A hydraulic system has two pistons. Input force on one piston is 15.8 lb and the other piston can lift a weight of 93 lb. What is the mechanical advantage?​

Answer:

the magnitude of the electrostatic force between these two charged particles is 4.32 x 10^-28 N.

Explanation:

F = k * (q1 * q2) / r^2

where:

F is the electrostatic force

k is the Coulomb's constant (9 x 10^9 Nm^2/C^2)

q1 and q2 are the charges of the particles

r is the distance between the particles

Plugging in the given values:

q1 = 8 x 10^-19 C

q2 = 4.8 x 10^-19 C

r = 1.2 x 10^-4 m

k = 9 x 10^9 Nm^2/C^2

we can calculate the electrostatic force:

F = (9 x 10^9 Nm^2/C^2) * (8 x 10^-19 C) * (4.8 x 10^-19 C) / (1.2 x 10^-4 m)^2

F = 4.32 x 10^-28 N

The electrostatic force between these two particles is therefore calculated to be **1.44x10⁻¹⁴ N**1 using Coulomb's equation of electrostatic force.

With a force proportional to the product of the charges and inversely proportional to the square of the distance between them, Coulomb's law states that like charges repel and opposite charges attract. There is a formula that may be used to calculate the force between two point charges. Charles-Augustin de Coulomb created Coulomb's law in 1785

The electrostatic force between two charges is inversely proportional to the square of the distance between them and directly proportional to the product of their magnitudes1.

The centers of the two tiny charged particles in this example are separated by a distance of **1.2x10⁻⁴ meter**, with charges of **8x10⁻¹⁹** and **4.8*10⁻¹⁹**, respectively.

F is the electrostatic force

k is the Coulomb's constant (9 x 10⁹ Nm²C²)

q1 and q2 are the charges of the particles

r is the distance between the particles

Plugging in the given values:

q1 = 8 x 10⁻¹⁹ C

q2 = 4.8 x 10⁻¹⁹C

r = 1.2 x 10⁻⁴ m

k = 9 x 10₉ Nm²/C²

we can calculate the electrostatic force:

F = (9 x 10⁹Nm²/C²) * (8 x 10⁻¹⁹ C) * (4.8 x 10⁻¹⁹ C) / (1.2 x 10⁻⁴ m)²

The electrostatic force between these two particles is therefore calculated to be **1.44x10⁻¹⁴N**1 using Coulomb's equation of electrostatic force.

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The speed of the wave is 99 meters per second.

What is Wave?

A wave is a disturbance or variation that travels through a medium or space, transferring energy without the net movement of matter. Waves can occur in various forms, such as mechanical waves that require a medium for propagation (e.g., sound waves, water waves) or electromagnetic waves that can travel through a vacuum (e.g., light waves, radio waves).

The speed of a wave can be calculated using the formula:

speed (v) = frequency (f) x wavelength (λ)

Given that the frequency (f) is 11 Hz and the wavelength (λ) is 9 meters, we can plug these values into the formula to calculate the speed of the wave:

v = 11 Hz x 9 meters

v = 99 meters per second

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a) The main advantages of an epicyclic gearbox are:

b) i) Using the formula for the gear ratio of an epicyclic gear train:

T4/T3 = (t2/t1) x (t5/t2) x (t4/t5)

T4/30 = (1/2) x (60/20) x (40/60)

T4 = 40 Nm

ii) From the law of gearing for an epicyclic gear train:

w21 = (t3/t2) x (t5/t4) x w31 - (t3/t2) x w2

Substituting the given values:

w21 = (30/20) x (60/40) x 200 - (30/20) x 100

w21 = 150 rad/s

iii) The fixing couple that must be applied to wheel 5 can be found from the power transmitted by the gear train:

P = w3 x T3 = w2 x T2 = w1 x T1

Substituting the given values:

9 kW = 200 rad/s x 30 Nm = w2 x T2 = w2 x 20 Nm

w2 = 450 rad/s

T2 = (9 kW) / (450 rad/s) = 20 Nm

The fixing couple that must be applied to wheel 5 is equal in magnitude and opposite in direction to T2, so it is -20 Nm.

iv) The tangential force at the pitch point between wheels 3 and 4 can be found from the formula:

Ft = (2 x Pd) / (m x z3)

where Pd is the diametral pitch, m is the module, and z3 is the number of teeth on wheel 3.

Substituting the given values:

Pd = 25.4 / 5 = 5.08 teeth/inch

z3 = t3 / m = 30 / 5 = 6 teeth

Ft = (2 x 5.08) / (5 x 6) = 0.846 N

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To calculate the final temperature of an air-metal mixture, we need to use the principle of heat transfer.

The heat transfer equation states that the heat gained by the metal is equal to the heat lost by the air. This equation can be written as:

mcΔT = mairCpΔT

To make a prediction of the final temperature, we need to consider factors such as the thermal conductivity of the metal and air, the specific heat capacities of the materials, and the heat transfer coefficients at the metal-air interface. Additionally, the shape and size of the metal object and the surrounding environment can affect the final temperature.

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Answer:

A

Explanation:

One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.

substitute       d = 30     into formula

                        v = 15      d = v x t

                        30 = 15t

                        30/15 or 30 over 15 fraction :)

                        simplify

                             =

                             2

                        answer = 2

I hope this helps, this is what I know, I'm sorry if it's wrong :(

Personally, the barriers I face that interfere with my performance are:

These can all be addressed by

People can face various barriers that can interfere with their personal performance. Some of the common barriers that people face include:

Lack of motivation or direction: People may struggle with finding motivation or a clear direction for their goals, which can hinder their personal performance.

Lack of resources: People may face financial or other resource constraints that limit their ability to pursue their goals or develop their skills.

Physical or mental health issues: Physical or mental health issues can impact a person's ability to perform at their best, affecting their energy levels, focus, and overall well-being.

Personal or environmental distractions: People may be distracted by personal or environmental factors such as noise, social media, or family obligations that can interfere with their ability to focus on their goals.

To address these barriers, there are various plans that people can take, such as:

Setting clear goals: By setting specific and measurable goals, people can have a clearer sense of direction and motivation for their personal performance.

Seeking support: People can seek support from friends, family, or professionals to help them overcome resource or health-related barriers.

Developing healthy habits: Practicing healthy habits such as exercise, mindfulness, and good sleep hygiene can improve physical and mental health and increase energy and focus.

Managing distractions: People can create an environment that is conducive to their personal performance by minimizing distractions, prioritizing their time, and creating routines that support their goals.

Overall, addressing these barriers requires a combination of self-reflection, planning, and taking action to overcome obstacles and achieve personal growth and success.

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Widening the prism adds additional glass, which slows light down even further and increases the amount of refraction.

The angles and plane sides of a prism cause light to be bent, or refracted, when it flows through them; the degree of refractive distortion varies somewhat depending on the wavelength of light.

When light travels from the air to the prism's glass, its speed changes, causing the light to bend and shift course. Once light enters the prism, it bends because the refraction indices of the air and glass differ. The light exits the prism bent even more since the sides are slanted.

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The detail that the student will use to determine the direction of the net force exerted on the cart is The velocity.

When examining the velocity-time graph of a cart during time intervals A to B, it is crucial that we analyze it to determine both the net force's direction and the change in momentum's direction.

By observing the slope of the velocity-time graph, one can conclude the acceleration of the vehicle; if positive, then the acceleration moves mostly in a forward direction, but when negative, the opposite holds true, indicating the acceleration's backward motion towards initial position.

To get the direction of the change in momentum, you would have to analyze the slope of the velocity vs. time graph at the various time intervals.

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a) Yes, the force of thrust of the engine does work as it is causing the plane to accelerate and lift off the ground.

b) Yes, the kinetic energy of the plane increases as it takes off and gains speed.

c) Yes, the gravitational potential energy of the plane increases as it gains height.

d) Yes, the force of thrust of the engine changes the mechanical energy of the plane.

The kinetic energy of an object is the form of energy that it possesses due to its motion which is also defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

The work done by the engine's thrust increases the plane's kinetic energy and gravitational potential energy, thereby changing its mechanical energy.

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Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.

A. Ozone intake can cause irritation in the respiratory system of the body. Ozone is a gas composed of three oxygen atoms that can be harmful when inhaled. It can irritate the lungs and cause inflammation, making it difficult to breathe. Prolonged exposure to ozone can lead to respiratory problems such as asthma, bronchitis, and emphysema. Ozone can also affect other systems of the body, such as the immune system, but respiratory irritation is the most common and well-documented effect.

One red blood cell contains an estimated 251 molecules of haemoglobin, according to our estimation.

The average red blood cell has a diameter of 6 to 8 micrometres, according to the American Society of Haematology, and a volume of 113-268 μm³ or 113-268x10⁻¹² L.

Let's first change the haemoglobin concentration from grammes per litre to grammes per litre so that it has the same units as the molecular weight:

200 μg/μL x 1 g/1000 μg x 10⁶ μL/L = 0.2 g/L

Next, let's translate hemoglobin's molecular weight from kDa to grammes per molecule:

64 kDa x 1000 Da/kDa x 1.66x10⁻²⁴ g/Da = 1.06x10⁻²⁰ g/molecule

Using Avogadro's number, we can now determine how many haemoglobin molecules are present in a single litre of blood ([tex]6.022*10^{23}[/tex] molecules/mol): 0.2 g/L x 1 mol/1.06x10⁻²⁰ g x [tex]6.022*10^{23}[/tex] molecules/mol = 1.13x10¹⁵ molecules/L.

Divide the total number of molecules in 1 litre of blood by the volume of red blood cells to get the amount of haemoglobin molecules per red blood cell. The typical red blood cell count range, according to the American Society of Haematology, is between 4.5-5.5 million cells/L, which translates to 4.5-5.5x10¹² cells/L.

When we divide the quantity of red blood cells in 1 L by the quantity of haemoglobin molecules, we get:

1.13x10¹⁵ molecules/L / 4.5x10¹² cells/L = 251 Red blood cell haemoglobin molecules, rounded to the closest integer.

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Answer:

The resistance is 6 ohms

Explanation:

V = 12V

I = 2A

Use ohm's law:

R = V / I

R = 12V / 2A

R = 6 ohms

The distance the ball was thrown is 52.22m by A quarterback throws a pass at an angle of 35° above the horizontal with an initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds later.

Every motion under constant acceleration is projectile motion

Angle above horizontal Ф = 35°, initial speed v1 = 25m/s , time 2.55s

Substituting value in the below equation

x=x₁ + (v₁*cosθ)(t)+1/2 *a*t²

a= 0 as acceleration in horizontal direction is zero

x= 25*cos(35)*2.55

x=52.22 m

Projectile motion is a form of motion in which object influenced when it is launched into the gravitational force from the surface of Earth along a curved path.

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The boy weighing 600 N can walk at most 4.1 m beyond point A without tipping the beam.

It is the weighted average position of all the system's or object's constituent pieces. It is the average position of all the parts of the system or object, weighted according to their mass. In other words, the center of mass is the point where an applied force will result in pure translation of the object, without any rotation.

To avoid tipping, the center of mass of the beam and the boy together must remain over the area between the two supports. Let's first find the center of mass of the beam.

The weight of the beam is 300 N and it is uniform, so its center of mass will be located at the midpoint, or 4.5 m from either support.

Next, we need to find the center of mass of the boy-beam system as the boy walks along the beam. Let's assume the boy moves a distance d to the right of point A before tipping occurs. The weight of the boy is 600 N and we can approximate his weight as acting at the center of his body, which we'll assume is 0.9 m from the left end of the beam. The combined center of mass of the boy-beam system will be at a distance (4.5 m + 0.9 m + d) from the left end of the beam.

For the system to remain stable, this combined center of mass must remain between the two supports, which are 5.00 m apart. Therefore, we can write:

4.5 m ≤ 4.5 m + 0.9 m + d ≤ 9.5 m

Solving for d, we get:

d ≤ 4.1 m

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The power will increase by about 9.27% (when rounded to two decimal places).

Therefore, the correct answer choice is (b) 9.

The power generated by a windmill is proportional to the cube of the wind speed and which means that if the wind speed increases by 3%, the power generated will increase by:

(1.03)^3 −1 = 0.0927

In physics, power is described as the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt.

So the power will increase by about 9.27%

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Answer:one centimeter is equal to one hundredth of a meter (1 cm = 0.01 m).

Explanation:

Claims that if temperature is kept constant, the end result of both volume and pressure is constant. The new level is 1036 Pa, which is how this can be expressed.

So either a strong force or a strong force applied over a short area can cause a lot of pressure. When we stand up compared to when we are walking, more of our feet are in proximity to the earth. Pressure would be lower if there was more surface area in contact.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are both living things and non-living objects in the concept of a force.

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The Pennsylvanian towns of Donora were struck by a smog at the end of October 1948 that forever altered the way environmental protection was practiced in the country.

During this, 20 people were confirmed dead, according to conservative estimates, while 5900 more people, or 43% of Donora's population, were adversely affected by the smog.

A firetruck and an ambulance from Donora's first responders started responding to calls. These rescue cars had to be led by a man walking in front carrying a torch due to the darkness. Later, when this technique was rendered impossible, firefighters started going door to door to give residents of Donora oxygen. Doctors advised anyone with long-term medical concerns to leave, but as the fog grew thicker, the routes became impassable.

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Answer:

N/A

Explanation:

The following formula can be used to compute the power output of a person lifting a lawnmower:

Work (W) / Time (t) = Power (P).

Where:

Work (W) is defined as the force used to lift the lawnmower multiplied by the distance traveled (i.e., work done against gravity).

Time (t) is the amount of time it takes to lift the lawnmower.

To determine the power output, however, we would need to know the force used to lift the lawnmower as well as the distance it was lifted. We won't be able to provide an accurate power output value without this information.

The electric potential energy lost in this reaction is approximately 2.81 eV.

What is potential energy?

To calculate the electric potential energy lost in this reaction, we first need to calculate the difference in electric potential energy between the initial and final states. We can use the following formula to calculate electric potential energy:

E = kq1q2/r

where E is the electric potential energy, k is Coulomb's constant (8.99 x [tex]10^{9}[/tex] N*m²/C²), q1 and q2 are the charges of the two particles, and r is the separation distance between them.

In this case, we have an electron and a proton, which have charges of -1.602 x [tex]10^{-19}[/tex]  C and +1.602 x [tex]10^{-19}[/tex]  C, respectively. The initial separation distance is 0.115 nm, which is 1.15 x [tex]10^{-10}[/tex]  m, and the final separation distance is 0.105 nm, which is 1.05 x [tex]10^{-10}[/tex]  m.

So, the initial electric potential energy is:

E_initial = kq_electronq_proton/r_initial

= (8.99 x [tex]10^{9}[/tex]  N*m²/C²) * (-1.602 x [tex]10^{-19}[/tex] C) * (1.602 x [tex]10^{-19}[/tex]  C) / (1.15 x [tex]10^{-10}[/tex] m)

= -1.44 x [tex]10^{-18}[/tex]  J

And the final electric potential energy is:

E_final = kq_electronq_proton/r_final

= (8.99 x [tex]10^{9}[/tex] N*m²/C²) * (-1.602 x [tex]10^{-19}[/tex]  C) * (1.602 x [tex]10^{-19}[/tex]  C) / (1.05 x [tex]10^{-10}[/tex]  m)

= -1.89 x [tex]10^{-18}[/tex] J

The electric potential energy lost in this reaction is:

ΔE = E_final - E_initial

= (-1.89 x [tex]10^{-18}[/tex] J) - (-1.44  x [tex]10^{-18}[/tex] J)

= -0.45 x [tex]10^{-18}[/tex]   J

To express the electric potential energy lost in units of eV, we can use the following conversion factor:

1 eV = 1.602 x [tex]10^{-19}[/tex] J

So, the electric potential energy lost in this reaction is:

ΔE = (-0.45 x [tex]10^{-18}[/tex] J) / (1.602 x [tex]10^{-19}[/tex] J/eV)

= -2.81 eV

Therefore, the electric potential energy lost in this reaction is approximately 2.81 eV.

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The traffic cop needs 23.3 seconds to pass the automobile.

When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.

[tex]d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m[/tex]

[tex]d = d1 = 35.0 m[/tex]

[tex]d2 = v2*t + (1/2)at^2[/tex]

[tex]d2 = (1/2)at^2[/tex]

[tex]v2*t + (1/2)at^2 = (1/2)at^2[/tex]

[tex]v2*t = (1/2)at^2[/tex]

Solving for t, we get:

[tex]t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s[/tex] (rounded to 2 decimal places)

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Answer:

We are asked to calculate for the resultant displacement.

We therefore conclude that the resultant displacement of the bird is 5 Km, 53o 5 K m , 53 o South of West.

Explanation:

have a nice day.

The objects' masses and the distance between them affects how much gravitational force the objects will exert on each other. Hence option A is correct.

Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,

F ∝ m₁.m₂

F ∝ 1/r²

F = G m₁,m₂÷r²

where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².

Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].

This is analogous with coulomb's law which gives force between two charges.

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"Greenland ice sheet melting at alarming rate of 8,300 tonnes per second" is a recent article addressing some aspect of environmental science that we have covered so far this year.

This article, published in The Guardian in January 2021, addresses the melting of the Greenland ice sheet, which is a topic covered in environmental science. The article highlights a new study that found the ice sheet is melting at a rate of 8,300 tonnes per second, which is seven times faster than in the 1990s.

The melting of the Greenland ice sheet contributes significantly to rising sea levels and could have disastrous consequences for coastal communities worldwide. The article discusses the causes and potential consequences of this rapid melting, as well as the urgent need for action to mitigate climate change and its effects. This topic relates to the study of climate change, the cryosphere, and the impacts of human activity on the environment.

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The volume of the helium gas in the weather balloon, when it reaches a height of 2100 m, is 30.85 m^3.

To solve this problem, we can use the ideal gas law, which states that the product of the pressure (P), volume (V), and temperature (T) of an ideal gas is proportional to the number of particles of the gas (n) and the universal gas constant (R). Since the temperature is assumed to be constant, we can write:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume of the helium gas, and P2 and V2 are the pressure and volume at a height of 2100 m.

At sea level, the pressure is approximately 1.01×10^5 Pa, so we have:

P1 = 1.01×10^5 Pa

V1 = 25.0 m^3

At a height of 2100 m, the pressure is 0.82×10^5 Pa, so we can solve for V2:

P1V1 = P2V2

V2 = (P1*V1)/P2

V2 = (1.01×10^5 Pa * 25.0 m^3) / (0.82×10^5 Pa)

V2 = 30.85 m^3

Therefore, the volume of the helium gas in the weather balloon when it reaches a height of 2100 m is approximately 30.85 m^3.

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The magnitude of the damping coefficient is = 0.277 Ns/m

We can use the formula for the damped harmonic motion of a spring-mass system:

At t=0, the displacement of the egg is x = 0.300 m, and at t=5.00 s, the displacement has decreased to x = 0.100 m.

The angular frequency of the motion is:

w = sqrt(k/m) = sqrt(25.0 N/m / 0.0500 kg) = 10.0 rad/s

The equation for the amplitude of the motion at time t is:

A = x / cos(wt + delta) * e^(bt/2m)

At t=0, we have:

A = 0.300 m / cos(0 + delta) * e^(b0/20.0500 kg) = 0.300 m / cos(delta)

At t=5.00 s, we have:

A = 0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)

Dividing these two equations, we get:

0.300 m / cos(delta) / (0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)) = e^(b5.00 s/20.0500 kg)

Simplifying, we get:

cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta) = 3.00

Taking the natural logarithm of both sides, we get:

ln(cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta)) = ln(3.00)

Using the properties of logarithms, we can simplify this to:

ln(cos(10.0 rad/s * 5.00 s + delta)) + b*5.00 s / 0.0500 kg / 2 - ln(cos(delta)) = ln(3.00)

We can rearrange this equation to solve for b:

b = (2/5.00 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s + delta)) + ln(cos(delta)))

The phase angle delta is unknown, but it cancels out when we take the difference between the two equations for A. Therefore, we can choose any value of delta and still get the correct value of b.

Let's choose delta = 0 for simplicity. Plugging in the values, we get:

b = (2/0.0500 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s)) + ln(cos(0)))

b = 0.277 Ns/m

Therefore, the magnitude of the damping coefficient is = 0.277 Ns/m

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A 50.0-g hard-boiled egg moves on the end of a spring with force constant k=25.0N/m. It is released with an amplitude 0.300 m. A damping force Fx=−bv acts on the egg. After it oscillates for 5.00 s, the amplitude of the motion has decreased to 0.100 m.Calculate the magnitude of the damping coefficient b.

The bicyclist needs to move backward by a distance of 0.2744 m to reach the nearest point of destructive interference.

The wavelength of the sound wave produced by the horns can be calculated as;

λ = v/f

λ = 343/625

λ = 0.5488 m

let the integer multiple of the wavelength = d

d = mλ

d = 4.50 + x

where;

4.50 + x = mλ

4.50 + x = m(0.5488)

let the odd multiple of half the wavelength = d'

d' = (2n + 1)(λ/2)

d' = 4.50 - y

where;

4.50 - y = (2n + 1)(λ/2)

4.50 - y = (2n + 1)(0.2744)

mλ = 2n(λ/2) + (λ/2) + 4.50 - y

x - y = (2n + 1)(λ/2) - 4.50

x - y = (2n + 1)(0.2744) - 4.50

Let n = 0

x - y = (0 + 1)(0.2744) - 4.50

y = 4.50 - 0.2744

y = 4.2256

The distance is cakculated as;

4.50 - y = 0.2744 m

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