Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52. what is the wavelength of the light (a) in vacuum and (b) in the glass?

Answers

Answer 1

Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52.

(a) Wavelength of the light in the vaccum is 5.17 X 10⁻⁷m

(b) Wavelength of light in glass is 3.40 X 10⁻⁷m

Equation :

Given;

Frequency (λ) : 5.80 X 10¹⁴ Hz

Refractive index (η) = 1.52

(a) Wavelength of light λο = C/f

where, c = speed of light

f = frequency

                                      λο = (3 X 10⁸ m/s)/5.8 X 10¹⁴ Hz

                                      λο = 5.17 X 10⁻⁷

Wavelength of the light in the vaccum is 5.17 X 10⁻⁷m

(b) Wavelength of light in glass λ = λο/η

where, η = Refractive index

               λ = λο/η = (5.17 X 10⁻⁷m) X 1.52 = 3.40 X 10⁻⁷m

Therefore, wavelength of light in glass is 3.40 X 10⁻⁷m

Wavelength :

The distance between the two crests or troughs of the light wave is known as the wavelength of light. Using the Greek letter lambda (λ), it is identified. As a result, wavelength refers to the separation between one wave's crest or dip and the following wave.

Visible spectrum: The part of the electromagnetic wave that can be observed by human vision is known as the visible spectrum. The visible spectrum in the electromagnetic spectrum spans from the infrared to the ultraviolet regions. Between the infrared and ultraviolet wavelength ranges is where the visible light falls. From 400 nanometers (violet) to around 700 nanometers, the human eye can sense light (red). Other electromagnetic radiations are either outside the range of biological function or are too small or huge to be detected by the human eye.

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Related Questions

Tides are strongest when the:________
a. sun is setting
b. earth, moon, and sun are in line.
c. body of water is very large.
d. moon and sun are at right angles to the earth.

Answers

Tides are strongest when the earth, moon and sun are in line.

What are tidal waves?

A tidal wave is a periodically occurring shallow water wave brought on by the ocean's gravitational interactions with the Sun, Moon, and Earth. Despite the fact that tides have nothing to do with tsunamis, the phrase "tidal wave" is frequently used to describe them. A storm surge, storm flood, tidal surge, or storm tide is a tsunami-like occurrence of rising water that frequently occurs along coastlines during low-pressure weather systems like cyclones. It is calculated as the increase in water level over the average tidal level and excludes waves.

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What type of spectrum, if any, would be produced if the light radiated by a heated atomic gas were to be dispersed through a prism?

Answers

Complete Question

What type of spectrum, if any, would be produced if the light radiated by a heated atomic gas were to be dispersed through a prism? A. a continuous band of color B. a continuous band of color with some dark lines (missing wavelengths) C. only blue light D. only red light E. discrete lines of different colors

Discrete lines of different colors

What happens to light when dispersed through prism ?

When light passes through a heated atomic gas and then dispersed through the prism, A line spectrum is obtained always. This happens because when, heated atoms of the gas will be in excited state, these excited state atoms t will emit lights of specific frequency particular to the gas. Thus, a spectra containing lines of discrete colors is obtained on the screen.

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A baseball has a mass of 0.144 kg. a professional pitcher throws a baseball 90 mi/h, which is 40.2 m/s. what is the magnitude of the momentum of the pitched baseball?

Answers

The magnitude of the momentum is 5.78 kgm/s

Given:

mass of baseball = 0.144 kg

initial speed = V1 = 90 m/h = 0.025 m/s

final speed = V2 = 40.2 m/s

To Find:

momentum = p

Solution: momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

∆ P = m(V2 - V1)

∆ P = 0.144(40.2 - 0.025)

∆ P = 5.78 kgm/s

Hence, magnitude of the momentum is

Hence, magnitude of the momentum is 5.78 kgm/s

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sketch the graph of density against temperature of water between 0°c and 10°c​

Answers

Answer:there is the scetch in the picture

Explanation:

Your friend moved from chicago to buenos aires, argentina and said that she has observed constellations that cannot be seen in chicago. could this be true? group of answer choices

Answers

Yes, if my friend moved from Chicago to Buenos Aires, Argentina and said that she has observed constellations that cannot be seen in Chicago, because, two stars in same constellation may be actually very far away from each other.

What are constellations?

Constellations are the groups of stars. The constellations you can see at night depend on your location on the Earth and the time of year. Constellations were named after objects, animals, & people long ago. Astronomers today still use the constellations to name stars and meteor showers. A constellation is group of stars that looks like a particular shape in the sky and has been given a name. These stars are far away from the Earth and they are not connected to each other at all. Some stars in a constellation might be close while others are very much far away. But, if you were to draw lines in the sky between the stars like a dot-to-dot puzzle – and use lots of imagination – picture would look like an object, animal, or person.

Why constellation is so important?

constellation, in astronomy, any of certain groupings of stars that were imagined—at least by those who named them—to form conspicuous configurations of the objects or creatures in the sky. Constellations are useful in assisting the astronomers and navigators to locate certain stars.

Certain constellations can only be seen in Northern Hemisphere but disappear in Southern Hemisphere, the vice-versa is true as well. The Earth is a globe because constellations appear to shift and disappear due to spherical curvature of the Earth.

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Which component does the nurse analyze to identify patient problems and select appropriate nursing diagnoses? plan of care

Answers

Nursing diagnoses are created by analyzing and grouping patient assessment data in order to pinpoint patient issues and choose the best nursing diagnoses.

What do you understand by diagnoses?

The practice or process of diagnosing a disease based on its symptoms and characteristics. a: the conclusion drawn from a doctor's diagnostic. b: the investigation or analysis of the nature, cause, or occurrence of a condition, circumstance, problem, or engine problems diagnostic.

Identifying a disease or problem and separating it from other potential disorders is the process of diagnosis. The word's root is the Greek word gnosis, which means knowledge. imaging using magnetic resonance.

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In a mass spectrometer, a compound is first vaporized and converted into ions, which are then separated based on a difference in their _______________________.

Answers

The correct answer is  their difference in the charge to  mass ratio  a mass spectrometer, a compound is first vaporized and converted into ions .

Mass spectrometry is a technique for determining the mass-to-charge ratio (m/z) of one or more molecules in a sample. These measurements are frequently used to calculate the precise molecular weight of the sample components.

The speed at which positively charged ions move through a vacuum chamber toward a negatively charged plate is measured by mass spectrometers. ToF, magnetic sector, and quadrupole mass spectrometers are all commonly used in SIMS instrumentation.The MS/MS has three major advantages: the ability to study numerous molecules regardless of whether they are from the same structural family or not; the ability to highlight the specific metabolites of a disease; and it is an automated technique that allows for large-scale analysis.

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What type of telescope would you want to suggest to an amateur star-gazer for its ease of set up and its ability to stay aligned easily?
OA compound
OB refracting
OC reflecting
OD. radio

Answers

i don’t know if this i rigth but i would go with oc reflecting

a block of metal has a width of 3.2 cm , a length of 17.1 cm , and height of 4.5 cm . its mass is 1.5 kg . calculate the density of the metal.

Answers

The density of the metal is 0.006 Kg / [tex]cm^{3}[/tex]

We know that,

ρ = m / V

V = l w h

where,

ρ = Density

m = Mass

V = Volume

l = Length

w = Width

h = Height

Given that,

m = 1.5 kg

l = 17.1 cm

w = 3.2 cm

h = 4.5 cm

V = 17.1 * 3.2 * 4.5

V = 246.24 [tex]cm^{3}[/tex]

ρ = 1.5 / 246.24

ρ = 0.006 Kg / [tex]cm^{3}[/tex]

Density is defined as the amount of matter present in an enclosed boundary. It is represented as ρ.

Therefore, the density of the metal is 0.006 Kg / [tex]cm^{3}[/tex]

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Are the stack temperature and oxygen reasonable for these operating conditions? if not, what oxygen and stack temperature would you recommend if not? what is the efficiency with your chosen values?

Answers

Stack temperatures typically range from 350 to 450 degrees Fahrenheit. A 2.5% efficiency loss occurs for every 100 degrees over that temperature. The majority of buildings schedule annual boiler cleanings at regular intervals, but if you see those figures rise, it's time for a cleaning.

Excess air is required to completely burn the fuel since the air and fuel cannot combine exactly in a burner. Additionally, any leaks in the heater will draw air into the firebox that doesn't pass through the burners since the furnace or boiler firebox operates at a little negative gauge pressure. Fuels that are gaseous, like natural gas, burn more readily than fuels that are liquid or solid. Depending on the fuel type, different surplus air requirements will apply.

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A copper wire has a diameter of 1.572 mm. what magnitude current flows when the drift velocity is 2.29 mm/s? take the density of copper to be 8.92 103 kg/m3.

Answers

By using the drift velocity of the electron, the current flow is 6.02 ampere.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

d = 1.572 mm

r = (0.001572 / 2) m

v = 2.29 mm/s = 0.00229 m/s

ρ = 8.92 x 10³ kg/m³

q = e = 1.6 x 10¯¹⁹C

Find the atom density

n = Na x ρ / Mr

where Na is Avogadro's number (6.022 x 10²³), Mr is the atomic weight of copper (63.5 g/mol = 0.635 kg/mol).

n = 6.022 x 10²³ x 8.92 x 10³ / 0.635

n = 8.46 x 10²⁷ /m³

Find the current flows

v = I / (n . A . q)

0.00229 = I / (8.46 x 10²⁷ . πr² . 1.6 x 10¯¹⁹)

0.00229 = I / (8.46 x 10²⁷ . π(0.001572 / 2)² . 1.6 x 10¯¹⁹)

I = 6.02 ampere

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A cloud drifted above an airplane that was flying at 5,300 meters per minute. At a constant velocity, the cloud moved 4,620 meters to the east in 27.5 minutes. What was the cloud’s velocity?

Answers

The cloud is moving at a 352 m/min speed.

An object must move at a consistent speed and direction in order to have a constant velocity. The object can only move in a straight line if the direction is constant. So, motion in a straight line at a constant speed is defined as having a constant velocity.

The speed of the cloud remains constant. As a result, we can calculate the cloud's velocity by dividing the distance it traveled over time: -\sv=d/t

where v is the speed, d is the distance, and t is the duration.

7920 meters were covered by the cloud in 22.5 minutes, so:

- V = 7920/22.5, V = 352 m/min

Consequently, the cloud's speed was 352 m/min.

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You watch two otters cross a river of width d with water flowing at vw. Otter 1 swims across the river perpendicularly to the shore (but ends up actually swimming diagonally from the reference frame of a person standing on the shore because the river flows in a direction perpendicular to the direction the otter swims). Otter 2 swims in a direction that takes her directly across the river, on a path that is actually perpendicular to the shore as seen from a person standing on the shore. Each otter swims at vo relative to the water and they take the paths described above. How much longer does the Otter 2 take to cross the river? To answer this, derive an expression for the ratio of the time taken by the Otter 2 to cross the river divided by the time taken by the Otter 1 to cross the river. Get the ratio in terms of vo and vw and select the correct answer.

Answers

The fur of a sea otter is the densest of any animal, having the most hairs per square inch of any other species. Even while floating in the water, their thick fur keeps the animal warm and dry.

Sea otters decrease heat loss when the water is too cold by floating on their backs with their feet out of the water. To increase their surface area when trying to dissipate heat, sea otters spread their feet out underwater. Sea otters typically spread out or tuck their feet up to maintain body heat. The amount of food available to sea otters would decrease if prey species in their environment declined as a result of changing temperatures.

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Is the smallest, electrically neutral assemblage of energy and matter that we know exists in the universe. it consists of a nucleus surrounded by a cloud of electrons?

Answers

The smallest, electrically neutral assemblage of energy and matter that we know exists in the universe. it consists of a nucleus surrounded by a cloud of electrons is: an atom

The smallest unit of an element that still retains the distinctive behavior of that element is an: atom

A single atom of an element keep its distinctive behavior, that's because the atom is the smallest unit of the composition of a chemical element

What is an atom?

The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.

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According to einstein’s theory of relativity, what happens to the mass of an object as the object approaches the speed of light?

Answers

When an object approaches the speed of light then the he objects mass become infinite.

Einstein theory of relativity is actually fairly simple. It is based on two very simple ideas.

Principle of relativity. Principle of constancy of lightspeed.

relativity describes the situation when.

Either body is moved at a speed close to that of the light. Or gravity is very very strong. Or both.

in these cases Newtonian theory does not work.

But when the speed are much slower than light. And gravity is not too strong. At that point relativity and Newtonian theory are exactly the same.

the mass of an object becomes infinite as the object approaches the speed of light .

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A(n) _________ uses capacitors and inductors that are tuned to remove particular harmonic frequencies.

Answers

A passive harmonic filter uses capacitors and inductors that are tuned to remove particular harmonic frequencies.

A passive harmonic filter is the part of motor systems and utilizes capacitors to carry out different functions.

It is an important component that is installed in the inner side of the motor drive structure to block harmonic frequency.

There are diverse frequency drives in the motor system that produce a lot of distortion.

The purpose of harmonic filter is to reduce the noise produced by distortion.

Furthermore, if the problem is not adequately addresses then it can cause damage to nearby devices or equipment.

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What led to a change in the model of the atom?

Answers

Answer:

Rutherford's experiment

Explanation:

Rutherford's experiment prompted a change in the atomic model. If the positive alpha particles mostly passed through the foil, but some bounced back. AND if they already knew that the electron was small and negative, then the atom must have a small positive nucleus with the electrons around them.

A 73.0-kg person stands on a scale in an elevator.hat does the scale read (in n) when the elevator is at rest?

Answers

When the elevator is at rest, the scale reads 75 kg.

By "scale in elevator" what do you mean?

The scale will read higher than when the elevator is at rest if you stand on it as it accelerates upward, making you feel heavier due to the elevator's floor pressing more forcefully on your feet. On the other hand, you feel lighter as the elevator speeds down. The scale will display the normal force, which is less than it was at rest, as N = m(g - a). An elevator scale is being used by a 75 kg individual to demonstrate the issue. The scale reads 100 kg as the elevator starts to rise.

In the case of a rest, the combined force acting on the elevator is caused by the person's mass and Earth's gravitational pull. As a result, the scale reads 75 kg when the elevator is at rest.

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Which of the following are examples of lowering unwanted friction? (SELECT ALL THAT APPLY)

A Nonstick coatings on cooking pans.
B
Putting salt or sand on icy roads.
c The holes in an air hockey table causing the puck to slide around.
D Putting chalk on your hands
before mountain climbing.

Answers

A Nonstick coatings on cooking pans.

B. Putting salt or sand on icy roads.

D Putting chalk on your hands before mountain climbing.

are examples of lowering unwanted friction

How can the friction between two surfaces be reduced?

We may greatly reduce friction by polishing surfaces or by using a lot of lubricants like oil, water, or grease, but we cannot completely eliminate friction.

Nowadays, low friction coatings are a common form of industrial coating. Because of their low coefficient of friction, these coatings are given this moniker. Low coefficient of friction coatings come in a variety of forms, including PTFE, tungsten disulfide, molybdenum disulfide, etc.

A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.

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Calculate the linear density of iron along [110] and [111] directions (r = 0.124 nm)

Answers

The linear density of iron along [110] and [111] directions are

[tex]LD(100) = 2.851 nm^{-1[/tex]

[tex]LD(111) = 1.646 nm^{-1}[/tex]

Linear Density = No of atom centered on the direction vector / Length of direction vector.

[tex]LD(100) = \frac{1 atom}{2R\sqrt{2} }\\LD(111) = \frac{1 atom}{2R\sqrt{6} }[/tex]

[tex]R = 0.124 nm[/tex]

So, it becomes,

[tex]LD(100) = \frac{1}{2 * 0.124 \sqrt{2} } \\= > 2.851 nm^{-1}[/tex]

[tex]LD(111) = \frac{1}{2 * 0.124\sqrt{6} } \\ = > 1.646 nm^{-1}[/tex]

Hence, the linear density of iron 110 is 2.851nm⁻¹ and the linear density of iron 111 is 1.646nm⁻¹.

Does linear density remain constant ?

If a material has a non-uniform cross section, the linear mass density is a constant term that allows us to calculate the mass of the material at any given length between x = 0 and x = L. The cgs unit is g/cm whereas the SI unit for linear mass density is kg/m.

The linear density of the string and the tension in the string both affect how quickly a wave moves along a string. A string's linear density is its mass per unit length. In general, a wave's speed is determined by the square root of the medium's elastic property to inertial property ratio.

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If the truck were instead traveling at this speed in the westbound lane, what would be the relative velocity between you and the truck?

Answers

65 mi/h would be the relative velocity between you and the truck.

What is velocity?

Speed is the directional speed of an item moving as a sign of its pace of progress ready as seen from a specific casing of reference and as estimated by a specific norm of time. Speed is a principal idea in kinematics, the part of traditional mechanics that depicts the movement of bodies. It could sound convoluted, yet speed is fundamentally speeding in a particular course. It is a vector amount, and that implies we want both extent (speed) and bearing to characterize speed. The SI unit of it is meter each second (ms-1 ). In the event that there is a shift in extent or the course in the speed of a body the body is supposed to speed up.

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Why is it important to center an object you are analyzing in the field of view of the microscope before switching to a higher power lens?

Answers

As magnification increases, field diameter decreases and objects at the periphery will no longer be in the visible field.

What is Lens ?

A lens is a piece of transparent material that is typically round in shape with two polished surfaces that are either convex (bulging) or concave on one or both sides (depressed). The curves almost always have a constant radius of curvature since they are spherical.

Let's examine how to identify images using the lens formula (1/v-1/u= 1/f) without needing to create ray diagrams.

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A beam of blue light in air is incident on a glass plate. will the beam transmitted through the glass plate emerge parallel to the incident beam?

Answers

If the top and bottom surfaces of the glass plates are parallel to each other, the incident and emergent beam will be parallel to each other no matter the wavelength (colour) of beam.

CASE 1 : The surface in which the beam is incident is parallel to the surface from which the beam is emitted. In this case, the incident and emergent ray are always parallel to each other no matter the wavelength (colour) of beam.CASE 2 : The surface in which the beam is incident is not parallel to the surface from which the beam is emitted. In this case, the incident and emergent ray are not parallel to each other.

Refractive index is the lights bending ability when moving from one medium to another. Refractive index varies with colours but not angle of incidence and emergence.

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which three workers use technologies that apply the Doppler effect
A. an ultrasound technician
B. a pilot who needs to avoid bad weather
C. an insurance building inspector
D. a race-car mechanic

Answers

The three workers that use technologies that apply the Doppler effect are;

an ultrasound techniciana pilot who needs to avoid bad weathera race-car mechanic

What is the Doppler effect?

The term Doppler effect has to do with an increase or decrease in the frequency of sound as the observer moves towards or away from the source of the sound.

We know that;

fo = (v + vo/v + vs) fs

fo = frequency of the observer

v = velocity of sound

vs = velocity of source of sound

vo = velocity of observer

fs = true velocity of sound

The three workers that use technologies that apply the Doppler effect are;

an ultrasound techniciana pilot who needs to avoid bad weathera race-car mechanic

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A westward-
moving motorcycle increases its speed from 5.0
m/s to 25.0 m/s in 2.5 seconds.
magnitude=
direction=

Answers

A westward-moving motorcycle increases its speed from 5.0 m/s to 25.0 m/s in 2.5 seconds. Magnitude= direction=

Calculation

The magnitude comes according to the formula (V-U)/T

Here U (initial velocity) = 5 m/s

V (final velocity) = 25 m/s

Time taken (T) = 2.5 s

So, going according to the formula,

we will have the magnitude = (25 – 5)/ 2.5

So, the magnitude is 20/2.5 = 8

So, the magnitude is 8

And since the speed is increasing, hence the direction would be in the same direction as the body is moving. It means the direction is in westward direction.

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What is the net force on a crate sliding at an unchanging speed when pushed with a steady force of 75 n?

Answers

The net force on a crate sliding at an unchanging speed when pushed with a steady force of 75 n is zero.

The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there are a lot of forces acting on a system, the term "net force" is employed.

The total force acting on an object is its net force. Newton's second law, which states that F = ma, where F represents the net force, can be used to compute the net force. The object's mass is given by m. Acceleration is a.

The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.

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A ray of light in air strikes a glass surface. is there a range of angles for which total internal reflection occurs? explain.

Answers

No, there is no range of angles for total internal reflection(TIR).

What is total internal reflection?

Total internal reflection (TIR) is an optical phenomenon when waves arriving at the interface (boundary) of two media, such as water and air, are entirely reflected back into the first (internal) medium rather than being refracted into the second (external). It happens when the waves are incident on the interface at a suitably oblique angle and the second medium has a higher wave speed (i.e., lower refractive index) than the first. TIR occurs not only with electromagnetic waves like light and microwaves but also with other types of waves, including sound and water waves. For instance, the water-to-air surface in a typical fish tank, when viewed obliquely from below, reflects the underwater scene like a mirror with no loss of brightness.

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if 2 objects are in motion but one has a larger mass does this change the amount of energy that can be transferred during the collision?

Answers

Yes, the energy transmission is increased by an object's mass.

When two objects come into touch, they collide. When two items collide, energy is transferred from one thing to the other. Energy is the power to perform tasks (or in more simple terms: energy makes things happen). Any two items that are acting in response to one another create a pair of forces that are of the same size but acting in the opposite direction.

The amount of energy exchanged during a collision depends on the weight and speed of the moving object; bigger objects carry more energy. This explains why truck collisions cause such severe automotive damage. In a collision, the energy carried by the large truck is transferred to the lighter vehicle.

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The rate at which a star or other object emits electromagnetic energy into space is called its:________

Answers

The rate at which a star or other object emits electromagnetic energy into space is called its luminosity.

What are luminosity and magnitude?

A star's luminosity is a measurably inherent characteristic that is independent of distance. On the other hand, the concept of magnitude takes into account distance. According to the inverse-square law, the apparent magnitude is a measurement of how much the flux of light decreases with increasing distance.

The total amount of energy emitted by a star or other celestial object each second is expressed as luminosity abbreviated L. So, this is how much power a star produces. A star's bolometric luminosity is its total power output at all wavelengths.

The quantity of light emitted by a star's surface determines its brightness. How bright a star appears to a detector on Earth is known as apparent brightness. Distance affects how luminosity and apparent brightness differ from one another.

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40 POINTS AND RLLY EASY

Which option that best describes the planet Jupiter?

Select one:

a.
-largest and most massive planet in the solar system
- has a huge permanent storm that looks like a red spot in images
- has at least 61 moons orbiting it, some of which are very large
- located closer to the sun than Kuiper Belt

b.
-has highest surface temperature of any planet in the solar system
- roughly the same size as Earth
- has a thick carbon dioxide atmosphere
-orbits the sun

C.
- has landforms made by flowing liquid water
- has many huge on its surface
- gets its red color from iron oxide present in soil and rocks on surface
- reflects light from sun
d. -inside of the planet shrunk, forming large cliffs on the surface
- heavily cratered
- no atmosphere
- has mass

Answers

A. Jupiter largest and most massive planet in the solar system

Jupiter has a huge permanent storm that looks like a red spot in images

Jupiter has at least 61 moons orbiting it, some of which are very large

Jupiter located closer to the sun than Kuiper Belt

Which option that best describes the planet Jupiter?

Jupiter came on fifth number from the sun and the Jupiter is the massive planet present in our solar system. It contains the big storms like great red spot. The surface of the Jupiter is gas made giant but the surface of the Jupiter is not solid, but it may have a solid inner core about the size of Earth.

The Jupiter contain at least 61 moons which orbiting the Jupiter . The life on the Jupiter is impossible because the Jupiter contain very much pressure, it has volatile surface and the temperature of the Jupiter is very hot than that of the earth.

So we can conclude that option A is the right answer.

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What is a major area of jurisdiction for local law enforcement agencies The temperature fell 12 degrees over 4 hours. What was the average change in temperature per hour?Expression: Answer: Find the matrix a of the linear transformation from r2 to r2 that rotates any vector through any angle of 120 An atoms atomic number is the sum of the protons and nuetrons in the nucleus.truefalse Larger, disconnected intervals make a melody _____, while smaller, connected intervals make a melody _____. Exercise 6 Place a check next to each sentence in which the adverb is positioned correctly.There are, however, quite some difficult jobs that are best left to a professional. A scientist has 20 grams of the radioactive isotope sodium-24. The isotope decays exponentially as shown in the table.Time (hours)Mass (grams)515.91012.61510207.9256.3305Approximately what will the mass of the isotope be after 45 hours?A 1.5 gramsB. 2.5 gramsC. 3.5 gramsD. 4.5 grams to the european explorers finding new trades routes ment an ion with one more proton and two more neutrons as an atom of Ne-20 but the same number of electrons? Complex behavior rooted in the pursuit of interpersonal goals, friendly atmosphere, consensus, modesty, caring for the weak, and quality of life is defined as:________ In the context of international trade restrictions, nontariff barriers tend to be fairly effective because:__________ For a show during the halftime break up a football game a stage will be set up on the field the center of the stage is on the 35 yard line if the distance from the center to the outer edges is 11 yards which equation can be used to find the location of the outer edges of the stage If CATDOG, which statement must be true? When a child inherits one set of six hla genes together from one parent, this is called a(n):________ Find least number which must subtracted from the following to make them perfect square42029 i need help on 9,10,11 please _____________ helps companies tap into the massive volume of customer opinions expressed online. media mining text mining unstructured analytics media metrics Novartis is using education to build a market where none has existed before. why have very poor people been underserved by for-profit companies? In a membrane, the________of the phospholipids in one monolayer face the________of the phospholipids in the other monolayer. In a class, there are thirty-six students going on a field trip. One sixthare bringing a lunch from home. How many are bringing their lunchfrom home?