Consider the two-slit experiment. Light strikes two slits that are a distance 0. 0236 mm apart. The path to the third-order bright fringe on the screen forms an angle of 2. 09° with the horizontal. What is the wavelength of the light?

Answers

Answer 1

The wavelength of the light used in the experiment is approximately 5.69 × \(10^{-7}\) meters.

In the two-slit experiment, the distance between the slits is known as the "d" value. The distance from the slits to the screen is known as the "L" value.

The third-order bright fringe is at the center of the third bright band on the screen. Using the formula, d sinθ = mλ, where d is the distance between the slits, θ is the angle between the center of the third-order bright fringe and the horizontal, m is the order of the bright fringe, and λ is the wavelength of light.

We know that d = 0.0236 mm, θ = 2.09°, and m = 3. Rearranging the formula to solve for λ, we get: λ = d sinθ / m

Substituting the values, we get: λ = (0.0236 mm) sin(2.09°) / 3

Converting the distance to meters and the angle to radians, we get: λ = (2.36 × 10^-5 m) sin(0.0364 rad) / 3

Solving this equation gives us: λ = 5.69 × \(10^{-7}\) m

Therefore, the wavelength of the light used in the experiment is approximately 5.69 × \(10^{-7}\) meters.

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Related Questions

A long solenoid with cross-sectional area 4. 00 cm 2 and 965 turns per meter is oriented with its axis along the z-axis. The field inside the solenoid points in the +z-direction. A wire loop of radius 5. 00 cm is around the solenoid, parallel with its coils, centered on the axis of the solenoid, and lying in the xy-plane. Find the rate of change of the current in the solenoid if the electric field in the loop at the point x=5. 00cm,y=0,z=0x=5. 00 cm,y=0,z=0 is e→=(−1. 80×10−5V/m)ȷ^E=(−1. 80×10 −5V/m) ^

Answers

The  rate of change of the current in the solenoid is:

(dI/dt) = emf / R = (-1.81 × 10^-5 V) / R

The emf induced in the wire loop is given by the equation:

emf = -N * (dΦ/dt)

where N is the number of turns in the loop, Φ is the magnetic flux through the loop, and t is the time.

The magnetic flux through the loop can be calculated using the equation:

Φ = B * A

where B is the magnetic field inside the solenoid, and A is the area of the loop.

Since the wire loop is parallel with the coils of the solenoid, the magnetic field inside the solenoid is uniform and given by the equation:

B = μ0 * n * I

where μ0 is the permeability of free space, n is the number of turns per unit length of the solenoid, and I is the current in the solenoid.

Substituting the values given in the problem, we have:

B = (4π × 10^-7 T·m/A) * (965 turns/m) * I = 3.68 × 10^-3 I T

A = π * (0.05 m)^2 = 7.85 × 10^-3 m^2

Φ = B * A = 2.89 × 10^-5 I Wb

Substituting the given values of emf and Φ, we have:

-1.80 × 10^-5 V/m = -965 * (dΦ/dt)

Solving for dΦ/dt, we get:

dΦ/dt = 1.87 × 10^-8 Wb/s

Finally, substituting the value of dΦ/dt in the equation for emf, we get:

emf = -N * (dΦ/dt) = -965 * (1.87 × 10^-8 Wb/s) = -1.81 × 10^-5 V

Therefore, the rate of change of the current in the solenoid is:

(dI/dt) = emf / R = (-1.81 × 10^-5 V) / R

where R is the resistance of the wire loop. The resistance is not given in the problem, so a numerical answer cannot be provided.

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sediment production occurs primarily in ________ part of a river system.

Answers

Sediment production occurs primarily in the upper part of a river system.

In this region, the river has a higher gradient and more energy, which leads to increased erosion and weathering of the surrounding landscape. As the river flows, it picks up sediments such as sand and clay from the eroded materials. These sediments can come from various sources, including rocks, soils, and organic matter.

The process of sediment production is influenced by factors such as precipitation, vegetation, and land use. For example, heavy rainfall can result in increased erosion, while vegetation can help stabilize soil and reduce sediment production. Additionally, human activities such as agriculture, construction, and deforestation can alter the landscape and contribute to increased sedimentation in river systems.

As the river moves downstream, its gradient decreases, and it loses energy, causing the sediments to be deposited. Understanding sediment production and transport in river systems is essential for managing water resources, predicting flood risks, and conserving aquatic habitats.

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10. Observa la siguiente gráfica que describe un recorrido en línea recta de un caballo: a) ¿Qué tipo de movimiento presenta el caballo? Justifica la respuesta. b) Indica la distancia que ha recorrido el caballo a los tres segundos de empezar el recorrido. c) Calcula su velocidad media.

Answers

Answer:

Movimiento de translación.

Explicación:

El caballo tiene un tipo de movimiento traslacional porque todas las partes de su cuerpo se mueven de un lugar a otro. La distancia se puede encontrar usando la fórmula de distancia que es distancia = velocidad x tiempo. La velocidad promedio del caballo se puede calcular dividiendo la distancia total recorrida por el tiempo total tomado. Si los datos están disponibles, puede calcular la distancia y la velocidad promedio del caballo.

Lincoln weighs 400 newtons. What’s his mass rounded to the nearest kilogram? Assume that acceleration due to gravity is 9.8 N/kg.

Answers

Answer:

m = 40.8 [kg]

Explanation:

We know that weight is defined as the product of mass by gravitational acceleration in this way we have the following equation.

\(W = m*g\)

where:

W = weight [N] (units of Newtons)

m = mass [kg]

g = gravity acceleration = 9.8 [N/kg]

Therefore:

\(m=W/g\\m=400/9.8\\m=40.8[kg]\)

Answer: 41!

Explanation:

Determine whether the series is convergent or divergent. 1 + 7n Σ 57 n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 7 4

Answers

The given series, 1 + 7n Σ 57 n = 1, is divergent because the terms in the series continue to increase without bounds, the sum of the series also increases indefinitely.

To determine the convergence or divergence of the series, we can analyze its behaviour as n approaches infinity. The series can be written as Σ(1 + 7n*57) for n = 1 to infinity. By simplifying the expression, we have Σ(399n + 1) for n = 1 to infinity.

As n increases, the summand of the series grows linearly with a coefficient of 399. Since the coefficient is nonzero and positive, the series will diverge. This means that the sum of the series will not approach a finite value as n tends to infinity.

Therefore, the given series is divergent, and we cannot find its sum. It is important to note that a divergent series does not have a finite sum. Therefore, the sum of the given series is "DIVERGES."

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Where must the moon be in its orbit for the full moon phase to be visible?.

Answers

Answer:

On the side of the Earth opposite from the sun

Explanation:

As our Moon continues its orbit counterclockwise around Earth (viewed from above the north pole), more and more of the illuminated part of the Moon becomes visible to us, until it reaches the “full Moon” stage. A full Moon occurs when the Moon has moved in its orbit so that Earth is “between” the Moon and the Sun.

Answer: the sun:


Explanation:

the moon reflects the light coming from the sun. hope this helps. Can I pls have brainllyistbrainllyistbrainllyistbrainllyist

Given a sphere with radius r.
(a) The volume of the sphere is V = (b) The surface area of the sphere is S =

Answers

The volume of a sphere with radius r is V = (4/3)πr³, and the surface area of the sphere is S = 4πr². T

Given a sphere with radius r, the  answer is: The volume of the sphere is V = (4/3)πr³.

The surface area of the sphere is S = 4πr².

The volume of a sphere is the amount of space inside a sphere. To determine the volume of a sphere, we use the formula:V = (4/3)πr³Where "r" is the radius of the sphere.

So, the volume of the sphere is V = (4/3)πr³.

The surface area of a sphere is the sum of all of its surface areas. To determine the surface area of a sphere, we use the formula:S = 4πr²Where "r" is the radius of the sphere.

So, the surface area of the sphere is S = 4πr².\

In conclusion, the volume of a sphere with radius r is V = (4/3)πr³, and the surface area of the sphere is S = 4πr². The given sphere is a 3-dimensional object that has a circular boundary. To find the volume and surface area, we have used the above formulas, which involves only the radius "r" of the sphere.

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A satellite is in a circular orbit around Earth. Which of the following
scenarios will increase the period of the satellite?


a. decreasing the radius of the orbit
b. increasing the mass of the satellite
c. increasing the mass of Earth
d. decreasing the velocity of the satellite

Answers

A satellite is in a circular orbit around Earth, so the scenario that will increase the period of the satellite is decreasing the radius of the orbit, which is in Option A because it is determined by the radius of the orbit and the mass of Earth.

What is the period of the satellite?

The motion of a satellite in a circular orbit around a central body, such as Earth, is governed by the balance between the gravitational force acting on the satellite and the centripetal force required to keep the satellite in its circular path, so the period is proportional to the square root of the cube of the radius, so decreasing the radius will increase the period.

As a result, the scenario in Option A that increases the satellite's period is when the the orbit's radius decreases.

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A 5L container has a ​

A 5L container has a

Answers

Answer:a gas at pressure of 0.8 m column of H g

Explanation:I think

Is water wet?
I need an argument.

Answers

Answer:

no :)

Explanation:

ezzzzzzzzzzzzzzzzzzzz

Liquid water is not itself wet, but can make other solid materials wet. Wetness is the ability of a liquid to adhere to the surface of a solid, so when we say that something is wet, we mean that the liquid is sticking to the surface of a material.

The resistance to the motion of an object is

Answers

Answer:

Inertia

Explanation:

Part of Newton's Laws of Motion

If the box the man is carrying is very heavy, explain if he does any work as he walks across the room with it.

Answers

since the box is heavy, i don’t believe he would be able to do any work because of the mass. as the man carries the box across the room, it is being pulled to the ground by gravity— this makes the man focus on keeping the box in his arms.

sorry if this isn’t what you were asking!

Please help, I don't get this

Please help, I don't get this

Answers

C the third one i think good luck

4. Describe the process of fusion in the sun.

Answers

Answer:

In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion. It takes four hydrogen atoms to fuse into each helium atom. During the process some of the mass is converted into energy.

Answer:

Hydrogen in the middle of the sun is being converted into helium. This helium that was just converted from hydrogen (air as we know it) is now called Nuclear Fusion.

Explanation:

What is the force of a 13kg ball that has been dropped and has fallen for 1 second?

Answers

Answer:

127.4 newtons

Explanation:

Assuming g = 9.8:

F = ma = 13(9.8) = 127.4 N

The force of a 13 Kilogram ball that has been dropped and has fallen for 1 second, then the force offered by the ball would be 127.53 Newtons.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem we have to find the force of a 13-kilogram ball that has been dropped and has fallen for 1 second,

The force of the dropped ball = mass of the ball × acceleration due to gravity

The force of the dropped ball = 13 × 9.81

                                                  = 127.53 Newtons

Thus , the force of a 13kg ball that has been dropped and has fallen for 1 second would be 127.53 Newtons.

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The image shows landforms in Monument Valley, Utah.

Which correctly lists the three features shown in the photo?

folds, strike-slip faults, and anticlines
anticlines, synclines, and folds
synclines, normal faults, and strike-slip faults
normal faults, folds, and anticlines

The image shows landforms in Monument Valley, Utah.Which correctly lists the three features shown in

Answers

The correctly lists the three features shown in the photo is folds, strike-slip faults, and anticlines.

What is the difference between folds and failures?

Modern folds are those that emerged recently (on the scale of geological periods), that is, in the Tertiary Period (between 65 million and 2.5 million years ago). Faults are geological structures that originate from vertical (top-down) or inclined internal forces.

The transcurrent fault – also called horizontal fault – occurs when there is displacement in the horizontal plane between the two blocks, being more common in zones where two tectonic plates meet, when these also move horizontally.

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Answer: folds, strike-slip faults, and anticlines. (A)

Explanation: Got it right on my exam on Edge.

What happens when two continental plates meet ?
A One will be heavier and subduct
B They will crash into each other and form mountains
C They will begin to move apart
D One plate will be scared and start crying

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Explanation:

Answer:

option B is correct answer of this question

they will crash into each other and form mountains

hope it helps

i want to put a coffee cup on the shelf need to experience angular rotation of elbow how much angular rotation do i need in shoulder and elbow to reach shelf? if i have 30 degrees of motion (convert to radians), how much linear displacement do i get?

Answers

You will need an angular rotation of 0.524 radians and the linear displacement will be approximately 0.524 meters to place a coffee cup on the shelf.

To put a coffee cup on a shelf, you need to experience angular rotation of your elbow. The amount of angular rotation you need in your shoulder and elbow to reach the shelf will depend on the height of the shelf, the position of your arm, and your body's dimensions. Typically, you will need to raise your arm to reach the shelf, which means you will need to extend your elbow and shoulder joint to achieve the desired angle.

If you have 30 degrees of motion, you need to convert this to radians by multiplying it by \(\pi\)/180. This will give you the angle in radians, which is approximately 0.524 radians.

To calculate the linear displacement, you need to know the distance between your shoulder joint and the shelf. Once you know this distance, you can use basic trigonometry to calculate the linear displacement by using the formula:
linear displacement = angular displacement x distance

In this case, the angular displacement is 0.524 radians (30 degrees converted to radians), and the distance is the distance between your shoulder joint and the shelf.

Therefore, the linear displacement will depend on the distance between your shoulder joint and the shelf. If the distance is 1 meter, the linear displacement will be approximately 0.524 meters.

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Radar waves of wavelength 50 mm are emitted from two aerials and create a fringe pattern 1 kilometer from the aerials. Calculate the distance between the aerials if the fringe spacing is 80 cm.

Answers

If the fringe spacing is 80 cm, the distance between the aerials  is 6.25 meter.

What is interference?

In physics, interference refers to the combined result of two or more wave trains travelling along intersecting or converging trajectories. The result is the result of adding the individual wave amplitudes at each place that is influenced by multiple waves.

Given: wavelength  = 50 mm = 50 × 10⁻⁴  m

the fringe spacing is = 80 cm = 0.80 m.

x = λD/d

d =  λD/x

= 50 × 10⁻⁴ × 1000/0.80 m

= 6.25 meter.

Hence,  the distance between the aerials  is 6.25 meter.

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People hoping to travel to other worlds are faced with huge challenges. One of the biggest is the time required for a journey. The nearest star is 4.1×1016m 4.1 × 10 16 m away. Suppose you had a spacecraft that could accelerate at 1.5 g g for two thirds of a year, then continue at a constant speed. (This is far beyond what can be achieved with any known technology.)How long would it take you to reach the nearest star to earth?

Answers

Answer:

It would take 8.22037 hrs away. Wouldn't it?

Explanation:

Because

    4.11016

    4.11016

            15

= 8.22037

Which is a negative effect of deforestation on the environment? A. habitat restoration B. desertification C. soil production D. urbanization

Answers

Answer:Deforestation refers to the decrease in forest areas across the world that are lost for other uses such as agricultural croplands, urbanization, or mining activities. Greatly accelerated by human activities since 1960, deforestation has been negatively affecting natural ecosystems, biodiversity, and the climate. The UN’s Food and Agriculture Organization estimates the annual rate of deforestation to be around 1.3 million km2 per decade.

Explanation:

The negative effect of deforestation on the environment is desertification. The correct option is B.

What is desertification?

Desertification is the process by which fertile land becomes desert, typically as a result of drought, deforestation, and inappropriate agriculture or land use practices. It occurs when land that was once able to support vegetation and life becomes increasingly dry, barren, and unable to sustain crops, livestock, or human populations. This can be due to natural causes such as prolonged droughts, but it is often exacerbated by human activities such as deforestation, overgrazing, and soil degradation. Desertification can have devastating effects on the environment, leading to soil erosion, loss of biodiversity, and reduced productivity of the land. It can also cause social and economic problems, such as displacement of people, food shortages, and conflicts over resources.

Here in the question,

Deforestation is the clearing of trees and other vegetation from an area, leading to the loss of habitat and biodiversity, and disruption of water cycles. It can also cause soil erosion, which can result in the depletion of soil nutrients, reduced productivity, and eventually lead to desertification. Additionally, deforestation contributes to climate change by releasing carbon dioxide into the atmosphere, which can cause global warming and other environmental problems. Habitat restoration, soil production, and urbanization are not negative effects of deforestation but can be impacted by it.

Therefore, The correct answer is B i. e Desertification.

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At what conditions acceleration of a body is zero?​

Answers

Answer:

when there is uniform velocity the acceleration of a body is zero

A circular loop of wire with a radius of 13.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. A field of 1.7 T is directed along the positive z-direction, which is upward. PART A: If the loop is removed from the field region in a time interval of 2.9 ms, find the average emf that will be induced in the wire loop during the extraction process.

Answers

The average emf that will be induced in the wire loop during the extraction process is 31.12 V.

A round circle of wire with a sweep of 13.0 cm and situated in the level xy-plane is situated in a district of uniform attractive field. Along the positive z-direction, which is up, a field of 1.7 T is directed.  In the event that the loop is removed from the field region within 2.9 milliseconds,

The typical emf that will be actuated in the wire circle during the extraction process= e =(π) r² B/t

                e = π × 169× 10⁻⁴ × 1.7/(2.9× 10⁻³)

                        = 31.12 V

What is the induced emf?

The occurrence of a potential difference in a coil as a result of changes in the magnetic flux that passes through it is what we mean by this term. In simpler terms, when the flux linking with a conductor or coil changes, electromotive force, or EMF, is said to be induced.

An induced emf is caused by what?

Changes in magnetic flux are the most fundamental cause of an induced EMF. Putting a current conveying loop that is moving continually in a steady and static attractive field. EMF will be produced as a result of a change in the area vector brought about by this.

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An inclined plane has a mechanical advantage of 6. 7. If input force is 120 pounds, how much weight can be moved ?

Answers

With a mechanical advantage of 6.7 and an input force of 120 pounds, the inclined plane can move a weight of approximately 804 pounds.

The mechanical advantage of an inclined plane is calculated by dividing the length of the plane by its height. In this case, since the mechanical advantage is given as 6.7, it means that for every 6.7 units of length along the inclined plane, there is a unit of height.

To determine the weight that can be moved, we need to consider the relationship between the input force and the weight. The weight that can be moved is equal to the product of the input force and the mechanical advantage.

In this scenario, the input force is 120 pounds, and the mechanical advantage is 6.7. Multiplying these values together gives us approximately 804 pounds. Therefore, with an input force of 120 pounds, the inclined plane can move a weight of around 804 pounds.

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A thin lens is comprised of two spherical surfaces with radii of curvatures of 34.5 cm for the front side and -26.9 cm for the back side. The material of which the lens is composed has an index of refraction of 1.66. What is the magnification of the image formed by an object placed 42.6 cm from the lens?

Answers

The magnification of the image formed by the lens is -0.982.

To determine the magnification of the image formed by the lens, we can use the lens formula:

1/f = (n - 1) * (1/r1 - 1/r2)

Where f is the focal length of the lens, n is the refractive index of the lens material, r1 is the radius of curvature of the front surface, and r2 is the radius of curvature of the back surface.

Given that the radii of curvature are 34.5 cm and -26.9 cm, and the refractive index is 1.66, we can substitute these values into the lens formula to calculate the focal length.

Using the lens formula, we find that the focal length of the lens is approximately 13.54 cm.

The magnification of the image formed by the lens can be determined using the magnification formula:

m = -v/u

Where m is the magnification, v is the image distance, and u is the object distance.

Given that the object is placed 42.6 cm from the lens, we can substitute this value and the focal length into the magnification formula to calculate the magnification.

Substituting the values, we find that the magnification of the image formed by the lens is approximately -0.982.

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Adam doesn't know whether he will be thanked or criticized if he helps cook dinner. He isuncertain aboutA. self-efficacy expectancies.B. competencies.C. encoding strategies.D. behavior-outcome expectancies.

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Adam's uncertainty about whether he will be thanked or criticized for helping cook dinner relates to his behavior-outcome expectancies.

Behavior-outcome expectancies refer to a person's beliefs about the outcomes or consequences that are likely to follow from their actions. In this scenario, Adam is uncertain about the potential outcomes of his behavior, specifically whether he will be thanked or criticized for helping cook dinner. In this case, Adam's uncertainty specifically revolves around his behavior-outcome expectancies (D). He is unsure about the potential responses he will receive for his action of helping cook dinner. This uncertainty may stem from factors such as past experiences, social norms, or the specific dynamics and expectations within his household. Adam's uncertainty highlights the importance of understanding and managing behavior-outcome expectancies in interpersonal interactions and decision-making processes.

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If a car has an initial velocity of 20 m/s and accelerates at 2.0 m/s² for 100 m, what is its final velocity?

Answers

Answer:

28.28 ms-1

Explanation:

v² = u² + 2as

v² = 20² + 2× 2×100

v² = 800

v = 28.28 ms-1

what is the cost of monthly (30 days) electric bill of ana if her city's cost of electricity is 0.05$ per kwh and she uses three refrigerators running in 600-watt power rating and open 24 hours

Answers

Answer:

1kW = 1000W

600W = 0.6kW

Cost of electric bill = 0.6kWh × 24 × 30 × $0.05

                               = $21.60

A ball of mass 0.2kg travelling in the x direction at a speed of 0.5m/s collides with a ball of mass 0.3kg travelling in the y direction at a speed of 0.4m/s. the two balls stick together after the collision travelling at an tita to the x direction. what is the value of tita

Answers

The value of tita is approximately 32.4 degrees.

The momentum in the x direction before the collision is 0.2 kg * 0.5 m/s = 0.1 kgm/s. The momentum in the y direction before the collision is 0.3 kg * 0.4 m/s = 0.12 kgm/s. The total momentum before the collision is the vector sum of the momenta in the x and y direction, which is √(0.1^2 + 0.12^2) = 0.16 kg*m/s.

After the collision, the two balls stick together and move at an angle tita to the x direction. Let's call the velocity of the combined mass v. The total momentum after the collision is the mass of the combined balls multiplied by the velocity, which is (0.2 kg + 0.3 kg) * v = 0.5 kg * v.

Since momentum is conserved, the total momentum before the collision is equal to the total momentum after the collision: 0.16 kg*m/s = 0.5 kg * v. Solving for v, we get v = 0.32 m/s. We can find the angle tita using trigonometry. The x component of the velocity is v_x = v * cos(tita) and the y component of the velocity is v_y = v * sin(tita). So we have v_x / v_y = tan(tita). Plugging in the values, we get tan(tita) = (0.32 m/s) / 0.5 m/s, or tita = arctan(0.64) = 32.4 degrees.

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Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v with arrow| = 160 km/s and the orbital period of each is 14.3 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 1030 kg.)

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The mass M of the star is mathematically given as

M=24.269kg

What is the mass M of the star?

Question Parameters

Orbital period P= 14.3*24*60*60 s

P= 1235520s

Speed V=160000

Generally, the equation for the Radius is  mathematically given as

R =\(\frac{ V*t}{ 2*pi}\)

Therefore

R =\(\frac{ ( 160000 )*(1235520 s)}{ 2*3.142}\)

R=\(3.14581795*10^{10}\)

Where

M*v^2/R = GM^2/(2R)^2

Therefore

M=\(=4(v^2)R/G\\\\ =4(240^2)R/G\\\\ = \frac{4*(160000)^2)*3.14581795*10^{10}}{6.67*10^{-11}}\)

M=4.82956159*10^{31}kg

Considering, that the mass of our Sun is 1.99*10^{30} kg.

The mass M of the star is

M\(=\frac{4.82956159*10^{31}}{1.99*10^{30}}\)

M=24.269

In conclusion, the mass M of the star is

M=24.269

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