the first bright fringe of an interference pattern occurs at an angle of 12.5° from the central fringe when a double slit is illuminated by a 449-nm blue laser. what is the spacing of the slits?
_____m
Answers
we can use the equation for the location of the bright fringes in an interference pattern:
y = mλD/d where y is the distance from the central fringe to the mth bright fringe, λ is the wavelength of the light, D is the distance from the slits to the screen, and d is the spacing of the slits. We are given that the first bright fringe occurs at an angle of 12.5° from the central fringe, so we can use trigonometry to find y:tan(12.5°) = y/D y = D tan(12.5°) We also know the wavelength of the light is 449 nm, or 4.49 x 10^-7 m. Plugging in these values and solving for d: y = mλD/d D tan(12.5°) = λd d = λD / tan(12.5°) d = (4.49 x 10^-7 m)(D) / tan(12.5°) We don't know the distance from the slits to the screen, D, but we can assume it's on the order of a few meters. Let's say D = 2 m: d = (4.49 x 10^-7 m)(2 m) / tan(12.5°) d ≈ 1.11 x 10^-6 m So the spacing of the slits is approximately 1.11 μm.
About EquationEquation in science is a mathematical statement that expresses the relationship between two or more quantities. Equations can be used to describe natural phenomena, determine variable values, or solve problems. Equations usually consist of symbols that represent quantities, operators that indicate mathematical operations, and an equal sign (=) that indicates equality.
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Related Questions
If a 10.4 kg block rests on a rough horizontal table with a coefficient of friction =0.15, then what is the resulting force of friction on the block?
Answers
The resulting force of friction on the block is mathematically given as
F=1.56
What is the resulting force of friction on the block?
Question Parameters:
If a 10.4 kg block rests on a rough horizontal table with a coefficient of friction =0.15
Generally, the equation for the Frictioval force is mathematically given as
F=uN
Where
u=coefficient of friction
N=normal force
F=Frictional force
In conclusion, the resulting force of friction on the
F=10.4*0.15
F=1.56
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Sorry if it’s a bit blurry. But thanks for answering if you do!
Answers
I don’t know too much about the earths core but I’m pretty sure it’s energy
The heart rate range for high intensity exercise is ____
to ____
percent
Pls answer quickly
Answers
how was mugabe able to build power and what type of power base
is he
Answers
Mugabe gained power by using political strategies, forming alliances, and exploiting his status as a liberation hero within ZANU-PF.
Robert Mugabe, the former president of Zimbabwe, was able to build power through a combination of political strategies and alliances. One key factor was his involvement in the liberation struggle against white minority rule in Rhodesia (now Zimbabwe).
Mugabe emerged as a prominent figure within the Zimbabwe African National Union (ZANU) party, which later merged with the Zimbabwe African People's Union (ZAPU) to form the Zimbabwe African National Union - Patriotic Front (ZANU-PF). Mugabe's role as a liberation hero and his ability to mobilize support among the majority black population of Zimbabwe gave him a strong power base.
Within ZANU-PF, Mugabe strategically positioned himself and gained influence by forming alliances and outmaneuvering rivals. He rose to become the party's leader and played a key role in negotiating the Lancaster House Agreement in 1979, which paved the way for Zimbabwe's independence in 1980. Mugabe became the country's first prime minister and later transformed the position into an executive presidency, consolidating his authority.
Mugabe maintained power through various means, including controlling key institutions such as the military, intelligence agencies, and the ruling party. He also utilized patronage networks, distributing resources and positions to loyal supporters within the party and government. Mugabe's policies, such as the controversial land reform program, further solidified his power base by appealing to nationalist sentiments and redistributing land from white farmers to black Zimbabweans.
However, Mugabe's consolidation of power was also marked by authoritarianism, human rights abuses, and a declining economy. His grip on power faced challenges over the years, including opposition movements, internal party factions, and economic crises. Ultimately, his rule came to an end in 2017 when he was ousted from power following a military intervention.
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HELP!!
What is the resultant displacement?
A. The product of two vectors.
B. Vector addition.
C. The shortest distance from start to finish.
D. The difference between two vectors.
Answers
Answer:
When displacement vectors are added, the result is a resultant displacement. But any two vectors can be added as long as they are the same vector quantity. If two or more velocity vectors are added, then the result is a resultant velocity. If two or more force vectors are added, then the result is a resultant force.
a significant contribution of kepler to our understanding of the solar system was the
Answers
The correct answer is: B. the discovery that planetary orbits are not circular. A significant contribution of Johannes Kepler to our understanding of the solar system was his discovery that planetary orbits are not circular, but rather elliptical in shape.
This important finding was part of Kepler's three laws of planetary motion, which were based on the observations made by his predecessor, Tycho Brahe. Kepler's First Law states that planets move around the Sun in elliptical orbits, with the Sun at one of the two foci of the ellipse. This deviated from the earlier belief that planetary orbits were perfect circles. Kepler's Second Law, also known as the Law of Equal Areas, explains that a line connecting a planet to the Sun sweeps out equal areas in equal times. This means that planets move faster when they are closer to the Sun and slower when they are farther away. Kepler's Third Law, or the Harmonic Law, establishes a relationship between a planet's distance from the Sun and its orbital period. The square of a planet's orbital period is proportional to the cube of the semi-major axis of its elliptical orbit. These laws have significantly improved our understanding of the solar system and laid the groundwork for the development of modern astronomy and astrophysics.
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complete question:
A significant contribution of Kepler to our understanding of the solar system was:
A. the discovery that Earth orbits the Sun.
B. the discovery that planetary orbits are not circular.
C. the observation of the phases of Venus.
D. the idea of a gravitational force between Earth and the Sun.
What are the prevailing winds from the west toward the east called?
Prevailing Westerlies
Jet Stream
Gulf Stream
La Nina
Answers
Answer:
The Coriolis Effect, in combination with an area of high pressure, causes the prevailing winds—the trade winds—to move from east to west on both sides of the equator across this 60-degree "belt."
Explanation:
if its wrong welp sorry that what i know,
Does the earth emit visible light or heat
Answers
Answer:
Heat
Explanation:
A merry-go-round moves in a circle at a constant speed. Is the merry-go-round accelerating? Explain your answer.
Uniform Circular Motion:
Uniform Circular motion is the motion of a body that moves at constant angular velocity. Some examples of bodies that move at uniform circular motion are the blades of a fan set at a constant setting and the motion of a compact disc while the player is on.
Answers
The merry-go-round is accelerating since it is moving in a circle despite the fact that it is moving at a constant speed. The fact that an object moves in a circle does not always imply that it is moving at a constant speed. When an object moves in a circle, it changes direction, and this alteration of direction implies that the object is accelerating.
Even if the speed remains constant, it is still accelerating because the velocity is changing. This is referred to as centripetal acceleration. Centripetal acceleration is the acceleration caused by a force that pulls an object towards the center of the circle. Centripetal force is required for a body to move in a circle. A merry-go-round moves in a circle at a constant speed. This implies that the speed of the merry-go-round does not vary. However, the direction of motion changes continuously, indicating that the merry-go-round is constantly accelerating. Therefore, the merry-go-round is accelerating despite the fact that it is moving at a constant speed.
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wave traveling at 330 m/sec has a wavelength of 4.3 meters. What is the frequency of this wave?
Answers
Answer:
76.74 Hz
Explanation:
Given:
Wave velocity ( v ) = 330 m / sec
wavelength ( λ ) = 4.3 m
We have to calculate Frequency ( f ):
We know:
v = λ / t [ f = 1 / t ]
v = λ f
= > f = v / λ
Putting values here we get:
= > f = 330 / 4.3 Hz
= > f = 3300 / 43 Hz
= > f = 76.74 Hz
Hence, frequency of sound is 76.74 Hz.
The potential of the electric field produced by point charge at any point (x,y,z) is given by V=3x2+5, where x, y are in metres and V is in volts. The intensity of the electric field at (−2,1,0) is:
A) +17Vm^-1
B) -17m^-1
C) +12 Vm^-1
D) -12 Vm^-1
Answers
V = 3 x 2 + 5 gives the potential of the electric field created by a point charge at any point (x, y, z), where x and y are measured in meters and V is measured in volts. At (2, 1, 0), the electric field has a strength of +12 Vm-1. Here the correct answer is option C.
The electric field E at any point in space is given by the negative gradient of the potential V at that point. That is,
E = -∇V
where ∇ is the gradient operator.
In this case, the potential is given by V = 3x^2 + 5, so the gradient of V is
∇V = ( ∂V/∂x, ∂V/∂y, ∂V/∂z )
= ( 6x, 0, 0 )
Evaluating this at the point (-2, 1, 0) gives
E = (6x, 0, 0)
= (-12, 0, 0)
The magnitude of the electric field intensity is given by
|E| = √(Ex^2 + Ey^2 + Ez^2)
= √((-12)^2 + 0^2 + 0^2)
= 12 Vm^-1
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What do MRI and ultrasound have in common as diagnostic imaging techniques? Check all that apply.
Answers
Answer:
non invasive and tomographic imaging.
Explanation:
MRI and ultrasound have common as diagnostic imaging and techniques are non invasive and tomographic imaging.
non invasive means when there is no break is created in the skin for the treatment where MRI and Ultrasound both uses non invasive technique.
tomographic imaging is imaging of section by penetrating some waves inside the body and get the imaging of the patient body and this type of diagnosis is used in both MRI and Ultrasound.
Choose the equation for acceleration without a change in direction.
O change timel change velocity
O change speed/change time
change gravity/ change mass
O change distance/change time
Answers
Answer:
change distance /change time
Explanation:
What is the ratio of surface area to volume for a sphere with the following measurements?
surface are=432m^2
volume=864m^3
Answers
Answer:
S:V = 1 : 2
Explanation:
Given the following data;
Surface area, S = 432 m²
Volume, V = 864 m³
To find the ratio of surface area to volume for a sphere;
The ratio of two or more numbers are determined by reducing the numbers to their nearest minimum i.e dividing all through by the same or common number.
S:V = 432 : 864
Dividing both sides by 432, we have;
S:V = 432/432 : 864/432
S:V = 1 : 2
A 402.89 kg van traveling at 20.54 m/s rear-ends an 704.44 kg compact car going 26.62 m/s. If the two vehicles stick together what will be their new speed?
Answers
Given data
*The given mass of the van is m = 402.89 kg
*The initial speed of the van is u_1 = 20.54 m/s
*The given mass of the compact car is M = 704.44 kg
*The initial speed of the compact car is u_2 = 26.62 m/s
The formula for the new speed of both the vehicles is given by the conservation of momentum as
\(\begin{gathered} p_i=p_{f_{}} \\ mu_1+Mu_2=(m+M)v_{}_{} \\ v=\frac{mu_1+Mu_2}{(m+M)} \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} v=\frac{(402.89\times20.54)+(704.44\times26.62)}{(402.89+704.44)} \\ =24.40\text{ m/s} \end{gathered}\)Hence, the new speed of both the vehicles when they stick together is v = 24.40 m/s
an ink-jet printer steers charged ink drops vertically. each drop of ink has a mass of 10-11 kg, and a charge due to 751896 extra electrons. it goes through two electrodes that gives a vertical acceleration of 104 m/s2. the deflecting electric field is mv/m.
Answers
The deflecting electric field is 0.83mv/m
Acc. to the newtons 2nd law - there is an acceleration when a force acts on an object.
F = ma (equation 1)
where
F is force
m is mass of object
a is acceleration
Electric field intensity- it is defined as force experienced by a unit positive charge placed at that point.
it is denoted by E = F/q
where
F is force
q is the charge
F = Eq (equation2)
from 1 and 2 equation we get
ma = Eq
E = ma /q
Charge on the drop of ink.is q.
(e is the charge on an electron.)
so,
q = 751896×e
q = 751896×1.6 ×⁻¹⁹
q = 12.03 ×10⁻¹⁴
m = 10⁻¹¹kg
a = 10⁴ m/s²
using above values
E = ma /q
E = 10⁻¹¹×10⁴/12.03 ×10⁻¹⁴
E = 0.83mv/m
The deflecting electric field is 0.83mv/m
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The current illustrated in the diagram is directed upward in a straight vertical wire. A compass is placed alongside the wire at the X mark. Which way will the compass point?
- north
- south
- west
- east
The right answer is South. But why? Thank you.
Answers
Answer: South
Explanation:
According to the right-hand thumb rule, if the thumb's direction indicates the current, then the wrapping of fingers gives the direction of the magnetic field.
In the given case, magnetic field lines around the wire are in the form of concentric circles. If the compass is placed at x, then the direction of the magnetic field line will be tangential to the concentric circles, which will point toward the south.
A machine is used to convert heat energy into work energy, and is connected to a cooling system which keeps the machine at a constant temperature. If 2000 kJ of heat energy enter the machine, and the machine performs 700 kJ of work,
how much heat energy must still be removed by the cooling system?
Remember What the law of Conservation of energy says about the total energy before and after a transformation.
Answers
The amount of heat energy that must still be removed by the cooling system is 1300 kJ.
Conservation energyThe total energy before and after a transformation must be equal.
Based on this principle, the heat energy that must still be removed by the cooling system is calculated as follows;
Input heat energy = out put heat energy
E = h + w
2000 kJ = h + 700 kJ
1300 kJ = h
Thus, the amount of heat energy that must still be removed by the cooling system is 1300 kJ.
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intermediate level a 30 micro f capacitor is connected to a 9 v battery calculate the charge on the capicot
Answers
When a 30 micro of capacitor is attached to the a 9 v battery at its intermediate level, the equation states that 2.7μC is the charges on the capacitor.
What is the basic principle of a capacitor?A capacitor operates on the basis that capacitance of the a conductor exhibits rise when a grounding conductor is introduced near it. As a result, the capacitance has parallel plates that are spaced apart from one another and facing in opposing directions.
What is a capacitor used for?Two conductors that are separated from one another and positioned close to one another make up a capacitor, a electrical energy storage device. A parallel-plate capacitor is a simple example with one such storage device.
Briefing:If we rearrange the previous formula to account for C=30F and V=9v in our issue, we can calculate the charge held in the capacitor:
Q=CV
=(30μF) (9v)
=2.7μC
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I need help on number six... I need to use the kinematics formula.
Answers
Given:
Height = 0.8 m
Initial velocity = 7.6 m/s
Given that the ball goes straight up, let's solve for the following.
(a) What will be the ball's velocity when it gets back to its original height.
Since the ball has an initial velocity of 7.6 m/s, the ball's velocity when it gets back to its original height will be the opposite of the initial velocity.
Here, the final velocity will be the same as the initial velocity but in the downward direction.
Therefore, the ball's velocity when it gets back to its original height will be -7.6 m/s
(b) How long will it take the volleyball to get to the top of its path.
To find how long it will take the volleyball to get to the top of its path, apply the formula:
\(v^2_f=v^2_i+2ad\)Where:
vf is the final velocity at its maximum height = 0 m/s
vi is the initial velocity = 7.6 m/s
a is acceleration due to gravity = -9.8 m/s^2
d is the displacement
Let's solve for the displacement.
We have:
\(\begin{gathered} d=\frac{v^2_f-v^2_i}{2a} \\ \\ d=\frac{0^2-7.6^2}{2(-9.8)} \\ \\ d=2.95\text{ m} \end{gathered}\)Now, to find the time it will take, apply the formula:
\(v_f=v_i+at\)Where t is the time.
We have:
\(\begin{gathered} 0=7.6+(-9.8)t \\ \\ t=\frac{-7.6}{-9.8} \\ \\ t=0.78s \end{gathered}\)ANSWER:
(a) -7.6 m/s
(b) 0.78 s
a liquid of density 1457 kg/m3 flows through two horizontal sections of tubing joined end to end. in the first section the cross-sectional area is 4.36 cm2 , the flow speed is 3.4 m/s, and the pressure is 167 kpa . in the second section the cross-sectional area is 2.89 cm2.
Answers
A. Assume incompressible flow
Since volumtric flow rate will be same in both section
Q1 = Q2
A1*V1 = A2*V2
V2 = A1*V1/A2
V2 = 6.9*10^-4*288*10^-2/(3.3*10^-4)
V2 = 6.02 m/sec
B. using bernoulli's equation:
P1/rho + v1^2/2 + g*h1 = P2/rho + v2^2/2 + g*h2
Since pipes are horizontal
h1 = h2
P1/rho + v1^2/2 = P2/rho + v2^2/2
P2 = P1 + (v1^2 - v2^2)*rho/2
P2 = 1.5*10^5 + (2.88^2 - 6.02^2)*1100/2
P2 = 1.35*10^5 Pa
The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.
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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Calculate the number of atoms of zinc, zn, if you begin with 8.35 moles of zinc.
Answers
Taking into account the definition of Avogadro's Number, 5.029×10²⁴ atoms of zinc are in 8.35 moles.
Definition of Avogadro's NumberAvogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.
Number of atoms of zincThen you can apply the following rule of three: If 1 mole of zinc contains 6.023×10²³ atoms, 8.35 moles of zinc contains how many atoms?
amount of atoms of zinc= (6.023×10²³ atoms× 8.35 moles)÷ 1 mole
amount of atoms of zinc= 5.029×10²⁴ atoms
Finally, 5.029×10²⁴ atoms of zinc are in 8.35 moles.
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A sphere with a charge q is fixed at the bottom left corner of the right triangle shown in the figure. Points P and R are at the location shown. A test charge is place at point P, and the charge-sphere system has potential energy U0. If the test charge is then moved to point R, what will the potential energy of the charge-sphere system be?
Answers
Answer:
the final potential energy of this system is 3U0/10
Explanation:
We are given
charge at left end and another test charge at point p
Potential energy is given by = \(\frac{k*Q1*Q2 }{R}\)
where k is electrostatics constant = \(9 *10^9\)
Q1 = first charge , Q2= test charge
R= distance between charges
potential at point p
U0 = k*Q1*Q2 /3 ⇒ kq1q2 = 3U0 ..............1
now the test charge moves to point R
using Pytahgoreou theorem
R(distance) = \(\sqrt{8^2 + 6^2}\) = 10
New Potential energy
U1 = kq1*q2 / 10
substituting kq1q2 = 3U0 from 1
U1 = 3U0/10
So this is the final potential energy of this system.
Tarzan prepares to swing and much to his dismay, gets his loincloth stuck on a branch. He's left hanging with the vine pulling him upwards at a 40-degree angle and his loincloth pulling him horizontally to the right. 1.) Tarzan's mass is 75kg. Calculate his weight. 2.) Use the appropriate equation for for the forces on Tarzan to determine the tension on the vine. 3.) Determine the tension on the vine
Answers
(1) The weight of Tarzan is 735 N.
(2) The equation for the tension on the vine is T = W sinθ.
(3) The tension on the vine is 472.4 N.
What is the weight of Tarzan?
The weight of Tarzan is the downward force of gravity acting on Tarzan due to its weight point downwards.
Mathematically, the formula for the weight of Tarzan is given as;
W = mg
where;
m is the mass of Tarzang is the acceleration due to gravity of EarthThe given parameters include;
the mass of Tarzan = 75 kg
acceleration due to gravity = 9.8 m/s²
W = 75 x 9.8
W = 735 N
The tension on the vine is calculated as follows;
T = W sinθ
where;
θ is the angle of inclinationT = 735 x sin (40)
T = 472.4 N
Thus, the tension in the vine is the vertical component of Tarzan's weight.
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what are the effects on the brain if you use this opioid
Answers
Answer:
Anxiety. Depression. Hypoxia, or lack of oxygen supply. Hyperalgesia, or sensitivity to pain.
Kieran ran 8 laps of the track in 18 minutes. Jevon ran 6 laps of the track. Who had a greater average speed
Answers
Kieran had a greater average speed than Jevon. Let us go into more detail in the explanation below. To compare the average speeds of Kieran and Jevon, we need to find out the speed of each person.
We can use the formula speed = distance/time. Kieran ran 8 laps in 18 minutes, which means he ran 8/18 = 0.44 laps per minute. To find out Kieran's speed, we need to multiply this by the length of one lap. If we assume that the length of one lap is 400 meters, then Kieran's speed is:0.44 laps per minute × 400 meters per lap = 176 meters per minute Jevon ran 6 laps of the track, but we don't know how long it took him.
Therefore, we can't calculate his speed directly. However, we can still compare his speed to Kieran's by using ratios. If we assume that Jevon ran the same length of track as Kieran, then we can write the following equation: Kieran's speed/Jevon's speed = Jevon's time/Kieran's time.
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Myopia is caused when the
(a) eye lens becomes thick
(b) eye lens becomes thin
(c) eye ball becomes shorter then the normal size
(d) none of the above
Answers
Answer: D
Myopia is caused when your eye is too long OR the cornea is too curved, meaning the light that enters your eye wont focus properly. With this information, I would go with D.) none of the above.
Hope this helps!
- Moiselle
Which one of the following temperatures (in °C) is equivalent to 294 K?
A. 21 °C
b. - 312 °C
c. 39 °C
d. 585 °C
Answers
Answer:
21
Explanation: its actually 20.85 but i guess they round to 21
Which region of the ultraviolet spectrum is absorbed least by the atmosphere?
A) UVA
B) UVB
C) UVC
D) All are absorbed equally
Answers
The region of the ultraviolet spectrum absorbed least by the atmosphere is UVC.
UVC radiation, with wavelengths between 100 and 280 nanometers, is mostly absorbed by the Earth's atmosphere, specifically by the ozone layer. This absorption prevents UVC radiation from reaching the Earth's surface in significant amounts. On the other hand, UVA and UVB radiation are partially absorbed by the atmosphere, but they still reach the Earth's surface to varying degrees. UVA has longer wavelengths (315-400 nm) and is less absorbed than UVB, which has shorter wavelengths (280-315 nm). However, it's important to note that excessive exposure to both UVA and UVB radiation can have harmful effects on human health, such as skin damage and an increased risk of skin cancer. Therefore, it's crucial to protect oneself from UV radiation by using sunscreen, wearing protective clothing, and seeking shade when necessary.
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what weight of water is displaced by a floating ship whose mass is 105 kg?
Answers
The weight of water displaced by a floating ship is equal to the weight of the ship itself. Since the mass of the ship is 105 kg, we can use the formula weight = mass x gravity, where gravity is 9.8 m/s². Therefore, the weight of water displaced by the ship is 105 x 9.8 = 1,029 N (newtons).
To determine the weight of water displaced by a floating ship whose mass is 105 kg, we can follow these steps:
1. Convert the mass of the ship to weight. Weight (W) can be calculated using the formula W = m × g, where m is the mass of the object (in this case, 105 kg) and g is the acceleration due to gravity (approximately 9.8 m/s²).
W = 105 kg × 9.8 m/s²
W ≈ 1029 N (Newtons)
2. Apply the Archimedes' principle, which states that the buoyant force (B) acting on a floating object is equal to the weight of the fluid displaced by the object. In this case, the buoyant force is equal to the weight of the water displaced.
3. Since the ship is floating, the buoyant force is equal to the weight of the ship. Thus, the weight of the water displaced is also 1029 N. So, the weight of water displaced by the floating ship with a mass of 105 kg is approximately 1029 N.
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