a two-slit fraunhofer interference-diffraction pattern is observed with light of wavelength 660 nm. the slits have widths of 0.01 mm and are separated by 0.19 mm. how many bright fringes will be seen in the central diffraction maximum?

The magnitude of the magnetic field at the center of the loop 6.28  × 10⁻⁵ T.

A magnetic field is a vector subject that describes the magnetic effect on moving electric charges, electric currents, and magnetic materials. A transferring price in a magnetic area stories a pressure perpendicular to its very own pace and to the magnetic discipline.

calculation:-

Given;

Number of turns n  = 17 turns

radius = 11 cm = 0.11m

current i = 0.58 A

Magnetic field at the centre of the loop is

B = μ₀nI//2r

B = 4π × 10⁻⁷ × 17 × 0.58 / 2× 0.11

  = 628.4 × 10⁻⁷ T

   = 6.28  × 10⁻⁵ T

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric-powered currents, and magnetic substances. A transferring rate in a magnetic field story a pressure perpendicular to its own velocity and to the magnetic area.

The magnetic field is the place around a magnet wherein the impact of magnetism is felt. We use the magnetic discipline as a tool to explain how the magnetic force is shipped in the area around and inside something magnetic in nature.

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The magnitude and direction of the minimum magnetic field that will keep the particle moving in the earth’s gravitational field in the same horizontal, northward direction is 1.911 Tesla.

Velocity v = 4×[tex]10^{4}[/tex]

Charge q = 2.5 × [tex]10^{-8}[/tex]

Mass of particle m= 0.195 g = 0.195 × [tex]10^{-3}[/tex] kg

Using the concept of Lorentz force

mg=Bvq

B = mg/vq

Substituting the values

B= 0.195 × [tex]10^{-3}[/tex] × 9.8/4×[tex]10^{4}[/tex]×2.5×[tex]10^{-8}[/tex]

B= 1.911 Tesla

Therefore, To produce upward force, using right hand value and taking particle in negative charge then the magnetic field has to be point in eastwards.

What is gravitational field?

In physics, a gravitational field is a model used to describe the effect of one massive object spreading out in space around it and creating a force on another massive object. Gravitational fields are used to describe gravitational phenomena and are measured in Newtons per kilogram.

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B- 70 percent of the original strength for intermediate fabric.

What is  Fabric covering?

Fabrics are adaptable and employed in a wide range of industries, including clothing, agriculture, the military, and obviously the healthcare sector. More than you would imagine, specialty textiles are a part of our daily life. These textiles are generally flame resistant, mould and mildew resistant, and particularly treated with antibacterial properties for the healthcare sector. Why, I presume you ask? Because textiles used often in the medical field need to be antimicrobial and stain resistant from the start, this will help prevent bacteria from growing on the fabric surface.

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A galaxy's halo is a large, generally spherical area that surrounds the disk.

Solution b is accurate.

An extended, approximately spherical component of a galaxy that extends beyond the primary, visible component is called a galactic halo. The halo is made up of several distinctive galaxy parts, including: the halo of a star. a galaxy's corona (hot gas, i.e. a plasma)

The term "halo" refers to a ring of light that seems to surround the sun or moon and is caused by the refraction or reflection of light by atmospheric ice particles.

Globular clusters and other aging stars can be found in the galactic halo, a region of the galaxy that extends far above and below the galactic disk. - Roughly round; somewhat flattened. - Only includes old stars. - is free of gas and dust.

Thus halo galaxy is a large, roughly spherical region surrounding the disk (option B is correct)

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The half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes is 3.5 minutes.

Rate of first order reaction is given by:[tex]kt = 2.303 * log(R'/R)[/tex]

Where , k = rate of reaction

             t= time = 2.5 minutes

             R= final amount = 31.7g

             R'= initial amount = 55.4g

Putting these values in above equation we get k = 0.22

Now half life of a first order reaction is given by: 0.693/k

Putting k= 0.22 , we get half life = 3.5 minutes.

So the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes is 3.5 minutes.

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The rank of the terrestrial planets based on their expected cooling rates, from fastest cooling to slowest cooling is as follows -

mercury , Mars, Venus, Earth

Mercury - It is the smallest terrestrial planet in the solar system. It has a thin atmosphere, which causes it to swing between burning and freezing temperatures.

Mars - It is less dense than Earth and has a smaller magnetic field, which is a indication of a solid core rather than a liquid one. Mars is known to have water ice and organics- some of the ingredients for living things.

Venus - It is about the same size as Earth and has a thick, toxic carbon-monoxide (CO) dominated atmosphere that traps heat, making it the hottest planet in the solar system.

Earth - Out of the four terrestrial planets, Earth is the largest and has regular seasons for much of it surface; regions closer to the equator tend to stay warm, while spots closer to the poles are cooler and in the winter, icy.

Therefore, the cooling rate of terrestrial planets is Mars, Earth, Venus, Mercury

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When the block  of iron is  placed  in water  the volume of water that   is  displaced is 27.0  cm³

Hence, Option D is correct.

Explain in detail.

therefore the volume displaced = 27 cm³  since the volume of water displaced  is equal to  volume of block.

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At the base of the incline, Sam is moving at a speed of 15.73 m/s. who weighs 75 kg puts on his skis and begins to descend a 50 m-high, 20 frictionless slope.

Sam's bottom-of-the-screen speed is determined using the Work-Energy Theorem as follows: An object moves parallel to the plane on a slope with no friction. Both the normal force and the gravitational perpendicular component cancel each other out because they are acting in the same speed. Therefore, an object on a frictionless slope is solely accelerated by the gravitational parallel component. On a surface on an inclined plane with no friction, any item accelerates.

delta W is equal to the delta kinetic energy for frictionless slope

(36750 - 27472) = 1/2*75*(v2 -0).

9278=37.5(v^2)

v^2 = 9278/37.5(v2)

v^2 = 247.4v = 15.73 m/s

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In drawing, the holding force is most likely to be lower than the maximal drawing force.

By using a special method called FORCE Drawing, you can learn to see things more clearly and to comprehend what you are looking at. This will help you to draw from life and from your imagination with great talent and understanding.

All forces operating on an item, their direction, and their magnitude are represented in a force diagram. The image has been streamlined to only depict the forces.

The term "force diagram," sometimes known as a free body diagram, refers to a sketch in which all force vectors acting on an object are shown with their initial points at the location of the object.

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The addition of a fourth bulb will cause some of the three lights in a series circuit to become dim.

A wire filament is used in an electronic bulb, a compact and basic light source that emits light when power is applied. The illustration below shows the incandescent light bulb's construction. Three essential components make up the light bulb. the thread. glass lightbulb

An electrical device that generates light is known as an electric light, lamp, or lightbulb. The most prevalent type of artificial illumination is this. A lamp's base, which is often composed of ceramic, metal, glass, or plastic, attaches it in the socket of such a lighting system, which is also frequently referred to as a "lamp."

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The angular separation is 77.8°.

What is angular separation?

It is the angle between two point objects or sightlines, as seen from an observer. It is denoted by θ.

What is bragg's law?

Bragg's law states that "The reflected x-ray beam has the same angle of scattering as the incident beam when an x-ray beam strikes a crystal at an angle. When the path difference (d) is equal to the wavelength's whole number (n), constructive interference will result."

nλ = 2d sin θ

Separation of 532 lines = 1 mm, so the slit separation is,

d= 1 / 532 mm

=[tex](1.8 * 10^-^3mm) (\frac{10^-^3m}{1 mm)}[/tex] = [tex]1.8 * 10^-^6[/tex] m

The Bragg's equation is,

d sinθ = nλ

Rewrite the Bragg's equation for θ

θ = [tex]sin^-^1[/tex] [mλ / d ]

Thus, the angle of diffraction is,

θ = [tex]sin^-^1 [\frac{2(565 * 10^-^9) }{1.8 * 10^-^6}][/tex]

= 38.89°

Angular separation = 2θ

=2(38.89)°

= 77.78°

≅ 77.8°

The angular separation is 77.8°.

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The tension in the cable is 929.334 N.

Solution:

The net force in the horizontal direction is T - F = 0.

Resolving vertically,

N = mg

The relationship between friction and reaction force is

[tex]F = \mu_{k}N[/tex]

[tex]T - \mu_{k} N = 0[/tex]

[tex]T = \mu_{k} mg[/tex]

= [tex](0.870)(109 kg) \times 9.8 \frac{m}{s^{2}}=(0.870)(109kg)[/tex] x 9.8ms²

N = 929.334N.

Tension refers to the force transmitted when a cable, rope, wire, or cord is knotted by forces acting on both ends. The cord is unidirectional along its length and pulls the object evenly at both ends of the cord. As lift increases, the total stress equals the sum of weight and force due to acceleration. As the lift is lowered, the total stress equals the difference in weight and force due to acceleration.

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The average angular acceleration of Ferris wheel is 0.368m/s².

ω=1.9rad/s

α=4.9rad

To find angular acceleration.

[tex]w^2=2\alpha s[/tex]

To find α:-

[tex]\alpha =\frac{w^2}{2s}[/tex]

=1.9 x 1.9/9.8

=0.368m/s²

To find angular acceleration-

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Air in an ideal Diesel cycle is compressed from 4 L to 0.25 L, and then it expands during the constant pressure heat addition process to 0.50 L. Under cold air standard conditions, the thermal efficiency of this cycle is 65.2%.

For an air standard engine with γ = 1.4, compression ratio r and fuel cut off ratio rc where r = V1/V2

and rc = V3/V2 and V1 = 4l, V2 = 0.25l and V3 = 0.50l

The efficiency (n) of diesel cycle is ----

n = 1 - [1 / r^(γ - 1)] * (rc^γ -1) / γ(rc - 1)

n = 1 - [1/(4/0.25)^(1.4-1)] * (0.50/0.25)^1.4 - 1 / 1.4 [(0.50/0.25) -1 ]

n = 1 - [1/3.03] * [2.63 - 1] / 1.4x1

n = 0.652

n% = 65.2%

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A specific example of a practical application of waves in medicine is the capturing of body structures to detect abnormalities in them.

Abnormality is the giant deviation from normally usual patterns of conduct, emotion, or notion, same time as normality is the absence of illness and the presence of a country of nicely being otherwise referred to as normalcy. It may be hard to attract the line between regular and strange behaviors, specifically in management.

Abnormality consists of 3 extraordinary classes; they're subnormal, supernormal, and paranormal. The technology of unusual psychology studies two types of behaviors: adaptive and maladaptive behaviors.

Apart from genes, similarly, organic elements that contribute effectively to the abnormality of 1's behavior are neurotransmitters and hormones. Imbalance in neurotransmitters like GABA, norepinephrine, and many others., causes unusual neural plasticity or mental dysfunction.

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The lost mass or mass defect that results in the mass of four protons being slightly greater than the mass of a helium nucleus is due to the conversion of matter to energy.

The lost mass or the mass defect is the difference in mass that is observed when the mass atoms of elements are compared to the sum of the mass of the constituents of all the particles in the nucleus of the atom.

For example, the mass of four protons is slightly greater than the mass of a helium nucleus that is also composed of four protons.

This loss in mass is known as the mass defect.

The loss in mass or mass defect is a result of the conversion of some of the mass of the particles to energy.

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Only one genuine zero exists, and it is found at x = 1.359. newton's method to approximate the zero(s) of the function

The first three decimal places were repeated in the solution after the fourth iteration. I began by assuming that x = 1 was the answer to the Newton's Method formula.

When I entered 1 for x, I received a zero of 5/3.

I entered 5/3 and repeated the process to get 997/687.

I was able to get 1.36976 by plugging in 997/687 and repeating the process.

I entered 1.36976 and repeated the process to get 1.359454.

I entered 1.359454 and repeated the process to get 1.359304.

There was no need to go any further because we are only interested in accuracy to three decimal places.

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Voltage is proportional to inductance just as, for resistors, it is proportional to resistance. Now, the (independent) voltages for parallel elements are equal (V₁ = V₂) and the currents (which are generally functions of time) add i(t) = i₁(t) + i₂(t)

This leads to the equation,

i = i₁ + i₂ + i₃ = V [(1/R₁) + (1/R₂) + (1/R₃)] for resistors.

We note that this condition on the currents implies

d₁(t)/dt + d₂(t)/dt = d(it)/dt

Thus, although the inductance equation, ε = -L(di/dt) involves the rate of change of current, as opposed to current itself, the conditions that led to the parallel resistor formula also apply to inductors.

Therefore, 1/L(eq) = 1/L₁ + 1/L₂

Therefore to ensure the independence of the voltage values, it is important that the inductors not be too close together. The requirement is that the field of one inductor not to have significant influence (or "coupling") in the next.

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If his near point is a typical 25cm, he must hold the gem that he is inspecting at 4.17cm in front of the magnifying lens that the jeweler is wearing.

It is a convex lens that is used to produce a magnified image of an object. The lens is usually mounted in a frame with a handle or wear it like an eyeglasses in front of our eye.

How to calculate, how close can he hold a gem that he is inspecting?
First, let's calculate the focal length of the lens.

f = 1 / P

= 1 / 20D

= 0.05m * ( 10^2 cm / 1m)

= 5cm

Convex lens will create a virtual image of a nearby object. Therefore, the image distance is taken as negative, di = -25cm

The position where the gem can be held is calculated with this formula :

1 / f = 1 / do + 1 / di

1 / do = 1 / f - 1 / di

= (1 / 5cm) - (1 / -25cm)

do = 4.17cm

Therefore, the jeweler needs to hold the gem at 4.17cm.  

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The total kinetic energy of a cylinder is 15 J.

Given that, mass = 5 kg

Radius of the cylinder= 30 cm = 30/100 m = 0.3 m

Speed = 2 m/s

Ut = Uk + Ur

where, Uk - translation kinetic energy

Ur - rotational kinetic energy

I is the moment of inertia of the solid cylinder

⇒ 1/2 mv² + 1/2 Iω²

⇒ 1/2 mv² + 1/2 [1/2 m r² * (v/r)²]

⇒ 1/2* 5 * (2)² + 1/2 [1/2* 5 *(0.3)² * (2/0.3)²]

⇒ 10 + 1/2*1/2*5* (0.3)²* 4 / (0.3)²

⇒ 10 + 5 = 15 J

Thus, the total kinetic energy is 15 J.

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The spring constant of the spring is 6.66 N/m.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

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.

The rotational speed of the 90 g = 0.09 kg mass is: ω = 90 rpm

= 90×2π/60 radian/second.

 = 3π radian/second.

So centripetal force acting on the spring = mω²r

This causes the spring to stretch to a length of 12 cm = 0.12 m.

Hence, spring constant: k = mω²r/0.12 =  0.09×(3π)²×0.10/0.12 N/m = 6.66 N/m.

Hence, the spring constant of the spring is 6.66 N/m.

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a)The time constant of the circuit is  2sec.

b)The maximum charge on the capacitor is 0.18C

c)The charge on the capacitor at one time constant is 0.18×(1-(1/[tex]e^\frac{t}{500}[/tex]).

a)We have resistor resistance 100ohm,capacitor capacitance as 20mf and EMF value as 9V.

We know very well that the time constant of the circuit is defined as the product of Resistance and Capacitance, or in other words

τ=R×C

Therefore,τ=100ohm×20×10⁻³F

            =>τ=2sec.

b)The maximum charge on the capacitor is defined as the product of capacitance and voltage applied by the battery.

In other words, Q=C×E

                      =>Q=20×10⁻³F×9V

                       =>Q= 180×10⁻³C

                        =>Q=0.18C

c)Now,we need to find the charge on the capacitor at one constant time.We know very well that charge on the capacitor at any given time is represented by

q(t)=q₀(1−1 /[tex]e\frac{t}{RC}[/tex])

where q₀ is the maximum charge induced on the capacitor

Therefore, q(t)=0.18×(1-(1/[tex]e^\frac{t}{100.5}[/tex])

=>q(t)=0.18×(1-(1/[tex]e^\frac{t}{500}[/tex])

Hence, a)time constant is 2sec,b)maximum charge is 0.18C and c)charge at one time constant on capacitor is q(t)=0.18×(1-(1/[tex]e^\frac{t}{500}[/tex]).

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Moment of inertia decreases. due to friction effects associated with the tides driven by the Moon.

Conservation of energy Physics. a fundamental regulation of physics and chemistry stating that the whole power of an isolated system is steady despite inner modifications. it's far most normally expressed as electricity can neither be created nor destroyed and is the basis of the first law of thermodynamics.

According to the regulation of conservation of electricity, electricity can not be created or destroyed. it is able to, however, be converted from one shape to some other. whilst all kinds of strength are considered, the full strength of an isolated gadget stays consistent.

The longer we pass without making enormous adjustments, the greater the risk of world warming and climate exchange come to be in our everyday lives. whilst we burn fossil fuels, they devise an awesome amount of greenhouse gas emissions.

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No state of matter is required for energy transfer to occur when radiant energy is the source.

When radiant energy is the source,  it means we are talking about energy transfer by radiation, so matter is not needed for the energy to be transferred.

An example of this is the Sun as it heats up the Earth by radiation, even through the vacuum of outer space, where there is almost no matter.

Radiant energy is used for radiant heating that can be generated electrically by infrared lamps, or can be absorbed from sunlight and is used to heat water.

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The minimum coefficient of friction between the tires and the road that the car could have and still make the turn is 0.7 for dry roads and 0.4 for wet roads.

The value of minimum coefficient of friction is usually between 0 and 1 but can be greater than one. A value of zero means there is no friction between the objects such is possible with a lubricant material . All objects, should have friction between them when they come in contact with each other.

The coefficient of friction is as low as 0.05 between dry sliding surfaces will be achieved when the mechanical interconnections are removed. This outcome has been attained based on a theoretical model of an ideal surface for low friction.

The coefficient of friction having value 1 is a perfect positive correlation. A coefficient of correlation zero means there is no linear relationship. Correlation coefficients are used in science to assess the degree of association between two variables, factors, or data sets.

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Two metres of rope must be raised in order to move the burden every metre.

Explain why two metres of rope should be raised.

Assuming no dissipative forces are at work over the rope.

The effort is used to draw upward on the rope's free end while the load is hung from the pulley block. The effort required is just half the amount of the load because the load is now suspended from two ropes, each of which is bearing half of the weight.

Hence, two metres of rope must be raised in order to move the burden every metre.

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This situation appears in physics problems because of the negative charge, an inward-facing radial electric field is produced.

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In the first second, a slate drops from the roof of a tall building.

Second is the standard unit of time in the International System of Units (SI) (s or sec). In decimal form, one cycle of radiation, or 9,192,631,770 (9.192631770 x 109), is equal to one second. This radiation is produced as the cesium-133 atom moves between two levels.

The symbol for a second, or s, is used to denote SI time. It is described as the fixed numerical value of the cesium frequency, vCs, which is the unaltered ground-state hyperfine transition frequency of the cesium 133 atom. The unit Hz, which is equivalent to s-1, is used to express this frequency. The second is the unit of time measurement.

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The deceleration experienced by the cyclist is -5 m/s. Deceleration is also called negative acceleration.

Deceleration is the term used to describe a decrease in speed as the body moves away from the beginning place. The opposite of acceleration is deceleration.

Given,

Initial velocity (V₁) = 8 m/s

Final velocity (V₂) = 0 m/s (Since the bike was stopped).

Time taken for the velocity drop (t) = 1.6 seconds

We know,

[tex]deceleration=\frac{V_{2}-V_{1} }{t} \\[/tex]

Substituting the values we get,

[tex]deceleration= \frac{0-8}{1.6}[/tex]

[tex]= -5 m/s[/tex]

Hence, the deceleration experienced by the cyclist is -5 m/s.

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The right answer is "-1.5 m/s²"

Answer explanation:

Acceleration = change in velocity / time

= (4 m/s – 7 m/s) / 2 s = -1.5 m/s2.

The acceleration is negative because the bike is slowing down.(decelarating)

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