The angle of the m = 2 bright fringe is 0.062 radians and its distance from the center of the pattern is 0.0444 meters.
The angle of the m = 2 bright fringe in a double-slit experiment can be calculated using the formula:
θ = mλ/d
where θ is the angle of the fringe, m is the order of the fringe, λ is the wavelength of light, and d is the distance between the two slits.
Substituting the given values, we have:
θ = (2)(620 nm)/(40 μm) = 0.062 rad
To find the distance of the m = 2 bright fringe from the center of the pattern, we can use the formula:
y = (mλL)/d
where y is the distance of the fringe from the center, L is the distance between the double-slit and the screen, and all other variables are the same as before.
Substituting the given values, we have:
y = (2)(620 nm)(1.2 m)/(40 μm) = 0.0444 m
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Select each of the following that are recessive alleles represented in the genotype AaBb. Check All That Apply AA BB aa bb
Option (c) and (d) are correct
a and b are the recessive alleles represented in genotype AaBb.
An allele is a different nucleotide sequence that codes for the production of a gene product at the same location on a lengthy DNA molecule.
Recessive Allele : A particular allele that, when present alone, has no effect on the person. The expression of the trait requires the presence of two copies of the allele.
Dominant Allele : A dominant allele is a gene variant that will result in a specific phenotype even when there are other alleles present.
Genotype - The genetic configuration that determines the features that an organism inherits from its parents is known as a genotype.
Phenotype - The term "phenotype" refers to an organism's observable physical characteristics, such as its appearance, growth, and behavior.
Hence (a) & (b) are the recessive alleles represented in the genotype AaBb.
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Which definition of a compression is correct?
Compression is the term for the reduction in volume that stress causes in any object or material. Living systems as well as solids, liquids, and gases may all endure compression. For example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the standard for deep-sea fishes and similar specialized forms is the normal pressure of their environment. In the latter, compression is measured against the system's volume at the standard pressure to which an organism is subjected.
A boy moves down a waterslide from a height of 10 meters. what is his velocity when he hits the water at the bottom of the slide?
The velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
Velocity of the boy at the bottom of the slide
The velocity of the boy when he hits the water at the bottom of the slide is calculated from the principle of conservation of energy.
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
h is height of the boyg is acceleration due to gravityv = √(2 x 9.8 x 10)
v = 14 m/s.
Thus, the velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.
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A car goes around a curve of radius r at a constant speed v. Then it goes around a curve ofradius 2r at speed 2v. What is the centripetal force on the car as it goes around the secondcurve, compared to the first?
The centripetal force on the car as it goes around the second curve is twice that compared to the first.
What is Centripetal force?
It is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation.
The formula of Centripetal force is:
F(c) = (m* v^2) / r
Here,
At the first curve,
The curve of radius = r
The constant speed = v
At the second curve,
The car speed (v')= 2 v
The radius of the curve (r')=2 r
According to the formula of centripetal Force:
As the car goes around the second curve,
F'(c) = m*v'^2 / r'
F'(c) = m* (2*v)^2 / 2r
F'(c) = 2* F
Thus,
The centripetal force on the car as it goes around the second curve is twice that compared to the first.
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(d) A force of 30 N is required to accelerate a skateboard at 1.5 m/s². How much force
would accelerate the same skateboard at 6.0 m/s²?
Answer:
[tex]\huge\boxed{\sf F = 120\ N}[/tex]
Explanation:
Firstly, we need to find the mass of the skateboard.
Using formula:
F = maWhere,
Force = f = 30 NAcceleration = a = 1.5 m/s²30 = m (1.5)
Divide 1.5 to both sides
30/1.5 kg = m
20 kg = m
m = 20 kgNow, finding the force:Using the same formula.
F = maWhere,
mass = m = 20 kgAcceleration = a = 6 m/s²F = (20)(6)
F = 120 N[tex]\rule[225]{225}{2}[/tex]
What combination of ester and bromo-grignard reagent could you use to prepare the following tertiary alcohol?.
Combination to prepare tertiary alcohol:
A Grignard reagent interacts first with an ester to produce a ketone, which then undergoes further reactions to produce tertiary alcohol.
Process to form tertiary alcohol:
Methyl esters react with two moles of a Bromo-Grignard reagent to give tertiary alcohol.A ketone is produced when one mole of Grignard reagent is added to the carbon-oxygen double bond, creating an unstable intermediate. Then, a second mole of the reagent is added to the ketone, resulting in tertiary alcohol with at least two identical groups linked to the hydroxyl-bearing carbon. With acid halides and anhydrides, an identical series of reactions take place.Learn more about Grignard reagent here,
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1. Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of uranium-235 to be a mole of “reactions” (molar mass = 235 grams).
2. Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of uranium-235 to be a mole of “reactions” (molar mass = 235 grams).
200 MeV of energy is the energy released per kilogram of fuel used.
E1/E2=7.61=8 (E1 , E2 are energies)
U is equal to 1 kilogram or 1000 g.
There are 6.02310 23 atoms in one mole, or 235 g, of uranium. Therefore, 6.02310 23 atoms are present in 1000 g of 92/235 U.
It is understood that one atom releases 200 MeV of energy during its fission.
As a result, the energy released from the fission of one kilogram of 92/235 is given by E 2 = 6.02310 23 1000200/235 =5.10610 26 MeV E1/E2=7.61=8
In light of this, the energy released during the fusion of one kilogram of hydrogen is roughly eight times greater than the energy generated during the fission of one kilogram of uranium.
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Answer:
200 MeV of energy is the energy released per kilogram of fuel used.
E1/E2=7.61=8 (E1 , E2 are energies)
U is equal to 1 kilogram or 1000 g.
There are 6.02310 23 atoms in one mole, or 235 g, of uranium. Therefore, 6.02310 23 atoms are present in 1000 g of 92/235 U.
It is understood that one atom releases 200 MeV of energy during its fission.
As a result, the energy released from the fission of one kilogram of 92/235 is given by E 2 = 6.02310 23 1000200/235 =5.10610 26 MeV E1/E2=7.61=8
In light of this, the energy released during the fusion of one kilogram of hydrogen is roughly eight times greater than the energy generated during the fission of one kilogram of uranium.
What is the voltage drop across the 10.0 ohm resistor?
The voltage drop across the 10.0 Ω resistor is c)120V
What is voltage drop in a circuit?A voltage drop is an amount the voltage lowers when crossing a component from the negative side to the positive side in a series circuit. If you positioned a multimeter across a resistor, the voltage drop would be the quantity of voltage you are reading.
Voltage drop is the reduction of electrical potential along the way of a present flowing in an electrical circuit.since, all three resistors 10Ω, 20 Ω, and 30Ω are in series combination this indicates that the voltage drop across each resistor will be the same as the total voltage drop in the circuit because in parallel combination voltage stay identical in the circuit buy current gets divided in each branchhence, the voltage drop across the 10.0 Ω resistor = 120 V
correct answer c) 120 V
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13. Which compound is most reactive?
ethene
ethyne
ethane
Answer:
Ethyne consists of a triple bond that is most easier to be broken as compared to that of ethyne with a double bond and benzene single bonds. Therefore ethyne is most reactive among the given options.
Explanation:
Answer: Ethyne
Explanation:
The Earth's escape speed (the speed you need to get away forever) is about 40,000 kilometers per hour. Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. Based on your understanding of gravity, how will the escape speed from the Moon compare to the escape speed from Earth
The Moon s escape speed will be smaller than Earth's.
What is escape speed:The minimum speed that is required for an object to free itself from the gravitational force exerted by a massive object.
The formula of escape speed is
[tex]v = \sqrt{\frac{2GM}{R} }[/tex]where
v is escape velocity
G is universal gravitational constant
M is mass of the body to be escaped from
r is distance from the center of the mass
we can say that,
Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping.
we know that,
The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second.
since, v ∝ g
The Moon s escape speed will be smaller than Earth's.
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A uniform magnetic field cannot exert a magnetic force on a particle in which of the following circumstances
The particle moves parallel to the field
The particle is at rest.
If the magnetic field is uniform and the magnet dipoles are identical (apart from one being north pole and the other south pole) this two forces cancels out.
What is Uniform magnetic field ?A uniform magnetic field is a magnetic field that has the same magnitude and direction throughout the region under consideration, thus the field lines need to be both parallel and spaced out evenly.
It is represented by an equidistant set of parallel linesAn example of the uniform magnetic field over a wide area is the Earth's magnetic field.Learn more about Uniform magnetic field here:
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As keisha runs the generator, which best describes what should happen to the needle that measures electric current? it will move to a large positive value and stay there. it will move back and forth between 0 and a large positive value. it will move back and forth between a large positive and a large negative value. it will move to a large negative value and stay there.
The diagram shows a simple electric generator. The needle that measures electric current will move back and forth between a largely positive and a large negative value.
What is an electric generator?An electric generator is physically equivalent to an electric motor. but it converts mechanical energy into electrical energy.The electrical field generated is dependent on the inclination of the wire with respect to magnetic field lines, and this inclination changes over time,because of that she will experience a varying electrical field, and thus a varying electric current will be zero.
The maximum positive value will occur when the wire is perpendicular to the magnetic field lines after one-fourth of rotation, and then zero.
Hence option C is correct.
The diagram shows a simple electric generator. The needle that measures electric current will move back and forth between a largely positive and a large negative value.
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Each minute, 73,800 m3 of water passes over a waterfall 96.3 m high. Assuming that 58.0% of the kinetic energy gained by the water in falling is converted to electrical energy by a hydroelectric generator, calculate the power output of the generator. (The density of water is 1000 kg/m3 .)
Given,
V= 73800[tex]m^{3}[/tex]
H= 96.3 m
D= 1000 kg/[tex]m^{3}[/tex]
So, mass m=V*D=73800*1000=738*[tex]10^{5}[/tex] kg
Power= Energy/time= mgH/t = 0.58*(738*[tex]10^{5}[/tex] *9.81*96.3)/60
=6.74*[tex]10^{8}[/tex] W
So the power output is 6.74*[tex]10^{8}[/tex] Watt.
PowerPower in physics is the quantity of energy transported or converted per unit time. The watt, which is equal to one joule per second in the International System of Units, serves as the unit of power. Power is occasionally referred to as activity in earlier writings. Power has relationships with other factors. For instance, the power required to move a ground vehicle is equal to the product of the traction force on the wheels and the velocity of the vehicle. A motor's output power is calculated by multiplying its torque output by the angle of rotation of its output shaft. Similar to this, the power lost by an electrical component in a circuit is a function of both its voltage and current.
Each minute, 73,800 m3 of water passes over a waterfall 96.3 m high. Assuming that 58.0% of the kinetic energy gained by the water in falling is converted to electrical energy by a hydroelectric generator, calculate the power output of the generator. (The density of water is 1000 kg/m3 .)
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A single loop of wire with a radius of 7.5 cm rotates about a diameter in a uniform magnetic field of 1.6 T. To produce a maximum emf of 1.0 V, it should rotate at:
To produce a maximum emf of 1.0 V, the angular speed should rotate at 35.368 rad/s.
What is a uniform magnetic field?A uniform magnetic field is depicted by parallel straight lines that are distributed uniformly. The flux path is the same as the path of a tiny magnet's north-seeking pole. The flux channels are continuous, producing closed loops.
For a single loop of wire with a radius of 7.5 cm that rotates about a diameter in a uniform magnetic field of 1.6T. We need to determine the angular speed of rotation for it to produce a maximum electromotive force (emf) of 1.0 V.
Given that:
The radius = 7.5 cm, to convert it to meters, we will divide it by 100.
= (7.5/100) m
= 0.075 m
The area A of the wire is computed by using the formula:
A = πr²
A = π(0.075)²
A = 0.01767 m²
Imagine a coil with N turns with area A rotating at a constant angular velocity (q) inside a flux density of a (B) of a magnetic field, with its axis parallel to the field.
The maximum e.m.f can be computed by using the formula:
[tex]\mathbf{E_o = BAN \omega}[/tex]
Where;
Magnetic field (B) = 1.6 TMaking the angular speed (ω) the subject of the formula, we have:
[tex]\mathbf{\omega =\dfrac{E}{BNA}}[/tex]
ω = 35.368 rad/s
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Electric forces can be explained using fields that extend through space. We can think of these fields as surrounding any charged object. What is one advantage of thinking about the electric force as a field?
Electric forces can be explained using fields that extend through space. We can think of these fields as surrounding any charged object. The force acting on a charged particle at a spot may be calculated by knowing the electric field there. This is further explained below.
What is one advantage of thinking about the electric force as a field?The electric force is the term used to describe the repulsion or attraction between two charged things. Newton's rules of motion define how a force interacts with a particular body.
In conclusion, Space-spanning fields may be used to explain electric forces. These fields may be thought of as enclosing any charged object. Knowing the electric field at a certain location will allow one to compute the force acting on a charged particle there.
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Answer:
(Choice B, Checked, Correct) A field helps predict how electric forces will affect any charge at any location in the field.
Explanation:
CORRECT (SELECTED)
A field helps predict how electric forces will affect any charge at any location in the field.
Modeling the electric force as a field can help us understand electric forces. For instance, we know that any charge in an electric field will experience an electric force. We don’t need to measure the force on each charge to know its direction.
Would it be more efficient to warm your bed on a cold night with a hot water bottle that contains 1 kg of water at 500 C or with a 1 Kg iron bar at 1000 C.
Warming the bed with water is far more efficient than warming the bed with an iron, the difference is the specific heat capacity of water and iron.
The specific heat capacity of a substance can be defined as the amount of the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).
What is the Specific heat of Water?q = m x C x AT
As the specific heat of water is 4.18 J/g°C and the specific heat of iron is 0.450 J/g°C. Since, the specific heat of water is greater than the specific heat of iron.
Therefore, we can conclude that water is more efficient to warm your bed on a cold night with a hot water bottle that contains 1 kg of water at 50 degrees C.Learn more about Specific heat here:
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A motor has coils with a resistance of 27 and operates from a voltage of 235 V. When the motor is operating at its maximum speed, the back emf is 146 V. (a) Find the current in the coils when the motor is first turned on.
the current in the coil of the motor is 8.70A
The motor coil's resistance is R = 27.
The motor's working voltage is V o = 235 V.
When the motor is running at its top speed, the rear emf is V b =141V.
The initial coil current when the motor is turned on must be calculated.
using the information provided,
I=VoR=(235v/27Ω)=8.70A
The number of turns is the first element that affects the current coil's strength. The current in amperes increases with the number of revolutions. The number of turns in a coil also multiplies the magnetic field. The strength of the current of the coil passing through the conductor is the second crucial element.
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The Effect of the Light Intensity and Light Distances of LED and QTH Curing Devices on the Hardness of Two Light-Cured Nano-Resin Composites
Effective polymerization of the composite resin is essential to obtain long term clinical success and has a great importance obtaining improved mechanical properties.
What is the purpose of Effective polymerization of the composite resin ?The purpose of this study was to measure the effect of the light intensity of LED and QTH curing devices in relation to the light distances, on the hardness (KHN) of two light cure nano-resin composite.
Material and Methods: The top and bottom surfaces of the two nanofill composite specimens were evaluated. Two LED and two QTH light curing devices were used at nine different distances. Light intensity was measured with two radiometers placed at these same distances from the curing tip.Learn more about Light intensity here:
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an engine has capacity of doing 20000j one work per minute.What is the power of the engine
Answer:
[tex]\huge\boxed{\sf P = 333.33 \ Watts}[/tex]
Explanation:
Given data:Work = W = 20,000 Joules
Time = t = 1 minute = 60 seconds
Required:Power = P = ?
Formula:[tex]\displaystyle \boxed{P =\frac{W}{t} }[/tex]
Solution:Substitute the givens in the above formula
[tex]\displaystyle P =\frac{20,000}{60} \\\\P = 333.33 \ Watts\\\\\rule[225]{225}{2}[/tex]
Answer:
333.33watt
Explanation:
power=work/time
where:- time=1mins=60sec
work=20000joules
power=20000/60
=333.33watt
How stars are twinkling in the sky?
Answer:
As light from a star races through our atmosphere, it bounces and bumps through the different layers, bending the light before you see it. Since the hot and cold layers of air keep moving, the bending of the light changes too, which causes the star's appearance to wobble or twinkle.
When recording physical findings, which data are recorded first for all systems?
When recording physical findings, which data are recorded first for all systems: Inspection.
The definition of physical is things that are of nature or of the body. An example of physical is plantlife growing in the ground. An example of physical is someone confined to a wheelchair because of disabilities. physical indicates connected with, pertaining to, the animal or human body as a material organism.
Physical health is defined as the condition of your body, taking into consideration everything from the absence of disease to fitness level.
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with the enterprise of video-gaming technology growing every year, researchers have ercently become interested in the effects of violent video games
Meta-analysis indicates that violent video games increase aggressive thoughts, aggressive affect, and aggressive behavior.
What are the effects of Violent video games ?Children who play violent video games have increased aggressive cognitions, aggressive behavior, psychological arousal as well as antisocial behavior.
Furthermore, exposure to violence in the games leads to desensitization- “a reduction in emotion-related physiological reactivity to real violence”The downside of video games is that the more time children and teens spend playing violent video games the more likely they are to display aggressive behavior.Learn more about Violent video games here:
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What is the formula of the force??
F = ma
☆...hope this helps...☆
_♡_mashi_♡_
Answer:
F = MA
Force (Newtons) = Mass (Kilograms) x Acceleration (m/s^2)
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What tool would be used to find the weight of a ballon that is filled with water is it a. graduated cylinder b. metric ruler c. spring scale d. thermometer
Spring scale or a spring balance is a type of measuring device that is used to measure the weight of the object.
Spring scale can be defined as:
Spring balance is also known as the newton meter, which consists of a spring fixed at one end to a hook. The hook bears the weight of the object and marks on the measuring scale. The weight of the balloon can be measured with the spring scale. The balloon can be tied to the hook of the balance, and the weight it carries is shown on the measuring scale.Thermometer issued to measure the heat, graduated cylinder is used in labs to calculate the volume of a substance in milliliters, and metric ruler issued to measure the length of the object in centimeters.When was the first spring scale made?Richard Slater of Bilston, somewhere near Wolverhampton, invented the first spring scale in Britain around 1770. He founded the George Salter & Co. company with his nephews George and John, which is still a significant manufacturer of balances and scales.Learn more about spring balance in:
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In which direction is the magnetic force acting on the charge? into the screen out of the screen up down
The direction in which the magnetic force is acting on the charge is upwards.
What is Magnetic force?This is the attraction and repulsion which usually occurs during the motion of electrically charged particles.
In the magnetic field, the charge is moving to the left. Therefore the direction the magnetic force is acting on the charge is upwards which is gotten via right hand rule.
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The total amount of energy it takes to heat 2.0 kg of ice from –18oC to 220oC is
Answer:
Approximately [tex]6.5 \times 10^{3}\; {\rm kJ}[/tex] (or equivalently [tex]6.5 \times 10^{6}\; {\rm J}[/tex]) assuming a melting point of [tex]0\; {\rm ^{\circ} C}[/tex] and a boiling point of [tex]100\; {\rm ^{\circ} C}[/tex].
Explanation:
The total amount of energy required is the sum of five parts:
Energy required to heat ice from [tex](-18\; {\rm ^{\circ} C})[/tex] to [tex]0\; {\rm ^{\circ} C}[/tex].Energy required to melt the ice.Energy required to heat water from [tex]0\; {\rm ^{\circ} C}[/tex] to [tex]100\; {\rm ^{\circ} C}[/tex].Energy required to vaporize the water.Energy required to heat steam from [tex]100\; {\rm ^{\circ} C}[/tex] to [tex]220\; {\rm ^{\circ} C}[/tex].The specific heat of ice is [tex]c(\text{ice}) = 2.09 \; {\rm kJ \cdot K^{-1} \cdot kg^{-1}}[/tex]. Energy required to raised the temperature of [tex]m = 2.0\; {\rm kg}[/tex] of ice by [tex]\Delta T = (0 - (- 18)) \; {\rm K} = 18\; {\rm K}[/tex]:
[tex]\begin{aligned}Q &= c(\text{ice}) \, m\, \Delta T \approx 75.24\; {\rm kJ} \end{aligned}[/tex].
The enthalpy of fusion (melting) of water is approximately [tex]\Delta H = 334\; {\rm kJ \cdot kg^{-1}}[/tex]. The energy required to melt [tex]m = 2.0\; {\rm kg}[/tex] of ice would be:
[tex]Q = m\, \Delta H \approx 668\; {\rm kJ}[/tex].
The specific heat of water is [tex]c(\text{water}) =4.18 \; {\rm kJ \cdot K^{-1} \cdot kg^{-1}}[/tex]. Energy required to raised the temperature of [tex]m = 2.0\; {\rm kg}[/tex] of water by [tex]\Delta T = (100 - 0) \; {\rm K} = 100\; {\rm K}[/tex]:
[tex]\begin{aligned}Q &= c(\text{water}) \, m\, \Delta T \approx836\; {\rm kJ} \end{aligned}[/tex].
The enthalpy of vaporization of water is approximately [tex]\Delta H = 2257\; {\rm kJ \cdot kg^{-1}}[/tex]. The energy required to vaporize [tex]m = 2.0\; {\rm kg}[/tex] of water would be:
[tex]Q = m\, \Delta H \approx 4.51 \times 10^{3}\; {\rm kJ}[/tex].
The specific heat of steam is [tex]c(\text{water}) =2.09\; {\rm kJ \cdot K^{-1} \cdot kg^{-1}}[/tex]. Energy required to raised the temperature of [tex]m = 2.0\; {\rm kg}[/tex] of steam by [tex]\Delta T = (220 - 100) \; {\rm K} = 120\; {\rm K}[/tex]:
[tex]\begin{aligned}Q &= c(\text{steam}) \, m\, \Delta T \approx 920\; {\rm kJ} \end{aligned}[/tex].
Hence, the total amount of energy required is approximately [tex]6.5 \times 10^{3}\; {\rm kJ}[/tex].
A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will
The distance between the fringes (y) will decrease.
What is meant by double slit?
In the double-slit experiment, a beam of light is aimed at a barrier with two vertical slits. After the light passes through the slits, the resulting pattern is recorded on a photographic plate. When one slit is covered, a single line of light is displayed, aligned with whichever slit is open.To solve this problem it is necessary to apply the concepts related to double split conditions. The equation describing this effect is given by
dsinθ = mλ
λ = dsinθ /m
λ = wavelength
d= distance between slits
m = Any integer, representing the repetitions of the spectrum
If θ is small, then sinθ = y/L and the previous equation can be given as
λ = dy /mL
L = Length from screen with slits
y = distance between fringes
From this last equation we can realize that if the separation between the openings (d) is increased, the distance between the fringes (y) will decrease.
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iron mining in south africa
Answer:
In 2021, South Africa's production of iron ore amounted to an estimated 61 million metric tons. South Africa is one of the world's largest producers of iron ore. As of 2021, South Africa was the ninth-largest iron ore producing country in the world.Monochromatic light with wavelength 590 nm passes through a single slit 2. 30 ?m wide and 1. 90 m from a screen. Find the distance between the first- and second-order dark fringes on the screen.
The distance between the first and second-order dark fringe is 0.441 m.
Diffraction of a single slit:
When the light wave passes through a single slit of width which is comparable to the wavelength of the light, then the light wave bends at the edges of the slit. This is called diffraction.
Note: It is assumed that the slit is 3*10^(-3) mm wide. 1 nm = 10^(-9) m and 1mm = 10^(-3) m.
The dark fringes are obtained at the position which satisfies the equation,
d*sinθ = mλ
where d is the slit width, λ is the wavelength of the wave, θ is the angle of diffraction and m denotes the order of the dark fringe.
For first order fringe (m=1), the angle of diffraction θ₁ is,
d*sinθ₁ = λ
sinθ₁ =λ/d
Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.
sinθ₁ =(590 nm)/(3*10^(-3) mm)
sinθ₁ =(590*10^(-9))/ (3*10^(-3)*10^(-3) m)
sinθ₁ =0.196
θ₁ =11.03 degree
Similarly, for second-order fringe (m=2), the angle of diffraction θ₂ is,
d*sinθ₂= 2λ
sinθ₂ =2λ/d
Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.
sinθ₂ =(2*590 nm)/(3*10^(-3) mm)
sinθ₂ =(2*590*10^(-9))/ (3*10^(-3)*10^(-3) m)
sinθ₂ =0.393
θ₂ =23.14 degree
From geometry, the positions x₁ and x₂ of the first and second-order dark fringe from the center of the screen are x₁=Dtanθ₁ and x₂= Dtanθ₂ where D is the distance of the screen from the slit. The distance s between the first-order and second-order dark fringe is then given by,
s=D(tanθ₂-tanθ₁)
Substitute D=1.90 m, θ₁=11.03 degree, and θ₂=23.14 degree in this equation and solve it.
s=1.90*(tan(23.14)-tan(11.03))
s=1.90*(0.427-0.195)
s=0.441 m
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Calculate the speed of light in glycerol (n = 1.47). Use the GRASS method, write your solution on paper and insert an image of it below
The velocity of light in glycerol is 2.04 × 10⁸ m/s.
To find the answer, we need to know about the expression of velocity of light in any medium.
What's the expression of the speed of light in any medium?Mathematically, the speed of light in any medium= C/nC = speed of light in vaccum, n = refractive index of the mediumWhat's the speed of light in glycerol having refractive index of 1.47?Speed of light in glycerol= 3×10⁸/1.47 = 2.04 × 10⁸ m/s
Thus, we can conclude that the velocity of light in glycerol is 2.04 × 10⁸ m/s.
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