Two identical cars, one on the moon and one on earth, are rounding banked curves at the same speed with the same radius and different angles. The acceleration due to gravity on the moon is 1/6 that of earth. How do the centripetal accelerations of each car compare?.

The reaction is the force applied by the player's glove on the ball.

Newton's third law of motion states that when one body exerts a force on the other body, the first body experiences a force which is equal in magnitude in the opposite direction of the force which is exerted”.

The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.

The direction of the force on the first object is opposite to the direction of the force on the second object.

According to this question, a player catches a ball. The action is the force to the ball against the player's glove while the reaction or opposite force will be the player's glove against the ball.

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If the distance between two charged particles is doubled, the force between them changes by a factor of 1/4.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Force between two charge particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Therefore, if the distance between two charged particles is doubled, the force between them changes by a factor of 1/4.

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Doubling the mass of the object doubles both the kinetic energy and momentum. The factor that these variables change is 2.

Kinetic energy of an object can be written as:

K.E. = 1/2 m v2

Momentum is given as:

P = m v

when we have a moving object, we will let its mass be m₀

We will let its initial kinetic energy and momentum be:

E₀ =1/2 m₀ v²₀

The momentum is given as: p₀ =m₀v

Now when we double our mass, we have: m = 2m₀

We substitute this into our generalized formulas:

E = 1/2(2m₀)v²

The momentum  p = 2m₀v

We can separate the new factors: E =2(1/2 m₀v₂)

The momentum p =(2 )(m₀v)

These are our initial kinetic energy and momentum.  Thus we have:

E = 2 E₀

p =2p₀

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a weight of mass 1.09 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.22 kg and radius 1.04 m. the system is released from rest. vertical distance does the hanging mass move in 3.0 seconds is 18.27 m

distance can be calculate as follows:

Suspended mass, m = 1.09 kg

Pulley mass, M=4.22 kg

pulley radius, r = 1.04 m

now,

Let's put some tension on the "T" string

For this,

vertical net force

mg - T = ma …………(1)

Where,

g is the gravitational acceleration

a is the acceleration of the suspended mass.

Pulley torque = Iα

I is the moment of inertia of the pulley

α is the angular acceleration

Pulley torque is due to string movement

therefore,

Torque = T x r

Also

α = a/r

and I = (Mr²/2) (for circular discs)

Substituting the values ​​of the above relationship for torque, we get

T × r = (Mr²/2) × (a/r)

T = (Ma)/2 …………(2)

from 1 and 2

mg - [(Ma)/2] = ra

mg= a(M + r)

          2

(1.09x9.8) =  a( 4.22 + 1.04)

                         2

a= 4.06

now we know that

s= ut+1/2 at²

where s is the distance traveled

u is the initial velocity = 0 (in this case)

t is time = 3 seconds

So if you replace the value

s= (0x3)+ 1/2 4.06 (3)²

s = 18.27 m

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The Doppler method is most frequently employed to find extrasolar planets, however it works best for finding extremely large planets that are near to their host star.

Venus is the hottest planet within our solar system, with average global temperatures hot enough even to melt lead due to the runaway greenhouse effect caused by its thick atmosphere, which traps heat. Venus is around 700°F (390°C) hotter that it would be in the absence of the greenhouse effect.

Our solar system is made up of ten planetary systems, 146 moons, countless comets, meteorites, and other space objects, as well as Pluto and several dwarf planets. In the system, there is just the Sun. The eight planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and finally Neptune.

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The acceleration of the 5. 0-kilogram cart on applying two equal and opposite force be 0 m/s².

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given parameters:

One force: F₁ = 25 Newtons acted eastwards.

Another force: F₂ =  25 Newtons acted westwards.

Magnitude of net force acting on the object = (25N -25N) = 0 Newton.

Hence, acceleration of the 5. 0-kilogram cart. be 0 m/s².

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[tex]2v_{0}[/tex] speed should he have given the ball.

here,

initial speed of the ball is v₀

let the resistive force be f and the distance of the hole be d

when  it cover distance d/4

using work energy theorem

work done grass force = change in kinetic energy

F × d/4 = 0.5 × m × [tex]v_{0} ^{2}[/tex]

F = 2 ×m×[tex]\frac{v_{0} ^{2} }{d}[/tex]                                        (1)

for covering the distance d

let the velocity be v

work done grass force = change in kinetic energy

F ×d = 0.5 × m × [tex]v^{2}[/tex]

putting F from (1)

2 ×m× [tex]\frac{v^{2} _{0} }{d}[/tex]×d = 0.5 ×m × [tex]v^{2}[/tex]

4 × [tex]v_{0} ^{2}[/tex] =    [tex]v^{2}[/tex]

v =  [tex]2v_{0}[/tex]

What is work-energy theory and how is it supported?

According to the work-energy theorem, the work done by the net force exerted on a body equals the change in kinetic energy. W = kf - ki is the simplest way to express it. The work energy theorem equation is the one shown above. If the body's kinetic energy declines, the net work done W becomes negative.

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The separation between the objective and the eyepiece should be -7.368 cm to get the desired magnification of 30.

Magnification - For a compound microscope, the magnifying power is given by M = Me × Mo where Me = 1 + (d/fe ), is the magnification due to the eyepiece and Mo is the magnification produced by the objective.

According to the given information : fe = 3.5 cm ; fo = 2.0 cm ;

d = 25 cm (d = The normal distance of clear vision of the human eye) and M = 30

Let L be the distance between the objective and the eyepiece.

M = -L/fo (1 + d/fe)

30 = -L/2.0 cm (1 + 25 cm/3.5 cm)

L = -7.368 cm

The separation between the objective and the eyepiece should be -7.368 cm to get the desired magnification of 30.

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The elongation of the aluminium rod subjected to an axial tensile load is 0.00239 mm. So, the 3rd option is correct.

It is given to us that -

Initial length of the aluminium rod = 15 mm

Diameter of the aluminium rod = 37 mm

Axial tensile load on the aluminium rod = 65 kN

We have to find out the elongation of the aluminium rod in mm.

The deformation (in this case, elongation) of an aluminium rod with specific length and diameter which is subjected to an axial tensile load can be represented in the form of an equation given by -

δ = [tex]\frac{P*L}{A*E}[/tex] ----- (1)

where,

δ = Deformation of the rod

P = Axial tensile load

L = Length of the rod

A = Area of the rod

E = [tex]2*10^{5}[/tex] [tex]N/mm^{2}[/tex]

According to the given information, we have

P = 65kN = [tex]65*10^{3}[/tex] N

L = 15 mm

A = [tex]\frac{\pi }{2} d^{2}[/tex] where d is diameter of rod

Substituting these values in equation (1), we have

δ = [tex]\frac{P*L}{A*E}[/tex]

=> δ = [tex]\frac{65*10^{3}*15}{\frac{\pi }{2} (37)^{2}*2*10^{5}}[/tex]

=> δ = 0.00239 mm

Thus, the elongation of the aluminium rod subjected to an axial tensile load is 0.00239 mm. So, the 3rd option is correct.

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This increased range's objective is to make it easier for the sound to create detectable high frequency noises.

A sound wave is a series of disruptions that are caused by energy that is being transmitted away from the source of the sound. The path of the acoustic waves is parallel of the particle vibration. So, longitudinal waves is what they are called. Atoms move back and forward between instantaneously as they vibrate.

Transverse waves, such as sound waves, spread diagonally to the transmission medium. Sound waves move in a straight line parallel to the transmission medium since they are longitudinal waves. Depending on the temperature, sound waves can move in either a longitudinal or transverse direction. This increased range's objective is to make it easier for the sound to create detectable high frequency noises.

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This increased range's objective is to make it easier for the sound to create detectable high frequency noises.

A sound wave is a series of disruptions that are caused by energy that is being transmitted away from the source of the sound. The path of the acoustic waves is parallel of the particle vibration. So, longitudinal waves is what they are called. Atoms move back and forward between instantaneously as they vibrate.

Transverse waves, such as sound waves, spread diagonally to the transmission medium. Sound waves move in a straight line parallel to the transmission medium since they are longitudinal waves. Depending on the temperature, sound waves can move in either a longitudinal or transverse direction. This increased range's objective is to make it easier for the sound to create detectable high frequency noises.

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The ideals that we place Our time is equivalent to 20 seconds since S is 400 meters and an is four meters per second squared.

Car's acceleration was gradual. To move through the grades more quickly than is typical: to follow a sped-up educational curriculum. The rate of change has accelerated in recent months.

Any alteration in an object's velocity might take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stalled at a stop sign are a few instances of acceleration.

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The outcome was a slope that was upwards. Heat is received at a rate that is inversely proportional to the quantity of heat lost.

Simply said, temperature is an object's heat or cold, and heat is the energy that moves from a hotter to a cooler thing. If you stick your thumb around a cup of coffee, it might feel warm to the touch, for instance. It is warm because the coffee's heat has been transmitted to the cup.

The transfer of energy at a high pace from an energy source to a medium or an object, or the opposite, is known as heat. These three techniques for transferring energy include radiation, conduction, and convection.

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The average power increases by a factor of 3^2 = 9 since is proportional to the square of the rms voltage.

What is rms voltage?

In the AC waveform tutorial, we briefly looked at the RMS voltage value of a sine wave and said that this RMS value would give the same heating effect as the equivalent DC power. We detail them in terms of RMS voltage and current.

The term 'RMS' stands for 'Root Mean Square'. Most books define this as "the amount of AC power that produces the same heating effect as equivalent DC power" or something along those lines, but the RMS value is much more than that. Mean value of the quadratic function of instantaneous values. The symbols used to define RMS values ​​are VRMS or IRMS.

Therefore, the average power increases by a factor of 3^2 = 9 since is proportional to the square of the rms voltage.

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Nasa’s Orion spacecraft, which left earth last week, flew within 81 miles of the surface of the moon.

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3.325m/s^2 acceleration will you give to a 24.9 kg box if you push it horizontally with a net force of 82.8 N.

What is Newton's second law?

Following Galileo, Isaac Newton investigated the motion of various substances and came up with his three famous laws, the first of which defines force and the second of which analyzes it. When an object's mass is constant under certain circumstances, the force is theoretically equal to the sum of the body's mass and the acceleration it experiences.

Data Given

- Mass of the box[tex]$m=24.9 \mathrm{~kg}$[/tex]

- Net horizontal force on the box[tex]$F=82.8 \mathrm{~N}$[/tex]

As per Newton's second law

[tex]$$\begin{aligned}& F=m a \\& a=\frac{F}{m} \\& a=\frac{82.8 \mathrm{~N}}{24.9 \mathrm{~kg}} \\& a=3.325 \mathrm{~m} / \mathrm{s}^2\end{aligned}$$[/tex]

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The Theoretical Magnetic field at center of solenoid will be ηNi/L with a percentage difference of 50%.

[tex]B=uNi/L[/tex]

[tex]\beta =\int\limits^ {} B\, dx[/tex]

[tex]\beta =Bsin[2\pi -wt]\\\\k=2\pi /y\\\\\frac{B}{e}=c[/tex]

[tex]\int\limits^a_b {B} \, dx =UIc= Flux[/tex]

where u is permeability , N is number of turns , i is current and L is the length of solenoid.

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The meterstick has a mass of 0.40 kg and is suspended from a string that is knotted at the 11-cm point. A 0.40-kg object is suspended from the meterstick's zero end due to its uniform density.

Mass is a physical body's total amount of matter. It also serves as a gauge for the body's inertia, or resistance to acceleration (change in velocity) in the presence of a net force. The strength of an object's gravitational pull to other bodies is also influenced by its mass. The substance's mass per unit of volume is known as its density (volumetric mass density or specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Mass is the mathematical definition of density.

M2 = 0.40 Kg

d =  11cm

m1*g*r1 = m2*g*r1

m1*9.8 = 0.40*9.8

m1 = 0.40 kg

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If the net force is reduced, the object's acceleration equals 0.13 m/s².

For instance, even though a car is moving when it is continuously moving at 50 mph on the highway, there is no acceleration, so the net force of the car is zero.

Given

0.8 N acting as a net force on a 1.5 kg mass

To 0.2 N, the net force is reduced

Newton's 2nd law

∑F = ma

The 1.5 kg mass used in states 1 and 2 does not change

At state 1

∑F = 0.8N

m = 1.5kg

a = ∑F/m

a = 0.8/1.5

a = 0.53m/s²

At state 2

∑F = 0.2N

m = 1.5kg

a = 0.2/ 1.5

a = 0.13m/s².

The net force is reduced, the object's acceleration equals 0.13 m/s².

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750 nm is the predicted wavelength. The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

= slit separation = 1.8 mm = 0.0018 m

is the monochromatic light's wavelength.

= 4.8 meters from the screen

= first bright fringe's position =

= order = 1

The first bright fringe's position is indicated by

λ = 7.5 x 10⁻⁷ m

λ = 750 nm

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The torque of rope F = 500 N * 3 m * sin(30 degrees) = 800 Nm.

What is torque?
Torque seems to be the rotational equivalent of force in physics and mechanics. Depending on the area of study, it is also known as that of the moment, instant of force, rotational force, or turning effect. It illustrates how a force can cause a change in the body's rotational motion. In his famous adage, "Give me a lever as well as a place to stand, and I'll move the Earth," Archimedes, who studied the use of levers, is credited with developing the idea. A torque could be thought as a twist to the an object around a particular axis, similar to how a linear force is indeed a push or a pull.

The torque of rope F is equal to the product of the force (F) and the lever arm (r). The lever arm is equal to the length of the rope multiplied by the sine of the angle between the rope and the axis of rotation.

Therefore, the torque of rope F = F * r = F * (length of rope) * sin(angle between rope and axis of rotation).

For example, if F = 500 N, the length of the rope = 3 m, and the angle between the rope and the axis of rotation is 30 degrees, then the torque of rope F = 500 N * 3 m * sin(30 degrees) = 800 Nm.

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Solar activity includes coronal mass ejections, high-speed solar winds, solar energetic particles, and solar flares.

The magnetic fields become tangled, stretched, and twisted due to the Sun's perpetual gas movement. Solar activity, or solar activity as it is also known, is produced by this motion on the Sun's surface. The Sun's surface occasionally exhibits intense activity. The atmosphere can change from time to time.

In actuality, the lengthier, 22-year cycle of solar activity is divided in half by the 11-year sunspot cycle. The magnetic field of the Sun associated with sunspots reverses polarity with each upswing and downswing in the number of sunspots, and the northern and southern magnetic hemispheres of the Sun alternate in their orientation. There is an 11-year cycle between solar activity maxima as determined by the quantity of sunspots.

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The maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is +- 0.634

Given:

The sample size, [tex]n=48\\[/tex]

The mean of the given sample, [tex]x=34\\[/tex]

Population standard deviation[tex]=4.4\\[/tex]

Significance level[tex]=1- confidence \\[/tex]

[tex]=1-0.90\\=0.1[/tex]

The critical value, [tex]z=(n-x)/deviation=\frac{48-34}{4.4}=3.181[/tex]

The closest z value from the z table corresponding to z=3.181 is [tex]z=.99926[/tex]

The margin of error, [tex]E=z* deviation/\sqrt{n} =0.99926*\frac{4.4}{\sqrt{48} }= 0.634[/tex]

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The width of the tower at the top will be 92 m. Then the correct option is B.

Hyperbola-

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A cooling tower is 120 meters tall.

The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.

The center of the tower is at the origin.

Then the width of the tower at the top will be

x²/500 – (120)²/900 = 1

x²/500 – 14400/900 = 1

x²/500 – 16 = 1

x²/500 = 1 + 16

x²/500 = 17

x² = 8500

x = 92.19 ≈ 92 m

Then the correct option is B.

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The electron's K.E. is P 2 /2m=2.4151019 J=1.51 eV. The relationship between the system's energy output and input is referred to as the "energy balance," "energy payback ratio," or "energy ratio."

The balance of energy can be written as. Eo = dE plus Ei. The energy returned by the material to the energy taken in from the environment is known as the yield ratio. Only the primary fuel can speed up growth, but their availability is constrained.

The De Broglie hypothesis states that p= h \s​

= \s1∗10 \s−9

6.62∗10 \s−34

​ \s =6.62∗10 \s−25 \s kg−m/s

No matter if it's an electron or a photon, the value is constant.

(b) λ=1 nm

E = hc / e = 1243.1 eV = 1.24 keV

Momentum, p=h/=6.631025 kgm/s, is shown in (c).

The electron's K.E. is P 2 /2m=2.4151019 J=1.51 eV.

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The maximum value of the car’s velocity in order to prevent the car from skidding off the road is (urg)^(1/2)

The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

The pace at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. The definition of velocity is the specification of a moving object's speed and direction (for example, 60 km/h to the north).

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The mechanical advantage of the lever is 4.8

Mechanical advantage is a measure of the ratio of output force (load) to input force (effort applied) in a system, used to analyze the forces in simple machines like levers and pulleys. Changing the forces that are applied, the conservation of energy is still true and the output energy is still equal to the input energy.Mechanical advantage has no unit.

Therefore mechanical advantage is given as Load/Effort

In this case the load is 120N and the effort is 25N

Therefore the mechanical advantage of the lever = 120/25= 4.8N

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The distance from the wall is 17 m when a bat flying in a cave emits a sound and receives its echo 0.1 s later.

Given sound wave velocity (s) = 340m/s

Time taken for the sound wave (echo) to travel towards the wall and reflect off the bat = 0.1 s

So the time taken by the sound wave to travel to the wall only (t) = 0.1s/2 = 0.05s

Distance from wall to bat (d) = speed of sound wave(s) * time(t)

The distance between the wall and the bat is = 340 m/s * 0.05 s = 17 m

Thus, the distance from the wall when a bat emits a sound and receives its echo 0.1 s later in a cave is 17 m.

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A moving object has a negative velocity when it is moving in the wrong direction. If an object is slowing down, its acceleration vector is pointing away from the direction in which it is moving.

Positive and negative charges move in the polar opposite directions. The positive charges will flow counterclockwise and the negative charges will travel clockwise, for instance, if the field is into this page. Positive charges are subject to an electric force that travels with the electric field. Additionally, negative charges are subject to an electric force that runs counter to the direction of the electric field. When a car is speeding up, the acceleration points in the same direction as the velocity; when it is slowing down, it points in the opposite direction.

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The average speed of the man for the whole journey is 2.25 km/hr.

The average velocity of the man for the whole journey is  2.25 km/hr.

The average speed of an object is the ratio of the total distance traveled by an object and the time taken for the journey.

The average speed of an object is given mathematically as follows:

Average speed = tota; distance / total time taken

From the data given:

Total distance traveled = 7 km + 2 km

Total distance traveled = 9 km

Total time taken = 2 + 1 + 1

Total time taken = 4 hours

Average speed = 9 km / 4 hrs

Average speed = 2.25 km/hr

The average velocity of the man for the journey is calculated as follows:

average velocity = change in displacement/change in time

The journey took place in the same direction, hence, the displacement is 9 km.

Average velocity = 9 km / 4 hrs

Average velocity = 2.25 km/hr

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Complete Question:

Two slits spaced 0.260 mm apart are placed 0.700 m from a screen and illuminated by coherent light with a wavelength of 660 nm. The intensity at the center of the central maximum ( = 0°) is [tex]I_{0}[/tex].

What is the distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]I_{0}/2[/tex]

The distance on the screen from the center of the central maximum 0.44 mm where the intensity has fallen to [tex]I_{0}/2[/tex]

The two slits are separated by 0.260 mm.

The screen's distance from the slits is 0.700 meters.

The coherent light has a wavelength of 660 nm.

The value of the path difference will equal to [tex]\pi /2[/tex]  because the intensity has decreased to [tex]I_{0}/2[/tex].

This path difference's above formula can be expressed as,

[tex]y_{n} = \frac{(2n-1)D\alpha }{2d}[/tex]

D is the distance of the screen to the slits.

[tex]\alpha[/tex] is the wavelength of the light

d is the distance between slits.

The intensity at the center of the central maximum is [tex]I_{0}[/tex]

Now,

[tex]y = \frac{(2*1)D}{d} *\frac{\alpha }{2\pi } *\frac{\pi }{2}[/tex]

Putting all the values in the formula, we get:

y = 0.44 m

Thus, the distance on the screen from the center of the central maximum 0.44 mm.

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