The diffraction-induced minimum angular spread is 633 10 9 meters.
What is diffraction-induced propagation?When the hole is illuminated by a parallel ray of light of wavelength lambda, it is believed that the dispersal of the spot (gotten on the left wall of the video) equals the sum of its geometrical dispersal and the spread induced by diffraction.
Diffraction is the term used to describe the spreading out of waves when they pass through an apertures or around objects. It occurs when the aperture's or obstruction's size and the incident wave's wavelength are of same magnitude. At very small aperture diameters, the most of the wave is blocked.
Briefing : Minimum angular spread due to diffraction (θ) = λ/b
Given.
Wavelength = 633nm = 633×10⁻⁹m
Beam diameter is 1mm.
Minimum angular spread due to diffraction (θ) = 633×10⁻⁹m/1
Minimum angular spread due to diffraction (θ) = 633×10⁻⁹m.
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of space limitations, the tubes should not exceed 6 ft in length. determine the configuration of a heat exchanger to accomplish these needs. the average film condensation heat transfer coefficient on the outside of the tube can be assumed to have a value of 8000 w/m2 k.
Precisely, water has to absorb 4,184 Joules of heat for the temperature of one kilogram of water to increase 1°C. Conduction equations can be used to model heat transfer between a fluid and a solid wall.
The linear temperature profile of a stationary layer of liquid clinging to the wall is considered to be the sole cause of the temperature differential between the fluid and the wall. Heat is transmitted between hot and cold fluids through a solid wall in a heat exchanger. Process streams or separate sources of heat, like fluids or sources of refrigeration, may be the fluids. Corrosion, deposits of reaction products, or organic growths can all eventually decrease heat transfer. Fouling resistances provide a quantitative explanation for these phenomena. combining various film coefficients to create an overall heat transfer coefficient.
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13. adding additional bulbs to a series circuit: a. increases the resistance of the entire circuit. b. decreases the resistance of the entire circuit. c. decreases the power output of the entire circuit. d. increases the flow of current in each bulb.
Adding additional bulbs to a series circuit increases the resistance of the entire circuit.
The correct option is A.
What are series circuits?An easy circuit that enables electrons to move between a or more resistors is called a series circuit. A resistor is anything that consumes energy from a cell (battery). The resistor in a circuit is typically a light bulb. A series circuit offers exactly one route for electric current to go between any two places. These networks have the benefit of making each constituent very reliant on other components.
How does a series circuit operate?In a series circuit, the amount of voltage is the total of the single value drops across each component, and also the current flowing through each component is the same.
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if the moon were five times more distant from earth than it is now, how would the gravitational force that earth feels from the moon be different?
If the moon were five times more distant from earth than it is now, the gravitational force would decrease.
How are distance and gravitational forces related?
Inversely related to the square of the distance between the two objects is the gravitational force, which is directly proportional to the masses of the two objects.
In other words, as objects get heavier, their gravitational pull is stronger; however, as objects get farther apart, their pull is weaker.
Gravity's pulling power weakens as a pair of objects are separated by more space.
As one gets farther away from a planet, the gravitational field weakens.
Distances measured from the Earth's centre have a clear inverse square relationship with the dilution of gravity that occurs as you move away from the planet's surface.
For, masses, M₁ and M₂, the gravitational constant G, and the increasing distance R ,the gravitational force F is given by, F = G[(M₁*M₂)/R²]
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When a metal car is struck by lightning, the resulting electric field inside the car is.
When a metal car is struck by lightning, the resulting electric field inside the car is zero.
Electric field is defined as the electric force per unit charge. The direction of the field is taken to be the direction of the force it would exert on a positive test charge.The reason a person in a car does not get hit by a lightning strike is because the roof and walls of the car present a path of less resistance than the interior of the car.It is safe to sit under a car rather than to stand under a tree during lightning. The electric field inside the car is zero.Cars are safe from lightning because of the metal cage surrounding the people inside the vehicle.To know more about charges visit:
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Two identical pitchers contain orange juice from concentrate. in one pitcher, the ratio of cups of concentrate to cups of water is 1 : 2. in the other pitcher, the ratio of cups of concentrate to cups of water is 2 : 3. both pitchers are poured into one large container, and all the juice is mixed together. what fraction of the juice in the large container is made up of concentrate?
Fraction of the juice in the large container is made up of concentrate is 11/10.
Let the two identical pitchers be A.
Let concentration of orange juice and water be x and y respectively.
Then according to question,
A=1/3x + 2/3y (1st pitcher)
A=2/5x + 3/5y (2nd pitcher)
From these two equations we get x=y.
i.e. A=1/3x+2/3x
⇒A=x=y
So total concentration of orange juice is: 1/3x + 2/5x=11/5x=11/5A
Now total concentration of pitchers=A+A=2A
i.e. Required ratio = (11/5A)/2A = 11/10
Therefore Fraction of the juice in the large container is made up of concentrate is 11/10.
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A ceiling fan has 18-inch blades and turn at a rate of 45 revolutions per minute (rpm). What is the linear speed of the blades in feet per hour?.
If a ceiling fan's 18-inch blades rotate at a rate of 45 revolutions per minute, its linear speed in feet per hour would be 5400 rad per hour.
How can you determine linear speed?Thus, the angular speed times the distance r gives the linear speed of a point on the object. The units of measurement are meters per second and meters per second. where = speed in radians/sec
What are linear speed and angular speed?The pace at which the object rotates is its angular speed, which is measured in rotations per minute, degrees per minute, radians per hour, etc. The linear speed is the rate at which a point on the edge of an object moves in a circle around the item's center.
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an evil doer has stolen the unstable atomic nuclear mass (17.0 x 10 -27 kg) from the unstable nuclear mass facility. while waiting at a stop light the unthinkable happens (actually quite expected and predictable up to a probability) and the mass disintegrates into three particles. one of the particles, of mass 5.00 x 10 -27 kg, moves in the y-direction with a speed of 6.00 x 10 6 m/s. another particle, of mass 8.40 x 10 -27 kg, moves in the x-direction with a speed of 4.00 x 10 6 m/s.
(a) Find the magnitude and direction of the velocity of the third particle.
(b) If the evil doer had been driving with a speed of 30 m/s when the disintegration occurred, how would this have changed your answer to part (a)? Use an Order of Magnitude sense-making argument to help with this analysis.
Momentum's conservation:
m1 v1 + m2 v2 + m3 v3 = 0 (vectors)
X axis : m2 v2 + m3 v3x = 0
v3x = - m2 v2/m3
Y axis : m1 v1 + m3 v3y = 0
v3y = - m1 v1/m3
m3 = m - (m1 + m2) = 1.92*10^-26 - (5.02 + 8.5)*10^-27 = 5.68*10^-27 kg
So :
v3x = - 5.98*10^6 m/s ;
v3y = - 5.30*10^6 m/s
(a) The vector v3 = - (5.98 i + 5.30 j)*10^6 m/s
(b) The total kinetic energy is:
Ek = (1/2)(m1 v1^2 + m2 v2^ + m3 v3^2)
Ek = 3.40 * 10^13 J
Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.
The primary unit or the S.I. unit of velocity is m/s or ms?¹.
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Which state of equilibrium is a person in while running on a treadmill?
Answer: Dynamic equilibrium.
Explanation: When a person is running on a treadmill, they are in a state of dynamic equilibrium. Dynamic equilibrium occurs when a system is in constant motion and the forces acting on the system are balanced. In this case, the person is in motion (running on the treadmill) and the forces acting on them (gravity and the force of the treadmill belt) are balanced, allowing them to maintain their motion at a constant speed.
(a) calculate the tension in a vertical strand of spider web if a spider of mass 8.00 × 10−5 kg hangs motionless on it. (b) calculate the tension in a horizontal strand of spider web if the same spider sits motionless in the middle of it. the strand sags at an angle of 12° below the horizontal.
The lateral string has a tension of 1.89*10⁻³N, the vertical string has a tension of 7.84 * 10⁻⁴ N, and indeed the ratio of both strings is 2.41.
What is the physics of tension?The force produced that whenever a load is placed at a few of the ends of a fabric in a direction away from the material's cross-section is known as the tension force. It's common to describe a strain as a "grabbing" force.
Briefing:(a). The net force acting on the strand is T =mg
Here,
T = Tension in the strand
m = mass of the spider
g = acceleration due to gravity
Substitute 8.00×10⁻⁵ kg for m and 9.8m/s² for g in equation.
T = mg
T = 8.00×10⁻⁵ * 9.8m/s²
T = 7.84 * 10⁻⁴ N
Hence, the tension in the vertical strand is 7.84 * 10⁻⁴ N
(b). The net force in the vertical direction is-
2Tsin∅ = mg
Here, g seems to be the acceleration caused by gravity, r is really the stiffness with in strand, m is the spider's mass, and ∅ is the angle the strand is making.
Substitute 8.00×10⁻⁵ kg for m, 9.8m/s² for g and 12º for ∅ in equation.
2Tsin∅ = mg
2T (sin12º) = 8.00×10⁻⁵ kg * 9.8m/s²
T = 8.00×10⁻⁵ * 9.8/ 2sin12º
T = 1.89*10⁻³N
Hence, the tension in the horizontal string is 1.89*10⁻³N.
The ratio of vertical and horizontal string is,
= 1.89*10⁻³N/7.84 * 10⁻⁴ N
= 2.41
Hence, the ratio of vertical and horizontal string is 2.41
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The complete question is-
(a) Calculate the tension in a vertical strand of spider web if a spider of mass 8.00×10⁻⁵ kg hangs motionless on it. (b) Calculate the tension in a horizontal strand of spider web if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.17. The strand sags at an angle of 12º below the horizontal. Compare this with the tension in the vertical strand (find their ratio).
explain why lasers can be used to perform surgery and cut through metal while incandescent light cannot.
The phrase LASER is an acronym of mild Amplification by way of stimulated Emission of Radiation. it's miles a device to provide a sturdy, monochromatic, collimated and tremendously coherent beam of mild. it really works in the phenomenon of 'stimulated emission'.
Laser light is exceptionally monochromatic.
Laser resurfacing can lessen the advent of high-quality lines inside the face. it may also treat loss of skin tone and improve your complexion. Laser resurfacing cannot cast off immoderate or sagging pores and skin.
(ii) Laser light is fairly coherent.
since the emission of all photons are in section, the laser beam is coherent.
(iii) Laser mild is relatively extreme
The depth of laser beam may be very high due to the fact all the photons within the beam are coherent.
(iv) Laser light is highly directional.
A laser beam is fantastically directional. mild from other assets can be made parallel beam by using a lens or a reflect,but the beam divergance is an awful lot more than that for laser light.
Those properties of laser mild enables it for use in surgical treatment and cut via metals.
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an iron bar magnet having a coercivity of 4000 a/m is to be demagnetized. if the bar is inserted within a cylindrical wire coil 0.15 m long and having 100 turns, what electric current is required to generate the necessary magnetic field?
The electric current necessary for generate the magnetic field by a cylindrical coil of 100 turns is 6 A.
Coercivity of magnet = H = 4000 a/m
Length of cylindrical coil = L = 0.15 m
Number of turns in the coil = N = 100 N
Electric current of the coil required to generate magnetic field= I =
= I = (HX L) / N
= I = ( 4000 x 0.15 ) / 100
= I = 600 / 100
= I = 6 A
The current required for the coil of length 0.15 m with 100 turns and coercivity of 4000 a/m to generate magnetic field is 6 amperes.
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a fireman of mass 80 kg slides down a pole. for the steps and strategies involved in solving a similar problem, you may view a video tutor solution. part a when he reaches the bottom, 4.2 m below his starting point, his speed is 2.2 m/s . by how much has thermal energy increased during his slide? express your answer in joules.
Answer: The thermal energy increased during his slide is 3099 J.
Reason:
When the Fireman slides down this initial gravitational potential energy is converted into kinetic energy If we release the mass, gravitational force will do an amount of work equal to mgh on it, thereby increasing its kinetic energy by that same amount.
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he amplitude of a lightly damped harmonic oscillator decreases by 3.0% during each cycle.show answer no attempt what percentage of the mechanical energy of the oscillator is lost in each cycle?
The percentage of mechanical energy of the oscillator lost in each cycle is 5.91 %.
The formula for mechanical energy in an oscillator is given by
E = 1/2 kA²
It is the sum of elastic potential energy and kinetic energy.
Amplitude is nothing but the maximum displacement moved by a point on vibrating body.
It is given that the amplitude A decreases by 3%, then
(E₂ - E₁) / E₁ = [1/2 k (A₂²- A₁²)] /(1/2 k A₁²) = (A₂²- A₁²)/ A₁² = (97² - 100²)/ 100²
⇒ 5.91% of the mechanical energy is lost in each cycle.
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how much work w is done by a pump in raising 5 m3 of water 20 m and forcing it into a main at a gauge pressure of 150 kpa?
The amount of labor required by a pump to raise 5 m3 of water 20 meters and force it into the main at such a pressure head of 150 kpa is 1.73×10⁶ J.
What is the straightforward meaning of work?Force applied across a distance is called work. Example of effort include dragging down a trapped helium balloon, driving down a hill, and lifting an item against the gravitational attraction of the Earth. Energy manifests mechanically as work. The joule (J), and coulomb (N m), is the accepted work unit.
Briefing:W= (Effort to raise water) + ( Work to push it in )
= mgh+PΔV
W = (5.00 m³)(1000 kg/m³)(9.81 m/s²)(20.0 m)+(1.50×10⁵ N/m²)(5.00 m³)
=1.73×10⁶ J.
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A 1270 kg sedan has the same amount of momentum as a 3600 kg truck moving with a speed of 14 m/s what is the speed of the sedan
The speed of sedan is 39.68m/s.
What is momentum?By dividing a particle's mass by its speed, momentum is produced. Momentum is a vector quantity because it has both a direction and a magnitude. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. the laws of motion established by Newton.
Momentum = mass × velocity
Momentum of the truck = 3600 × 14
Momentum of the truck = momentum of sedan
3600 × 14 = 1270 × speed
Speed of sedan = 3600 × 14/1270
Speed of sedan = 39.68m/s.
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a bicycle wheel with radius 0.3 m rotates from rest to 3.1 rev/s in 5.7 s. what is the magnitude (in m/s2) of the total acceleration vector at the edge of the wheel at 1.2 s?
The magnitude of the total acceleration vector at the edge of the wheel at 1.2 s is 5.22 m/s².
Given that,
Radius of the wheel = 0.3 m
Initial angular velocity ω₀ = 0
It rotates 3.1 rev/s in 5.7s. Therefore, ω = 2*π*r = 2*π* 3.1 = 19.47 rad/s
We know that, ω = ω₀ + αt
where, α = angular acceleration
ω = Final angular velocity
t = time
α = 19.47/5.7 = 3.42 rad/s²
Total acceleration at any point will be a vector sum of tangential acceleration and centripetal acceleration
ω = ω₀ + αt
ω = 0 + 3.42* 1.2 = 4.11 rad/s
αc = ω² * r = 4.11² * 0.3 = 5.07 m/s²
Tangential acceleration αt = α * r
αt = 4.11 * 0.3 = 1.23 m/s²
α net = √(5.07² + 1.23²) = √(25.7049 + 1.5129) = 5.22 m/s²
Thus, the magnitude of total acceleration vector at the edge of the wheel is 5.22 m/s².
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Purple colored pattern results when Ninhydrin binds with.....................................within fingerprint residue which allows for fingerprint ................................ .
enzymes, development
sweat, removal
amino acids, removal
water, development
amino acids, development
oils, development
enzymes, removal
salts, development
Purple colored pattern results when Ninhydrin binds with amino acid within fingerprint residue which allows for fingerprint development. 5th option.
How does Ninhydrin affect fingerprints?Ninhydrin reacts with the amino acid in the fingerprint deposit to produce a dark-purple product (eccrine secretion). Amino acid helps for the development of fingerprints on paper. It turns dark purple when deposited on paper.
Ninhydrin is a chemical reagent and is most widely used for fingermarks detection on porous surfaces like cardboard and paper. The purple product is often referred to as Ruhemann's purple. It was used in early times for criminology.
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Two charged particles repel each other with a force f. If the charge on only one of the particles is doubled and the distance between them is also doubled, then the force will be?.
The square of the distance between the two charges has an inverse relationship with the force's size. As a result, when the gap between two charges is doubled, the attraction or repulsion weakens and drops to one-fourth of its initial strength.
What is force?An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull.
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 application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. Newton is the SI unit of force (N).
What are repulsion force?The interaction between two or more comparable or similar charges to produce force. Repulsion between similar charges occurs. Charges that resemble one another separate from one another. Chemical bonding involves repulsive forces.
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if your mass is 60 kilograms on earth, what would your mass be on the moon? if your mass is 60 kilograms on earth, what would your mass be on the moon? 10 pounds 60 kilograms 60 pounds 10 kilograms 360 kilograms
Your mass would be the same on the moon as it is on Earth, which is 60 kg. Despite the moon and Earth having different gravitational fields, mass is a constant indicator of the quantity of matter present.
This suggests that option b) is the proper one.
What is the gravitational difference between the moon and the earth?
The moon won't draw things toward itself with the same force as the Earth since it has a lot less mass than the latter. In other words, even if your mass stays the same, you would weigh less if you traveled to the moon!
The average gravity at Earth's surface is 9.8 meters per second. For example, when something is thrown over the top of a building or the edge of a cliff, it falls at a speed of 9.8 meters per second each second. The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second.
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I understand that the question you are looking for is:
If your mass is 60 kilograms on earth, what would your mass be on the moon?
a) 10 pounds
b) 60 kilograms
c)60 pounds
d)10 kilograms
e)360 kilograms
Oil is spilled from an oil rig in the Gulf of Mexico andspreads in a circle with the circumference changing at a rate of 40m/sec. How fast is the area of the spill increasing when thecircumference of the circle is 100Ï€ meters?
The area of the spill increasing when the circumference of the circle is 100π meters at a rate of 2000 sq. m/sec.
What is circumference ?In geometry, the perimeter of a circle or ellipse is its circumference. In other words, the circumference would equal the length of the arc if the circle were expanded up and straightened out to a line segment.
The term "perimeter" is most frequently used to describe the radius of any closed shape. The exact location of the circle, which corresponds to the edge of a disc, is also referred to as its circumference.
Given parameters:
circumference changing at a rate = 2π dr = 40m/sec.
the circumference of the circle is = 2πr = 100π meters
Hence, the rate of area of the spill increasing = 2πrdr
= 100π meters × 40m/sec/2π
= 2000 sq. m/sec.
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if it takes 4.0 n to stretch a spring 6.0 cm and if the spring is then cut in half, what force does it take to stretch one of the halves 3.0 cm?
If it takes 4.0 N to stretch a spring 6.0 cm and if the spring is then cut in half, then force it takes to stretch one of the halves 3.0 cm is also 4N.
What happens when a spring is stretched?When a spring is stretched, its length changes by an amount x from its equilibrium length, and it exerts a force F = -k x in a direction towards its equilibrium position.
Given, F= 4 N
x= 6 cm
As we know that, F= k x
4= k * 6
k = 4/6
when , x = 3 cm, K become 2 times= 2 x
Now, Force= 2* 4/6 * 3
Force to stretch= 4 N
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buildings
do not absorb much heat.
can affect the surface albedo.
have a net cooling effect on urban environments.
have a net effect of cooler evenings in urban environments.
can affect the surface albedo.
Buildings can affect the surface albedo.
The surface is the outermost or uppermost layer of a physical item or area. it is the element or place of the object which could first be perceived by an observer through the usage of the senses of sight and contact and is the component with which other materials first engage.
A surface is the outermost layer of any physical object. it is the part of the object that may be perceived by an observer using their experience of sight and touch and is the portion with which surrounding substances first engage.
The chemical and mechanical residences include chemical composition, grain, hardness, energy, and inhomogeneities.
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the velocity of an object is given v(t), and the acceleration is given by a(t). what is the relationship between the total
The rate at which velocity changes is called acceleration. (Attensity exists when velocity varies.) If a moving object changes speed.
Why does time accelerate the rate at which velocity changes?A motion's acceleration is the rate at which it changes from one velocity to another. A velocity's rate of change with respect to time is referred to as its acceleration. The amount and direction of acceleration are both properties of a vector quantity.
A change in velocity is known as what?
A velocity change's acceleration is measured. Acceleration is the measure of how quickly a velocity changes with time. The acceleration measure used in SI is M/s2.
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During the formation of our solar system, the nebular dust began to cool and sections began to condense. Eventually, small grains stuck to one another via an electromagnetic force. As they grew, gravity helped to speed up the building process until planetesimals were formed. This process is called.
The building process until planetesimals were formed. This process is called accretion.
What is accretion?
In physics and astronomy, accretion is indeed the process by which more matter, usually gaseous matter, inside an accretion disc, is gravitationally drawn into a massive object. The majority of astronomical objects, including planets, galaxies, and stars, are created through accretion processes. Otto Schmidt first put forth the idea that Earth and other terrestrial planets created from meteoric material in 1944. William McCrea then advanced the protoplanet theory in 1960, and Michael Woolfson later advanced the capture theory. The modern Laplacian theory was created in 1978 by Andrew Prentice, who revived the original Laplacian ideas regarding planet formation.
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consider an electron and a proton separated by a distance of 1.0×10−10 m. the electric force of attraction is f. the separation is decreased to value 0.5×10−10 m. the electric force between the electron and proton becomes:
The Electric force between electron and proton is 0.25 x 10⁻¹⁰ N.
Even though these forces (electrons repelling one another, electrons being drawn to the nucleus, etc.) exist within an atom, they are in equilibrium in the absence of any other external influences.
If the charges were incompatible, i.e. Two charges will attract one another if there is one positive and one negative.
Consider the two charges to be a proton and an electron that are equally spaced apart. The amount of charge on an electron is equivalent to the charge on a proton.
This means that unless a change occurs, no movement is produced solely by electrostatic force.
[tex]F=-K[X-x][/tex]
F=-0.5 [1.0 -0.5]x 10⁻¹⁰
F=0.25 x 10⁻¹⁰ N
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which statement does not describe fission? a very heavy nucleus splits into several medium-weight nuclei. stable, lightweight nuclei start the process. several neutrons are emitted. a fast neutron starts the process.
The statement that does not describe fission is: Stable, lightweight nuclei start the process.
What is Fission?
A bigger atom undergoes fission when a neutron collides with it, causing it to excite and split into two smaller atoms, also referred to as fission products. This process is also known as Nuclear Fission. Additionally, additional neutrons are emitted, and these can start a chain reaction. Each atom splits, releasing a huge quantity of energy.
Hence, The statement that does not describe fission is: Stable, lightweight nuclei start the process.
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The statement that does not describe fission is: Stable, lightweight nuclei start the process.
What is Fission?
A bigger atom undergoes fission when a neutron collides with it, causing it to excite and split into two smaller atoms, also referred to as fission products. This process is also known as Nuclear Fission. Additionally, additional neutrons are emitted, and these can start a chain reaction. Each atom splits, releasing a huge quantity of energy.
Hence, The statement that does not describe fission is: Stable, lightweight nuclei start the process.
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visible light having a wavelength of 6 × 10−7 m appears orange. compute the frequency and energy of a photon of this light.
Energy of the photon is 3.315×1[tex]0^-^1^9[/tex] J
The frequency of a medium is the number of full vibration cycles that occur in one second.
It travels a distance equal to the length of its wave in one cycle.
Given,
Let's use the following formula
c=λν
λ=6×1[tex]0^-^7[/tex] m, h=6.63×1[tex]0^-^3^4[/tex] J
c=3×1[tex]0^8[/tex] m/s
C represents the speed of light, which has a value of approximately
λ represents the wavelength and the units should be in meters.
v represents the frequency, which should have units of Hz or [tex]s^-^1[/tex]. Hz is hertz or reciprocal seconds.
Now let's rearrange the equation to solve for v:
c=λν
3×1[tex]0^8[/tex] =6×1[tex]0^-^7[/tex]×ν
ν=5×1[tex]0^1^4[/tex]Hz
E=hν
=6.63×1[tex]0^-^3^4[/tex]×5×1[tex]0^1^4[/tex]
=3.315×1[tex]0^-^1^9[/tex] J
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170 students sit in an auditorium listening to a physics lecture. Because they are thinking hard, each is using 125 W of metabolic power, slightly more than they would use at rest. An air conditioner with a COPof 5.0 is being used to keep the room at a constant temperature. What minimum electric power must be used to operate the air conditioner?
The calculated power is P = 3500 W. Power can be defined as the amount of work completed in a given amount of time.
Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.
There are n = 140 students in the auditorium overall.
Each pupil is using a metabolic power of p = 125 W.
To keep the temperature in the auditorium consistent, the air conditioner's coefficient of performance (COP) is listed as 5.
Let P represent the required minimum amount of electric power to operate the air conditioner.The fact that
np = P in COP
P = np/COP
= ( 140 x 125 ) / 5
= 3500 W
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A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. A 95% confidence interval for population mean is determined. If we are to reduce the sample size to 100 (other factors remain unchanged), the 95% confidence interval would:.
The average speed of 121 cars traveling on to an interstate in a random sample was 65 mph. The same values (60.688, 69.312) are used to calculate the 95 percent confidence range for the value of.
What are speed and its measure?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time as well as the basic unit for length are combined to form the High silica content of speed.
What is an example of speed?You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour.
Briefing:
The sample size is n= 121
The sample's average speed is 65 mph.
σ = 22mph
100 should be the new sample size other factors remain unchanged so,
given The sample size is n= 100
σ = 22mph
The 95 % of confidence interval for is calculated as follows:
(65 - 4.312 ,65 +4.312)
(60.688 , 69.312) ≅(61 ,69)
similar to (61.08, 68.92) ≅(61 ,69)
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three hundred milliliters of water is poured into a u-tube that has a cross-sectional area of 1 cm 2. then 120 milliliters of oil, with a density 80% that of water, is poured down one side of the u-tube so that the oil floats on the water. find the difference in height of the liquid surfaces on the two sides of the u-tube.
The difference in height of the liquid surface on two sides of the U-tube is 24 cm.
Oscillating U-tube is a method for calculating fluid densities. It has a measuring scale and a U-shaped glass tube. The principle behind this method is that when pressure is applied to one side of the tube, it causes the liquid to move.
Let h be the difference in the height of the liquid surface and H is the height of the oil. We know that the pressure at all horizontal points in a line is the same.
Therefore, pressure at point A = pressure at point B. Then, equation 1 is [tex](H+h)\rho_wg=H\rho_{\text{oil}}g[/tex]
Here, ρ(w) is the density of water, and ρ(oil) is the density of oil. Then, the density of oil is,
[tex]\begin{aligned}\rho_{\text{oil}}&=80\%\times \rho_w\\&=0.8\rho_w\end{aligned}[/tex]
Substitute the above equation in equation 1.
Then,
[tex]\begin{aligned}(H+h)\rho_{w}g&=H\times0.8\rho_{w}g\\H+h&=0.8\times H\\h&=0.8H-H\\&=-0.2H\end{aligned}[/tex]
The negative sign in the above equation indicates that the oil surface is at a higher height.
Given, the volume of oil is V(oil)=120mL=120×10⁻⁶ m³. Area is A=1 cm² = 10⁻⁴ m². Also, the volume of oil = volume of cylinder = AH
Then,
[tex]\begin{aligned}120\times10^{-6} &=AH\\H&=\mathrm{120\times10^{-2}\;m}\\&=\mathrm{1.2\;m}\\|h|&=0.2\times\mathrm{1.2\;m}\\&=\mathrm{0.24\;m}\\&=\mathrm{24\;cm}\end{aligned}[/tex]
The answer is 24 cm.
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