What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light? Assume that the visible spectrum extends from 380 nm to 750 nm.
Answers
The maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light is given by:
D = sinθ / (m * λ), Where: D is the line density in lines per millimeter θ is the diffraction angle m is the order of diffraction λ is the wavelength of light
The relationship between the number of lines per millimeter and the number of lines per centimeter is given by:
L = 10,000 * D, where L is the line density in lines per centimeter.
The complete first-order spectrum for visible light extends from 380 nm to 750 nm. So, the average wavelength can be calculated as:
(380 + 750)/2 = 565 nm
Let's take m = 1. This is the first-order spectrum. Using the above formula, we can write
D = sinθ / (m * λ)D = sinθ / (1 * 565 * 10^-9)
D = sinθ / 5.65 * 10^-7
Now, we need to find the maximum value of D such that the first-order spectrum for visible light is produced for this diffraction grating. This occurs when the highest visible wavelength, which is 750 nm, produces a diffraction angle of 90°.
Thus, we can write: 750 nm = D * sin90° / (1 * 10^-7)750 * 10^-9 = D * 1 / 10^-7D = 75 lines per millimeter
Thus, the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light is:L = 10,000 * D = 750,000 lines per centimeter.
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Related Questions
Using the data in the image Construct a velocity-time graph using your data. You may use various methods to draw this graph: tangents, use of the kinematics equations to find the velocity at any time since the acceleration is constant, or close analysis of the data tables. Draw the line of best fit. Calculate the slope of the line. What does the slope represent?
Answers
Calculate the average kinetic energy of molecules of a gas at a temperature of 18 ° C
Answers
Answer:
6.0×10⁻²¹ J
Explanation:
KE = 3/2 kT,
where KE is average kinetic energy per molecule,
k is the Boltzmann constant,
and T is absolute temperature.
KE = 3/2 (1.38×10⁻²³ J/K) (18 + 273.15) K
KE = 6.0×10⁻²¹ J
Answer:
The answer is 6.0×10⁻²¹ J , because KE = 3/2 kT, where KE is average kinetic energy per molecule, k is the Boltzmann constant, and T is the absolute temperature.
KE = 3/2 (1.38×10⁻²³ J/K) (18 + 273.15) K
KE = 6.0×10⁻²¹ J
Is the moon in place(in orbit) with Earths gravity or Suns gravity?
Answers
Answer:
well I don't know if this answers your question but the moon moves or orbits around the earth at the same time with the sun from some info I got
the vast majority of human behavior in society is considered prosocial behavior. state of true or false
- True
- False
Answers
Yes it is true ,A broad group of actions with the intention of assisting others includes helping, sharing, providing comfort, contributing or volunteering, and cooperating.
Research on prosocial conduct has looked at the potential causes and effects of these behaviors as well as the various reasons that might be at play. Prosocial Behavior's Type 3. The factors. Actions that "benefit other people or society as a whole," such as assisting, sharing, contributing, cooperating, and volunteering, are considered prosocial conduct, also known as "voluntary behavior intended to benefit another." Evidence demonstrates that prosociality is essential to social groupings' wellbeing on a variety of measures. Empathy has significant evolutionary roots and is a powerful motivator of prosocial action. Children benefit from the development of desirable qualities fostered by prosocial activity.
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A nonlinear spring is compressed horizontally. The spring exerts a force that obeys the equation F(x) = Ax1/2, where x is the distance Ax , where x is the distance from equilibrium that the spring is compressed and A is a constant. The spring is mounted horizontally on a countertop that is 1.3 m high so that its equilibrium position is just at the edge of the countertop. The spring is compressed so that it stores 0.2 J of energy and is then used to launch a ball of mass 0.10 kg horizontally from the countertop. Neglecting friction, determine the horizontal distance d from the edge of the countertop to the point where the hall strikes the floor
Answers
Non-linear springs are helical coil springs that produce erratic amounts of force when they are subjected to a working load or torque.
A linear spring will always move along a straight line with a constant slope. The connection between force and displacement in a nonlinear spring is nonlinear. A nonlinear spring force vs. displacement graph with a variable slope will be more complex than a straight line. A nonlinear spring is stretched a distance A, with its restoring force being given by F=kx3, where x represents the displacement from equilibrium. There is a mass m fastened to its end.
Question
A nonlinear spring is compressed horizontally. The spring exerts a force that obeys the equation F(x) = Ax^1/2, where x is the distance Ax , where x is the distance from equilibrium that the spring is compressed and A is a constant. A physics student records data on the force exerted by the spring as it is compressed and plots the two graphs below, which include the data and the student's best-fit curves.
a. From one or both of the given graphs, determine A. Be sure to show your work and specify the units.
b i. Determine an expression for the work done in compressing the spring a distance x. ii. Explain in a few sentences how you could use one or both of the graphs to estimate a numerical answer to part (b)i for a given value of x.
c. The spring is mounted horizontally on a countertop that is 1.3 m high so that its equilibrium position is just at the edge of the countertop. The spring is compressed so that it stores 0.2 J of energy and is then used to launch a ball of mass 0.10 kg horizontally from the countertop. Neglecting friction, determine the horizontal distance d from the edge of the countertop to the point where the hall strikes the floor
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A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Answers
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
Formulate a hypothesis on how the force between a pair of cars in a
train undergoing constant acceleration compares to the forces
between other cars in the same train.
Answers
The force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.
The hypothesis on how the force between a pair of cars in a train undergoing constant acceleration compares to the forces between other cars in the same train is detailed below.
As the cars in a train undergo constant acceleration, the force between a pair of cars is more significant than the forces between other cars in the same train. This is due to the fact that as the acceleration increases, the force between a pair of cars increases because the car at the back is pushed forward while the car in front is pulling backward, and as a result, there is an increase in the force acting between the two cars.
However, the forces between other cars in the same train are not as significant as the force between a pair of cars because there is no direct contact between them, and hence the force is much less. The greater the acceleration, the greater the force acting between a pair of cars in the train, while the force acting between other cars remains negligible.
Therefore, the force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.
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Which action would help reduce global warming?- Eat less red meat so fewer cattle need to be raised.- Ride a bicycle rather than walk to school.- Clear more forests to produce more farmland.- Use more fertilizers to increase crop production.
Answers
Eating less red meat so fewer cattle need to be raised would help reduce global warming.
What are the precautions to reduce by global warming?The production of red meat, particularly beef, is a major contributor to greenhouse gas emissions. Cattle produce methane, a potent greenhouse gas, and the production of feed for cattle also requires large amounts of energy, water and land. Additionally, the clearing of forests for grazing land and feed production also contributes to carbon emissions.
Riding a bicycle rather than walking to school would also help reduce global warming because it would decrease the amount of CO2 emissions produced by cars and other vehicles.
Clearing more forests to produce more farmland and using more fertilizers to increase crop production would not help to reduce global warming, as the clearing of forests causes a release of stored carbon into the atmosphere and the use of fertilizers and pesticides also has an environmental impact.
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A motorboat heads due west at 15 m/s across a river that flows due south at 7.5 m/s. What is the magnitude and direction of the resultant velocity in m/s? Round off answer to 2 decimal places.
Answers
Answer:
16.77 m/s, 26.57° south of west
Explanation:
The two velocities form a right triangle. Use Pythagorean theorem to find the magnitude of the resultant velocity.
v² = (-15 m/s)² + (-7.5 m/s)²
v = 16.77 m/s
Use trig to find the angle.
tan θ = ((-7.5 m/s) / (-15 m/s))
θ = 26.57° south of west
A lever is acted on at two different points by two different forces which are
a. fulcrum and resistance b. leverage and load c. lever and resistance d. effort and load e. lever and effort
Answers
A lever is acted on at two different points by two different forces effort and load. The correct answer is: D.
A lever is a simple machine that consists of a bar that rotates around a fixed point called a fulcrum. The effort is the force that is applied to the lever, and the load is the force that is resisted by the lever.
The effort and load are applied at two different points on the lever, and the fulcrum is located between these two points.
The effort and load create a torque on the lever, which is the product of the force and the distance from the fulcrum.
The torque produced by the effort must be equal to the torque produced by the load in order for the lever to be in equilibrium.
The effort and load can be applied in different directions, and the fulcrum can be located at different points on the lever.
This allows levers to be used for a variety of tasks, such as lifting heavy objects, prying open cans, and turning screws.
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the direct collision of a raindrop with the ground, laterally shifting fine particles a few millimeters, is
Answers
The direct collision of a raindrop with the ground, laterally shifting fine particles a few millimeters, is primarily attributed to the impact force generated upon contact.
When a raindrop falls from the atmosphere and hits the ground, it transfers its momentum to the particles present on the surface. The impact force is influenced by several factors, including the mass and velocity of the raindrop, the angle at which it strikes the ground, and the properties of the particles (such as size, shape, and cohesion).
Upon impact, the raindrop imparts a force to the particles tangentially, causing them to move laterally. The magnitude and direction of the force depend on the interaction between the raindrop and the particles. It's important to note that this force is typically much stronger than the force generated by the raindrop's weight alone due to the added momentum from its velocity.
The lateral shifting of fine particles a few millimeters occurs due to the collective effect of numerous raindrop impacts over time. As raindrops continue to fall and strike the ground, they dislodge and displace the particles, gradually shifting them laterally.
Additionally, factors like the soil's moisture content, particle cohesion, and surface roughness can influence the extent of lateral shifting. In certain cases, the water from raindrops can cause particles to become more cohesive, leading to clumping and aggregation, which can further affect the lateral movement.
Overall, the lateral shifting of fine particles a few millimeters is a result of the cumulative impact forces exerted by raindrops, combined with the interaction between the raindrop and the properties of the ground surface and particles.
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Frequency of a wave is 20 Hz. It travels with a speed of 5 m/sec. What is wavelength?
Answers
Answer:
omg i uses to know this answer
Explanation:
but I forgot
What is the answer of this crossword. Non-renewable resources found deep in the ground. 1 ____ 2____ 3____ 4 E 5____ 6____ 7____ 8 S
Answers
Answer:
Crude oils
Explanation:
The correct word should be crude oils.
Crude oil is a non-renewable resource that is geologically formed and found deep in the ground. It is a naturally occurring mixture of hydrocarbons and usually fractionated to serve different purposes for the use of man. Crude oils are non-renewable because the rate at which humans exploit them is quite faster than the rate at which they are being naturally replenished deep in the ground.
In Pem Davidson Buck's Derailing Rebellion: Inventing White Privilege:
1. How was race constructed in the early days of colonization?
2. How was white privilege established?
In Domination and Subordination:
1. What does it mean to be in a double bind? Provide an example.
Answers
Answer:among
Explanation:r:among r:among r:among r:among r:among r:among r:among
Which method of popcorn popping transfers heat into the kernels without any direct
contact (nothing hot touched the kernels)? Explain.
Answers
Answer:
It is cause by radiation that's the answer
Explanation: the heat project sun rays towards the popcorn which causes it to pop
A catcher stops a 92 mi/hr (41. 1 m/s) pitch in his glove, bringing it to rest in 0. 15m. If the force exerted by the catcher is 803 n, what is the mass of the ball?.
Answers
If a catcher stops a 92 mph (41. 1 m/s) pitch in his glove and slows it to rest in 0. 15 m with a force of 803 N, the ball's mass is 0.14 kg.
What is the short form of Newton's second law?According to Newton's Second Law of Motion, when a force acts on a mass, acceleration (or gaining speed) occurs (object). A good illustration of this law of motion in action is when you are riding a bicycle. The mass is represented by your bicycle. The force is generated by your leg muscles as they push against the bicycle pedals.
a = (Vf²- Vi²)/2.d
The distance is 0.15 meters, the initial velocity is 92 miles per hour, or 41 m/s, and the final velocity is 0 (rest).
a= -5603 m/s²
use the second Newton law,
F= m.a
m= F/a
m= 803N/5603 m/s²
m= 0.14kg.
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In a physics lab, students take a long piece of string and cut it into two unequal pieces. One piece is used to suspend a large weight. The second piece is tied to the bottom of the weight as seen in the diagram below. Student 1 predicts that the upper string will always break first since it has to support the weight and the applied force, while Student 2 disagrees and predicts that the shorter piece of string will always break first if you pull slowly but with enough force to exceed the strength of the string.
(a) Which aspect(s) of Student 1’s reasoning, if any, are correct? Explain your answer.
(b) Which aspect(s) of Student 2’s reasoning, if any, are correct? Explain your answer.
(c) Which aspect(s) of both Student 1’s and 2’s reasoning, if any, are incorrect? Explain your answer.
(d) The experiment is performed and both students are surprised to learn that whether
the upper or lower string breaks first depends on whether you pull slowly or with a
sudden pull. Resolve the two lines of reasoning of Student 1 and Student 2 by
explaining the results of the experiment in a clear, concise paragraph.
Answers
Answer:
(a) The aspect of the upper string supporting the weight and the applied force
Student 1 is correct because the upper string is the source of support of the large weight and the force applied to the short string reacts at the support of the long string
(b) The aspect of Student's (2) reasoning that is correct is that the shorter piece of string will always break first, however, the statement is only true for sudden pull due to the increased force experienced by the shorter string from a more rapid change in momentum
(c) The aspect of Student 1's statement that is incorrect is the that the upper string will always break first
The aspect of Student 2's statement that is incorrect is the that the shorter piece of string will always break first
(d) A string will break when subject to a force equivalent to its breaking force. The force experienced by the string increases as the rate of pull (suddenness) increases and the suddenness increases inversely with the length of the string, as such the shorter lower string will break first from a sudden pull before the force of the pull is completely transmitted to the upper string. Whereby the lower string is slowly pulled, the force is evenly transmitted to the upper string which is then taking up the load of the weight and the applied force together and is likely to break first
Explanation:
A pendulum makes 50 complete swings in 2 min 40 second . what is time period for 1 complete swing?
Answers
Answer:
3.2 seconds
Explanation:
50 swings = 2 mins 40 secs
= 50 swings = 2 x 60 + 40 secs
= 50 swings = 160 secs
= 1 swing = 160 / 50 secs
= 1 swing -= 3.2 secs
A 5kg object has a speed of 4m/s at point A and 6m/s later at point B. Find the total work done on the object as it moves from point A to B.
Answers
The total work done on the object as it moves from point A to B is 50 joule.
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
The total work done on the object as it moves from point A to B =
1/2× 5 kg × (6m/s)² - 1/2× 5 kg × (4 m/s)²
= 50 joule.
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which of the following most clearly distinguishes asteroids and comets from planets?
Unlike planets, asteroids and comets do not orbit the Sun.
Asteroids and comets are made of different materials than any planets.
Asteroids and comets are only found at much greater distances from the Sun than planets.
Asteroids and comets are much smaller than planets.
Answers
The option that most clearly distinguishes asteroids and comets from planets is that asteroids and comets are much smaller than planets.
The asteroids and comets are significantly different from the planets in the solar system. They are significantly smaller and made of different substances than planets. Asteroids and comets are minor bodies in the solar system, while planets are the central and most substantial bodies in the solar system. These two features set planets apart from asteroids and comets in the following way.
Asteroids are small, rocky bodies that orbit the sun. Comets, on the other hand, are small, icy bodies that orbit the sun. In contrast, planets are large, gaseous, or rocky bodies that orbit the sun and have cleared their orbital paths of all other debris. They are held together by their gravitational force and have atmospheres, although some planets' atmospheres are tenuous.
Therefore, Planets are relatively large, while asteroids and comets are much smaller.
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An object has a kinetic energy of 25 J and a mass of 34 kg, how fast is the object moving?
Answers
An object has a kinetic energy of 50 J and a velocity of 5 m/s, what is the mass of the object?
Answers
Answer: 4 kg
Explanation:
Ke=1/2MV^2
plug in the kinectic energy and solve for M
50=1/2(M) (5^2)
M= 4
A 25.1 kg boy climbs to the top of a 11.08 m tall water slide at an amusement park. He carries a 2.94 kg rubber ball with him. Taking the bottom of the slide to be the zero point, what is the gravitational potential of just the boy in joules? (do not include units)
Answers
Answer:
3080
Explanation:
Potential energy is the energy stored or contained in a body as a result to its relative position to other objects, an example is an object that is placed at a height above the ground thereby experiencing gravitational energy.
Potential energy = mass × gravity × height
Given that: height = 11.08 m, gravity = 9.81 m/s² and mass = mass of boy + mass of ball = 25.1 + 2.94 = 28.34 kg
Potential energy =28.34 × 9.81 × 11.08 = 3080
12. A 56-mm wheel on a skateboard makes 430 revolutions per minute. Find the linear speed of thewheel in meters per second.
Answers
The linear speed of a 56-mm wheel on a skateboard making 430 revolutions per minute is 1.262 m/s.
The circumference of the skateboard wheel can be calculated as follows:
C = πd, diameter of the wheel is d, since the wheel has a diameter of 56 mm, the circumference is,
C = π(56 mm)
C = 176 mm
The angular speed (ω) of the wheel can be calculated as,
ω = 2πn, number of revolutions per second is n. Since the wheel is making 430 revolutions per minute, we can convert this to revolutions per second by dividing by 60,
n = 430/60
n = 7.1667 revolutions per second
Substituting this value into the formula for angular speed, we get,
ω = 2π(7.1667)
ω = 45.065 radians per second
Now we can use the formula for linear speed (v) in terms of angular speed (ω) and radius (r),
v = ωr, radius of the wheel is r. Since the radius of the wheel is half the diameter, or 28 mm, we need to convert this to meters by dividing by 1000,
r = 28/1000
r = 0.028 m
Substituting the values we know into the formula for linear speed, we get,
v = (45.065 rad/s) (0.028 m)
v = 1.262 m/s
Therefore, the linear speed of the wheel is 1.262 m/s.
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a 21.0 cm long spring is hung vertically from a ceiling and stretches to 27.9 cm when an 8.50 kg mass is hung from its free end.
(a) Find the spring constant (in N/m). ___ N/m
(b) Find the length of the spring (in cm) if the 8.50 kg weight is replaced with a 205 N weight.
___ cm
Answers
(a) The 21.0 cm long spring that is hung vertically from a ceiling has a spring constant of 1208 N/m.
(b) The length of the spring if the 8.50 kg weight is replaced with a 205 N weight is 37.97 cm.
The spring constant is a measure of the stiffness of a spring, i.e., how much force is needed to compress or stretch it by a given amount. If the displacement of a spring is proportional to the force applied, then it is known as Hooke's law.
Hooke's law states that the force needed to stretch or compress a spring by a distance x is proportional to that distance. F = kx where k is the spring constant.
(a) To find the spring constant, we will use Hooke's Law: F = k * x, where F is the force, k is the spring constant, and x is the extension of the spring. First, we need to find the extension (x) and the force (F) exerted by the 8.50 kg mass.
The extension of the spring, x = stretched length - original length = 27.9 cm - 21.0 cm = 6.9 cm, which is 0.069 m.
The force exerted by the mass, F = mass * gravitational acceleration = 8.50 kg * 9.81 m/s² = 83.385 N.
Now, we can find the spring constant (k): k = F / x = 83.385 N / 0.069 m = 1208 N/m.
Hence, the spring constant is 1208 N/m.
(b) To find the length of the spring when the 8.50 kg weight is replaced with a 205 N weight, we need to find the new extension (x') of the spring.
Using Hooke's Law, x' = F' / k = 205 N / 1208 N/m = 0.1697 m, which is 16.97 cm.
The new length of the spring is the original length plus the new extension: new length = original length + x' = 21.0 cm + 16.97 cm = 37.97 cm.
Therefore, the length of the spring when the weight is replaced with a 205 N weight is 37.97 cm.
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A force of 27 N stretches a given spring by 4.4 cm. How much potential energy is stored in the spring when it is compressed 3.5 cm?
Give detail answer
Answers
Answer:
Explanation:
Easy!(assuming it's a horizontal spring)
Fs = kx
27N = k(4.4cm)
k = 118.8N/m
Us = k * x^2 / 2
Us = 118.8N/m * 0.035m^2 / 2
Us = 0.072Nm(J)
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A spring scale is a device that uses a spring with a known spring constant to measure the weight of objects. You have a spring scale with a spring constant of 13 Nm. How much will the spring stretch when a 12-N weight is hung from one end?
Answers
Answer:
It would stretch about 6 inches, but it depends on the metal.
Explanation:
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How does the current in a resistor change if the voltage across the resistor is
increased by a factor of 2?
A. It is increased by a factor of 2.
B. It is reduced by a factor of 2.
C. It is increased by a factor of 4.
D. It is reduced by a factor of 4.
Answers
Answer: A
Explanation:
According to Ohm's law, the current through a resistor is directly proportional to the voltage across it and inversely proportional to its resistance. Mathematically, Ohm's law can be represented as I = V/R, where I is the current, V is the voltage, and R is the resistance.
In this scenario, if the voltage across the resistor is increased by a factor of 2, the current through it will also increase. This is because the resistance of the resistor remains constant, and according to Ohm's law, an increase in voltage results in a proportional increase in current.
Therefore, the correct option is A. The current in the resistor is increased by a factor of 2.
The worker’s pull on the handle of the cart can best be described as a force having
Group of answer choices
magnitude, only
neither magnitude nor direction
direction, only
both magnitude and direction
Answers
Answer:
both magnitude and direction
Explanation:
The worker's pull on the handle of the cart is best described as the force having both magnitude and direction.
This is a vector quantityThe force is channeled to move the cart in a specific direction. Also, the pull on the cart can be quantified, and so it have magnitude. Most physical properties either have magnitude or direction or both.In this case, the worker is pulling the cart towards a specified direction.
Therefore, the fitting choice is both magnitude and direction.
The presence of dark energy has been deduced by studying what astronomical object in distant galaxies?
Answers
The presence of dark energy has been deduced by studying the movement of stars and galaxies.
Around the 1990's, astronomers studying the rate of expansion of the universe discovered something abnormal. Instead of slowing down due to gravity or even remaining the same, the universe was expanding at an alarming rate.
The rate of expansion was measured using the light coming from supernovae ( massive exploding stars ). While puzzled by this idea, some scientists brought up an old idea by Albert Einstein, also called his "biggest blunder", that there is an energy contained in the vacuum of space that is repulsive and is accelerating the expansion of the universe. This mysterious energy is what is known as dark energy today.
Dark energy, most at times is confused with dark matter. Very little is known about it as of today, as it is invisible because it doesn't react to visible light. The presence of dark energy is therefore studied by monitoring its gravitational pull on distant stars and galaxies.
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