When light illuminates a diffraction grating with 7000 lines per centimeter, its second order maximum is at 62. 4°. The wavelength of the light is 2.6711 x \(10^{-7\) cm.
To find the wavelength of the light, we can use the formula for the grating equation:
mλ = d sin(θ)
Where:
m is the order of the maximum (in this case, m = 2 for the second-order maximum)
λ is the wavelength of the light
d is the spacing between the lines of the diffraction grating
θ is the angle of maximum (in radians)
Given:
Spacing between the lines of the diffraction grating (d) = 1/7000 cm = 0.000142857 cm
Angle of the second-order maximum (θ) = 62.4
First, we need to convert the angle from degrees to radians:
θ (in radians) = (π/180) * θ = (π/180) * 62.4°
Now we can substitute the values into the grating equation:
2λ = (0.000142857 cm) * sin[(π/180) * 62.4°]
Simplifying the equation:
λ = [(0.000142857 cm) * sin[(π/180) * 62.4°]] / 2
λ = [(0.000142857 cm) * sin[(3.14159/180) * 62.4°]] / 2
λ = [(0.000142857 cm) * sin[1.08934]] / 2
Now, we can use a calculator to evaluate sin[1.08934]:
sin[1.08934] ≈ 0.01872
Substituting this value back into the equation:
λ = [(0.000142857 cm) * 0.01872] / 2
λ ≈ 2.6711 x \(10^{-7\) cm
Therefore, the wavelength of the light is approximately 2.6711 x \(10^{-7\) cm.
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Find the direction of the sum of
these two vectors:
it serves as the fuctional unit of the nervous system
Answer:
i would say the neuron
Which of these is untrue about ray diagrams?
A. The arrowheads show the direction of the light
B. Lines must always be straight
C. More arrowheads on lines mean a brighter light
Answer:
The untrue option is C: "More arrowheads on lines mean a brighter light"
Explanation:
Ray diagrams are used to show how the light behaves with things like mirrors or lenses. Where we only study how the direction of the light changes when it interacts with these objects.
The "light" is represented with arrows, where again, the only thing we care is the direction of the light, so the first statement is true, the arrowheads show the direction of the light, and only that.
The intensity of the light, in this context, has no effect on how light behaves, so there is not a necessity of representing the intensity of the light, thus, more arrowheads on lines do not mean a brighter light. It may only be used to represent changes in direction of the light.
Finally, we know that light travels in straight pats (the pats can be curved in some cases, like with large gravitational fields, but this is not the case of a ray diagram) so the lines that represent the light should always be straight, thus option B is also true.
The untrue option is C: "More arrowheads on lines mean a brighter light"
some people object to the inverted pyramid style, saying it has lost its usefulness for a variety of reasons, including:
Some people object to the inverted pyramid style, saying it has lost its usefulness for a variety of reasons, including- Increased reader sophistication, Lack of drama and Digital media.
The inverted pyramid style, which features the most significant information at the top and the least important at the bottom, is widely used in journalism. However, some individuals object to this style, claiming that it has lost its usefulness for various reasons, including:
Increased reader sophistication: According to some, the pyramid style is unsuitable for a more educated readership. They argue that the inverted pyramid's oversimplification of facts does not meet modern reader expectations.
Lack of drama: Because the inverted pyramid's central event is displayed at the beginning, the story can lose its drama as it unfolds. They also argue that a traditional storytelling approach is better suited for dramatic stories.
Digital media: In recent years, digital media has altered the way news is delivered and consumed. With the advent of click-bait articles and scrollable pages, the inverted pyramid is deemed less effective for digital media platforms. Instead, writers must adapt to the requirements of online audiences and deliver compelling and concise material to grab their attention. Overall, the pyramid-style may still be appropriate for certain articles. However, due to an increasing readership, a focus on storytelling, and changes in digital media, the traditional approach is losing its effectiveness.
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Bumper car A (296 kg) moving +3.74 m/s makes an elastic collision with bumper car B (222 kg) moving +1.85 m/s. What is the velocity of car A after the collision?
I don't know sorry didn't make me want you say you didn't know how I feel about me being that way and that I didn't even want you say I was wrong and you didn't want me to be to have a good time
In 1987, Marisa Canofoglia, of Italy, roller-skated at a record-setting speed of 40.3 km/h. If the magnitude of Canofoglia’s momentum was 660 kg∙m/s, what was her mass?
Answer:
Mass = 58.98 kg
Explanation:
Given the following data;
Velocity = 40.3 km/h to meters per seconds (m/s) = 40.3*1000/3600 = 11.19 m/s
Momentum = 660kgm/s
To find the mass;
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
\( Momentum = mass * velocity \)
Substituting into the equation, we have
660 = mass * 11.19
Mass = 660/11.19
Mass = 58.98 kg
According to the question,
Velocity = 40.4 km/h or 11.19 m/sMomentum = 660 kg.m/sWe know,
→ \(Momentum = Mass\times Velocity\)
or,
→ \(Mass = \frac{Momentum}{Velocity}\)
By substituting the values, we get
\(= \frac{660}{11.19}\)
\(= 58.98 \ kg\)
Thus the above answer is right.
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If a 50 N block experiences a force of kinetic friction of 11 N from surface of a table, then what is the coefficient of kinetic friction between the block and the table?
Answer:
.22
Explanation:
Normal force * coeff kinetic friction = friction force
coeff kinetic friction = friction force / normal force
= 11 N / ( 50 N) =.22
Answer:0.22
Explanation: because it is and I know for sure
Black holes are the final stage of what type of star?
Answer:
the neutron star becomes a black hole
Answer:
neutron stars
Explanation:
not really sure of an explanation, but maybe try looking up for "What type of star ends up as a blackhole?" should help
On a horizontal frictionless surface a mass M is attached to two light elastic strings both having length l and both made of the same material. The mass is displaced by a small displacement Δy such that equal tensions T exist in the two strings, as shown in the figure. The mass is released and begins to oscillate back and forth. Assume that the displacement is small enough so that the tensions do not change appreciably. (a) Show that the restoring force on the mass can be given by F = -(2T∆y)/l (for small angles) (b) Derive an expression for the frequency of oscillation.
Answer:
(a) By small angle approximation, we have;
F = -2×T×Δy/l
(b) \(The \ frequency \ of \ oscillation, \ f = \dfrac{1}{2\cdot \pi }\cdot\sqrt{\dfrac{2 \cdot T}{l \cdot M} }\)
Explanation:
(a) The diagram shows the mass, M, being restored by two equal tension, T acting on the elastic strings l, such the restoring force, F acts along the path of motion of the mass, with distance Δy
Therefore, the component of the tension T that form part of the restoring force is given as follows;
Let the angle between the line representing the extension of the elastic strings T and the initial position of the string = ∅
Then we have;
String force, \(F_{string}\) = T×sin∅ + T×cos∅ + T×sin∅ - T×cos∅ = 2×T×sin∅
Whereby the angle is small, we have;
sin∅ ≈ tan∅ = Δy/l
Which gives;
\(F_{string}\) = 2×T×sin∅ = 2×T×Δy/l (for small angles)
Restoring force F = \(-F_{string}\) = -2×T×Δy/l
F = -2×T×Δy/l
(b) Given that the the tensions do not change appreciably as the mass, M, oscillates from Δy we have;
By Hooke's law, F = -k×x
Whereby Δy corresponds to the maximum displacement of the mass, M from the rest position, which gives;
Which gives;
F = M×a = -k×Δy
a = -k×Δy/M
d²(Δy)/dt² = -k×Δy/M
When we put angular frequency as follows;
ω² = k/M
We get;
d²(Δy)/dt² = -ω²×Δy
Which gives;
Δy(t) = A×cos(ωt + Ф)
The angular frequency is thus, ω = √(k/M)
Period of oscillation = 2·π/ω = 2·π/√(k/M)
The frequency of oscillation, f = 1/T = √(k/M)/(2·π)
Where:
k = 2·T/l, we have;
f = √(k/M)/(2·π) = √(2·T/l)/m)/(2·π)
The frequency of oscillation is given as follows;
\(f = \dfrac{1}{2\cdot \pi }\cdot\sqrt{\dfrac{2 \cdot T}{l \cdot M} }\)
A body at rest or moving with uniform velocity will have acceleration equals
to:
A.
1
B.
0
C.
Negligible
D.
Infinity
Answer:
B:O
Explanation:
As acceleration is the rate of change of velocity with time, if velocity is uniform, there will be no change in it and acceleration will be zero.
Waves move fastest in
low-temperature gases.
low-temperature solids.
high-temperature gases.
high-temperature solids.
steam is accelerated in a steady-flow nozzle from a low velocity to a velocity of 210 m/s at a rate of 3.2 kg/s. if the temperature and pressure of the steam at the nozzle exit are 200 ºc and 600 kpa, what is the exit area of the nozzle?
The exit area of the nozzle is 0.000861 m² which is calculated using ideal gas equation.
What is an ideal gas?
Velocity = 280 m/s
Rate = 2.5 kg/s
Pressure = 2 MPa
Temperature = 400°C
Using equation of Ideal gas
PV= RT
V= RT/P
V= 0.0965 \(m^{3}\)/ kg
Using equation of continuity
(dm/dt) = \(A_{1}\)v/V
\(A_{1}\)= 0.000861 \(m^{2}\).
A theoretical gas known as an ideal gas is made up of several randomly moving point particles with no interparticle interactions. Because it abides by the ideal gas law, a condensed equation of state, and is amenable to statistical mechanics analysis, the ideal gas concept is helpful.
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what is the minimum initial height h of block 1 such that block 2 just makes it to the top of the loop without losing contact with the ramp? express your result in terms of any relevant quantities given in the problem (mb, r, g).
The minimum initial height h of block 1 such that block 2 just makes it to the top of the loop without losing contact with the ramp is given by the expression 2r + R as given below.
It is given that the system of the two blocks is released from rest at a height h above the bottom of the circular loop of radius R. As per the question, the minimum initial height h of block 1 such that block 2 just makes it to the top of the loop without losing contact with the ramp is to be calculated.The system is released from rest, thus the initial velocity of the system is zero. Due to this, the mechanical energy of the system will remain constant throughout its motion.
We can use the conservation of mechanical energy of the system to solve the problem. Conservation of mechanical energy of the system can be given as -mg (2r + R) + ½ mbv² + ½ mav² = -mgR. Where, mg (2r + R) is the gravitational potential energy of the system at point A when the blocks are at the height of h above the bottom of the circular loop of radius R. Here, a and b denote the velocities of the two blocks at point B when block 2 just makes it to the top of the loop without losing contact with the ramp.
The velocity of the blocks when block 2 just makes it to the top of the loop without losing contact with the ramp is zero. Hence, v = 0. The velocity of the block at the top of the loop is also zero. Thus, va = 0.The minimum initial height h of block 1 such that block 2 just makes it to the top of the loop without losing contact with the ramp is given by the expression 2r + R as given below.-mg (2r + R) + ½ mbv² + ½ mav² = -mgRv = 0, va = 0.
Thus, the minimum initial height h of block 1 such that block 2 just makes it to the top of the loop without losing contact with the ramp is given by the expression 2r + R.
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v = Circular motion constant speed
a = Centripetal acceleration
f = Centripetal force
In circular motion with constant speed, the object moves in a circular path at a constant speed, while experiencing centripetal acceleration and centripetal force directed towards the center of the circle.
Using a circular image show the circular motion constant speed, centripetal acceleration, centripetal force?In circular motion with constant speed, the object moves in a circular path at a constant speed. This means that the object covers equal distance in equal time intervals. The velocity of the object is tangential to the circle at every point.
Centripetal acceleration is the acceleration of an object moving in a circular path, directed towards the center of the circle. It is always perpendicular to the velocity of the object and is given by the formula a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.
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Astronomers use the term interstellar matter to refer to
Answer:
Astronomers refer to all the material between stars as interstellar matter; the entire collection of interstellar matter is called the interstellar medium (ISM). Some interstellar material is concentrated into giant clouds, each of which is known as a nebula (plural “nebulae,” Latin for “clouds”).
Explanation:
Astronomers use the term interstellar matter to refer to the material between stars, which is called the interstellar medium (ISM) and includes giant clouds known as nebulae.
Explanation:Astronomers refer to all the material between stars as interstellar matter; the entire collection of interstellar matter is called the interstellar medium (ISM). Some interstellar material is concentrated into giant clouds, each of which is known as a nebula (plural "nebulae," Latin for "clouds"). The best-known nebulae are the ones that we can see glowing or reflecting visible light.
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3. The electric field at a point 27 cm from a charged particle is 105 N
C
toward the particle.
What is the charge on the particle?
The particle has a charge of 2.44 x 10-8 C. when electric field at a point 27 cm from a charged particle is 105 N
What is charge?The electrical properties of particles like electrons and protons are described by charge, a fundamental property of matter. Particles with the same electric charge repel one another while those with the opposite charge attract one another. Electric charge can be positive or negative. The Coulomb (C) is the charge measurement unit, and particles' charges are typically measured in Coulombs.
E is equal to kQ/r₂, where k is the Coulomb constant, r is the distance from the particle to the point where the electric field is being measured, Q is the charge on the particle, and E is the electric field.
The electric field at a distance of 27 cm from the particle is calculated to be 105 N/C in the particle's direction. We now have:
By substituting these values into the equation for the electric field, we obtain: E = 105 N/C r = 27 cm = 0.27 m
105 N/C = (8.99 x 10⁹ N m²/C²) × Q / (0.27 m)²
Solving for Q, we get:
Q = (105 N/C) × (0.27 m)² / (8.99 x 10⁹ N m²/C²)
Q = 2.44 x 10⁻⁸ C
Therefore, the charge on the particle is 2.44 x 10⁻⁸ C.
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How does the Coriolis effect impact the Gulf Stream and the Brazil Current?
Answer: The Coriolis effect results in bending the direction of surface currents to the right in the Northern Hemisphere and left in the Southern Hemisphere. The Coriolis effect causes winds and currents to form the circular patterns. The direction in which they spin depends upon the hemisphere in which they are present.Coriolis Effect is named after the French mathematician and physicist Gaspard-Gustave de Coriolis. It affects the weather patterns of an area, it affects the ocean currents, and it also affects air quality.
Question 2 of 30 The government needs to provide public goods for what reason? A. They are necessary for raising the standard of living. B. Citizens demand government regulation to protect their freedom. C. Private companies cannot profit by providing them. D. The government can reduce taxes by profiting from public goods. SUBMIT
Answer:
Either C or D.
Explanation:
Either one of them.
HELP!!!
7. A block rests on a frictionless table on Earth. After a 20-N horizontal force is applied to the
block, it accelerates at 3.9 m/s^2.Then the block and table are carried to the moon, where the
acceleration due to gravity is 1.62 m/s^2. A horizontal force of 10 N is then applied to the block.
What is the acceleration?
A)2.0 m/s2
B)2.1 m/s2
C)1.8 m/s2
D)2.3 m/s2
E)2.5 m/s2
A light ray transfers from more to less dense medium at certain condition , if we repeat this experiment by increasing the angle of incidence in more dense medium to double its value in the 1st condition so the value of the relative refractive index between the 2 media is
increased to double
decreased to half
still constant
there is no relative refractive index between more and less dense medium
Answer:
The correct option is;
Still constant
Explanation:
The relative refractive index ₁n₂ between the two medium can be as follows;
\(_1n_2 = \dfrac{The \ speed \ of \ light \ in \ medium \ 1}{The \ speed \ of \ light \ in \ medium \ 2} = \dfrac{c_1}{c_2}\)
Therefore, given that the speed of light in medium 1 is constant and the speed of light on medium 2 is also constant, the relative refractive index ₁n₂ = c₁/c₂ is always constant.
13. Which one of the colors has the longest wavelength A, Red B. Yellow C. Blue 14. The sky appears blue due to A. Diffraction of light C. Refraction of light B. Reflection of light D. Scattering of light
13.The color with the longest wavelength is option A. Red.
14.The sky appears blue due to option D. Scattering of light.
Red light has a longer wavelength compared to yellow and blue light.The color that has the longest wavelength is red. The color of the sky appears blue due to scattering of light. The distance between one peak and the next in a series of waves, particularly electromagnetic waves traveling through space or along a wire is referred to as wavelength.
The wavelength of light, for example, determines its color. Red light has the longest wavelength, followed by orange, yellow, green, blue, and purple, with violet light having the shortest wavelength. When light is reflected off a surface or passes through a medium, it can be deflected in various directions, a phenomenon known as scattering of light.
The Earth's atmosphere scatters sunlight in all directions, but the shorter blue wavelengths are scattered more than the longer wavelengths. As a result, we perceive the sky as blue during the day. The light becomes scattered when it interacts with particles in the atmosphere, causing the sky to appear blue during the day and red during sunset or sunrise. The scattering of light is the process that causes the sky to appear blue.
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Which vitamin plays a role in the chemical reactions involved in the release of energy from carbohydrates?.
The chemical energy that lead to the release of energy from carbohydrates involve the thiamin vitamin. Water-soluble vitamin B1 known as thiamine is present naturally in several meals.
supplements that are sold and added to food. In order for different cells to grow and operate properly, thiamin vitamin is essential. Since the liver can only hold a little amount, thiamin vitamin-rich foods must be consumed daily. chemical processes that releases energy.
The chemical energy for a carbohydrate is Cm(H2O)n because it is a biomolecule made up of carbon (C), hydrogen (H), and oxygen (O) atoms, often with a hydrogen-oxygen atom ratio of 2:1 (as in water) (where m may or may not be different from n). Is called carbohydrates
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The human jaw muscle is the strongest in the body for its size. Does this mean that the jaw muscle is the also the overall strongest muscle as well? Explain why or why not. (Our unit is on work and power)
The sartorius muscle is the solution. A superficial muscle that runs the full length of the leg, the sartorius is involved in the flexion of the knee and hip.
What is Sartorius muscle?The heart's wall is made up of cardiac muscle, which also causes the heart to contract vigorously. Intestinal, uterine, blood vessel, and internal ocular muscles are all made of smooth muscles.
The epidermis and some skeletal muscles are linked to the bones (muscles in our face). The skeletal muscles' contraction aids in the movement of the limbs and other bodily parts.
Although some estimates go as high as 840, the majority of sources claim that there are over 650 identified skeletal muscles in the human body.
Therefore, The sartorius muscle is the solution. A superficial muscle that runs the full length of the leg, the sartorius is involved in the flexion of the knee and hip.
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Please Help!
In all organisms, cells are the most basic units of structure and function. The structure of an organism is affected by the way its cells are shaped and organized. Many of the functions that an organism needs to carry out to stay alive happen inside its cells. A cell is the smallest unit that can get and use energy, remove waste, and carry out other processes necessary for life.
The micrographs below show cells from two different organisms: an onion plant, which is multicellular, and a diatom, which is unicellular.
Answer:
Essential processes happen in a cell: Onion plant and Diatom
A cell is its basic unit of structure: Onion plant and Diatom
Made up of one cell: Diatom
Made up of many cells: Onion plant
Which of the following objects is composed mostly of wood?
A. Sweater
B. Tile
C. Pencil
D. Brick
❄ Hi there.
a pencil is composed mostly of wood.
Let's check if the other choices are right.
A. Sweaters are not made of wood
B. Tiles are not made of wood
C. Pencils are made of wood
D. Bricks are not made of wood
∴ the right choice is C.
❄
a fragment of bone is discovered during an archaeological dig. the bone contains carbon-14 isotopes of the element carbon. the bone is approximately 23000 years old. calculate what proportion of the carbon-14 isotopes remains. give your answer to the nearest whole fraction. the half life of carbon-14 is 5730 years.
When a fragment of bone containing carbon-14 isotopes of the element carbon is discovered during an archaeological dig, and it is estimated to be approximately 23,000 years old, one can calculate the proportion of the carbon-14 isotopes that remains.
The half-life of carbon-14 is 5,730 years. Carbon-14 has a half-life of 5,730 years, which implies that half of the carbon-14 atoms will decay every 5,730 years. This property of carbon-14 may be used to determine the age of ancient artefacts and fossils. By determining the proportion of carbon-14 remaining in a sample, we may determine how old it is.According to the problem, the bone is around 23,000 years old. We can utilize the following formula to calculate the proportion of carbon-14 isotopes that remain: Proportion remaining = (1/2)^(number of half-lives)We can first calculate the number of half-lives that have occurred since the bone was alive. The number of half-lives is calculated as follows:Number of half-lives = (time elapsed) / (half-life)Number of half-lives = 23,000 / 5,730Number of half-lives = 4.016So the number of half-lives that have occurred since the bone was alive is 4.016. We can now use this number to calculate the proportion of carbon-14 isotopes that remains:Proportion remaining = (1/2)^(4.016)Proportion remaining = 0.105Therefore, the proportion of carbon-14 isotopes that remains is 0.105, or approximately 1/10 (to the nearest whole fraction).For such more question on Proportion
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Select the correct answer.
Scientists in a test lab are testing the hardness of a surface before constructing a building. Calculations indicate that the entire structure would sink by a certain amount for every additional floor that is added. If the maximum permissible limit for depression of the structure is 20 centimeters, how many floors can be safely added to the building?
A.
14
B.
15
C.
18
D.
23
The number of floors that could be safely added to the building is 18 floors. Option C
What is depression?It is obvious that building appears to enter into the ground as time goes on. This is what we mean by the depression of a building. This depression of the building occurs due to natural forces and we know that it is related to the number of floors in the building.
Given that the maximum permissible limit for depression of the structure is 20 centimeters, and we take it that the building depresses by 1 cm for every floor. It the follows that the number of floors that could be safely added to the building is 18 floors. Option C
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If solid iron is dropped in liquid iron, it will most likely
If solid iron is dropped in liquid iron, it will sink to the bottom of the liquid iron due to its higher density. The liquid iron will flow around the solid iron as it sinks and will eventually surround it completely.
The solid iron will start to melt due to the high temperature of the liquid iron, and the molten iron will mix with the liquid iron. The solid iron will continue to sink until it reaches the bottom of the container, where it will settle. The resulting mixture of molten and solid iron will reach thermal equilibrium, where the temperature and density of the mixture will become uniform throughout.
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A fish, a wooden block, an egg, and a rock are placed in a container filled with water. None of the objects are moving.
Which one has the highest density?
A substance's density is a measurement of how heavy it is in relation to its size. If immersed in water, an object will float if its density is lower than that of the water, whereas it will sink if its density is higher.
What is a substance's density?
A substance's density is defined as its mass every unit volume (more specifically, the cubic mass density; sometimes known as specific mass). Although the Roman letter D may also be used, the sign most frequently used for dense is (the misspelling Greek letter rho). The formula for density is mass divided by quantity
Why is a substance's density a valuable property?
Because increasing a substance's mass results in an increase in mass rather than density, density is an intense attribute. A homogeneous object has a density that is equal to its whole mass multiplied by its entire volume at all places.
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How is a projectile different from an object in free fall
Answer:
Explanation:
Projectile Motion. Projectile motion is different than free fall: it involves two dimensions instead of one. ... Balls traveling in two dimensions, only one of which experiences acceleration, require two sets of equations: one set for the x-direction and the other for the y-direction.