly aligned would attract and stay together firmly.

Any two mass-containing things in the cosmos are subject to the basic natural force of gravity. According to the formula F = G * m1 * m2 / r2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them, the gravitational force between two objects varies in strength depending on their masses and the distance between them. The magnetic fields of two magnets are what create the force between them. Two magnets are aligned properly and it causes them to stick together tightly.

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It is more likely that the storm you observed, which passed over you after an hour, was a mesoscale convective system (MCS) rather than an air mass thunderstorm.

Air mass thunderstorms typically form and dissipate within the boundaries of a single air mass. They are generally short-lived and do not typically travel large distances. Therefore, it is less likely for an air mass thunderstorm to travel from a location far to the west to your current location within just an hour.

On the other hand, mesoscale convective systems are larger-scale weather systems that can cover hundreds of miles and persist for several hours or even longer. They often have organized structures, such as squall lines or clusters of thunderstorms, and can move over significant distances. It is more plausible for a mesoscale convective system to travel from a distant location to your area within the span of an hour.

Considering the time and distance covered, the fact that the storm passed over you after an hour suggests that it was likely a mesoscale convective system.

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If the hair feels rough when performing a porosity test, it means the cuticle is raised or damaged. The porosity test involves running your fingers along a strand of hair from the ends to the roots to determine how easily it absorbs water.

If the hair feels rough, it indicates that the cuticle layer is not smooth and intact, which can lead to moisture loss, breakage, and damage. This could be due to various factors, including chemical treatments, excessive heat styling, environmental stressors, or lack of proper hair care. It is important to address the underlying causes of rough cuticles to improve the overall health and appearance of the hair.

If the hair feels rough when performing a porosity test, it means the cuticle is raised. Raised cuticles indicate high porosity, which means that the hair can easily absorb and lose moisture. High porosity hair is often the result of chemical treatments, heat damage, or environmental factors. To manage high porosity hair, it is important to use deep conditioning treatments and protein treatments regularly. Additionally, using leave-in conditioners and sealing the hair with oils can help lock in moisture and protect the cuticles. It is also recommended to avoid harsh chemicals and excessive heat styling to prevent further damage.

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Answer:

\(n=4.5\times 10^{13}\)

Explanation:

Initial charge, \(q_1=10\mu C\)

After conduction, charge on the body becomes,  \(q_2=-2.8\mu C\)

We need to find the number of electrons gained by this charged body.

Net charge,

\(q=q_1+q_2\\\\=10+(-2.8)\\\\=7.2\ \mu C\)

Let n be the number of electrons gained by this charged body. So,

\(q=ne\\\\n=\dfrac{q}{e}\\\\n=\dfrac{7.2\times 10^{-6}}{1.6\times 10^{-19}}\\\\=4.5\times 10^{13}\)

So, \(4.5\times 10^{13}\) electrons gained by this charged body.

We can express this as an inequality: V + W > V - W.

The airspeed of the plane, assuming it is the same in both directions, can be determined by considering the effect of the headwind on the total ground speed of the plane.

Let's denote the airspeed of the plane as V and the wind velocity as W.

On the trip from A to B, the plane is flying into a headwind, so the effective ground speed is reduced. The actual ground speed can be calculated as the difference between the airspeed and the wind velocity: Ground speed (A to B) = V - W.

On the return trip from B to A, the wind velocity is unchanged, but now it acts as a tailwind. The effective ground speed is increased. The actual ground speed can be calculated as the sum of the airspeed and the wind velocity: Ground speed (B to A) = V + W.

Given that the trip from B to A takes less time than the trip from A to B, we can conclude that the ground speed on the return trip is higher than on the outbound trip.

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Answer:

136.63 ml

Explanation:

The vector BR in unit vector notation is:

BR = 8.485 î + 8.485 j

What is Vector?

Vectors can be added together to find the result, which is known as the vector sum. The vector sum can be found using the head-to-tail method, where the tail of one vector is placed at the head of the other vector. The vector sum is the vector that goes from the tail of the first vector to the head of the second vector.

To write the vector BR in unit vector notation, we need to find its components in the i and j directions.

Given that the magnitude of the vector is 12.0 and it makes an angle of 45 degrees with the positive x-axis, we can use trigonometry to find the components.

The x-component (i-direction) of the vector is given by:

Bx = B cos θ = 12.0 cos 45° = 8.485

The y-component (j-direction) of the vector is given by:

By = B sin θ = 12.0 sin 45° = 8.485

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If you increase the frequency of a sound wave four times, the speed will increase four times. The correct option is A.

Particles that are vibrating make up sound waves. These collide with other particles, causing them to vibrate, which allows the sound to escape the source.

Your ear drums vibrate as a result of air vibrations, which allows you to perceive sound. This vibration is transformed into messages, which proceed to your brain via a nerve.

When sound is produced, air molecules shake and collide, causing vibrations to travel between air molecules. The sound is transmitted by the vibrating particles, which also cause the ear drum to vibrate.

A sound wave's frequency can be increased four times without increasing its speed.

Thus, the correct option is A.

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Answer:

If you try to lift up a weight in a swimming pool and then try to lift the same weight on the edge of the pool, it feels much lighter in the water.

This was supposed to have been first explained by the Greek scientist Archimedes. He said that the water gives an upward force or upthrust on any object in it.

You can weigh an object in air and then in water and actually work out the upthrust, it is the difference between the two readings. For this reason the upthrust is often called the loss in weight of the object.

The thickness of the shifter is given as t = λ / 2n.

The given equation of the phase of light of wavelength λ traveling through a shifter with a refractive index n is given by: Øs = 2πntλ-1, where t is the thickness of the shifter.

The phase of the same light wave traveling through air for a distance equal to t is Øa= 2ntλ-1.

We are supposed to derive an expression for the thickness of the shifter as a function of λ and n to get a phase shift of 180°.

Given, The phase of light of wavelength λ traveling through a shifter with a refractive index n is given by: Øs = 2πntλ-1

The phase of the same light wave traveling through air for a distance equal to t is Øa = 2ntλ-1

To obtain a phase shift of 180°, we have: Øs - Øa = πi where i is an integer.

Substituting the value of Øs and Øa in the above expression, we have:

2πntλ-1 - 2ntλ-1 = πi2πntλ-1 - 2ntλ-1

                         = π(2nλt) / λ2πntλ-1

                         = 2nλt / λπt

                         = λ / 2n

Hence, the thickness of the shifter is given as t = λ / 2n.

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