use the drop-down menu to complete the statement. the production of an electric current by a changing magnetic field is known as .

Answers

Answer 1

The production of an electric current by a changing magnetic field is known as electromagnetic induction.

The phenomenon when the current is produced due to changing magnetic field is given by Faraday.

And this phenomenon is called the electro-magnetic induction or magnetic induction since the electricity is generated due to the fluctuations or variance in the magnetic field.

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Answer 2

Answer:

electromagnetic induction

Explanation:


Related Questions

characterizing vibration-assisted atomic force microscopy (afm)-based nanomachining via perception of acoustic emission phenomena using a sensor-based real-time monitoring approach

Answers

The study 'characterizing vibration-assisted atomic force based nanomachining' aims to elucidate nanomachine properties for heterogeneous materials.

What is nanomachining?

The expression nanomachining makes reference to the study of nanometric machines (nanomachines) and related materials, which can be achieved by different approaches including sensor-based strategies related to acoustic auditive phenomena.

In conclusion, the study 'characterizing vibration-assisted atomic force based nanomachining' aims to elucidate nanomachine properties for heterogeneous materials.

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Abigail is pushing a reluctant goat through a gate. She does 800 J of work and it takes her 4 seconds. Calculate the power Abigail generates.

Answers

A goat that is being pushed by Abigail through a gate. It takes her 4 seconds and 800 J of work.

The amount of electricity Abigail produces Identity foreclosure on identity

Identity foreclosure, or having an identity but only having ideas and characteristics they have just absorbed from their parents, friends, or group, is a characteristic of adolescence. In addition to having a distinct identity and being prone to discovering it,

Identity foreclosure young individuals in this age group also have a propensity to be influenced by a variety of factors, most notably their families and environments.

In other words, young individuals at this age are still not open to explore new possibilities and concepts; instead, they are following established norms.

Combining the urgent need to delve into one's own identity with

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A nonconducting sphere has mass 80.0 g and radius 20.0cm . A flat, compact coil of wire with five turns is wrapped tightly around it, with each turn concentric with the sphere. The sphere is placed on an inclined plane that slopes downward to the left (Fig. P29.65), making an angle Ф with the horizontal so that the coil is parallel to the inclined plane. A uniform magnetic field of 0.35T vertically upward exists in the region of the sphere.(b) Show that the result does not depend on the value of Ф .

Answers

The torque value is 560 Nm, so the result does not depend on the value of Ф.

Given:

Mass=80.0 g

Radius=20.0 cm

Magnetic field=0.35T

In a magnetic field, a loop of current-carrying wire will experience the following torque:

τ=μ×Β

Here, is the μ magnetic moment and Β is the magnetic field.

τ= 1600 × 0.35 T

τ= 560 Nm

What is torque and its SI unit?

The rotating equivalent of force is torque. It is also known as the moment, moment of force, rotating force, or turning effect depending on the field of research. It serves as an example of how a force can alter a body's rotational motion.

The Newton-metre, or kgm2sec-2, is the SI unit for torque. How did we get to this point? Considering the equation Torque = Force X Distance Torque is measured in newton-meters, whereas distance is measured in meters and force is measured in newtons.

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QC A 3.00 -g copper coin at 25.0°C drops 50.0m to the ground. (a) Assuming 60.0% of the change in gravitational potential energy of the coin-Earth system goes into increasing the internal energy of the coin, determine the coin's final temperature. "

Answers

The final temperature of the coin is determined as 25.76 ⁰C.

Gravitational potential energy of the coin-Earth system

P.E = mgh

where;

m is mass of the coinh is height of fall

P.E = 0.003 x 9.8 x 50

P.E = 1.47 J

Increase in the internal energy of the coin

Q = 60% of 1.47 J

Q = 0.6 x 1.47 J

Q = 0.882 J

Final temperature of the coin

Q = mcΔθ

Q = mc (T - 25)

where;

c is specific heat capacity of copper = 389 J/kgK

0.882 = 0.003 x 389(T - 25)

0.756 = T - 25

T = 25.76 ⁰C

Thus, the final temperature of the coin is determined as 25.76 ⁰C.

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at 8pm, you see that the pointer stars of the big dipper and the star polaris are arranged in a vertical line. how long, give or take a few minutes, would you need to wait to see them arranged in a horizontal line?

Answers

6 hours long, give or take a few minutes, you need to wait to see them arranged in a horizontal line if, at 8 pm, you see that the pointer stars of the big dipper and the star Polaris are arranged in a vertical line.

What do you mean by pointer star?

The two prominent stars in Ursa Major known as the Pointer Stars can be utilized to locate Polaris, the North Star. The Big Dipper asterism includes the two stars Dubhe and Merak (Alpha and Beta Ursae Majoris). They trace the bowl of the Dipper's exterior. The direction of the North Star is indicated with a line that runs from Merak via Dubhe. Because it identifies the location of the celestial north pole, Polaris is significant in navigation. While other stars and constellations seem to revolve around it, the star is constantly found in the same location in the sky throughout the year.

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A string of length L , mass per unit length μ, and tension T is vibrating at its fundamental frequency. (ii) If the mass per unit length is doubled, with all other factors held constant, what is the effect on the fundamental frequency? Choose from the same possibilities as in part (i).

Answers

Fundamental frequency will be [tex]\frac{1}{\sqrt{2} }[/tex] times that of original frequency on doubling the mass per unit length.

Fundamental frequency, also called simply fundamental wave, is defined as the lowest frequency of a periodic waveform. In music, the root is the  pitch of the note that is perceived as the lowest partial present.A wave traveling on the string is reflected at the other end. Standing waves are created as a result of interference between  incident and reflected waves propagating in  opposite directions.  The fundamental frequency of the standing wave of a taut string is given by [tex]f=\frac{1}{2l} \sqrt{\frac{T}{u} }[/tex]       ....(1)  where T is the tension in the string, u is the mass per unit length of the string , l is the length of the string.

From equation (1) , it can be seen clearly that  fundamental frequency is inversely proportional to the square root of the mass per unit length of the string.

On putting double the mass per unit length in equation (1) keeping the all factor same , we get

               [tex]f'=\frac{1}{2l} \sqrt{\frac{T}{2u} }\\\\f'=\frac{1}{\sqrt{2} } f[/tex]

Where f ' is the new frequency and f is the original frequency .

Thus, on doubling the mass per unit length, with all other factors held constant then the fundamental frequency will be [tex]\frac{1}{\sqrt{2} }[/tex] times that of original frequency.

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Consider (a) an electron (b) a photon, and (c) a proton, all moving in vacuum. Choose all correct answers for each question. (vi) Which have a wavelength characterizing their motion?

Answers

Electron , photon and proton have wavelength which is option (a) , (b) and (c) .

An electron is a solid negatively charged factor of an atom. Electrons exist outdoor of and surrounding the atom nucleus. Each electron includes one unit of bad charge (1.602 x 10^-19 coulomb)A proton is a subatomic particle discovered with inside the nucleus of each atom.  The particle has a advantageous electric charge, identical and contrary to that of the electron A photon is a subatomic particle, having strength and momentum however no mass or electric powered charge, this is the quantum unit of electromagnetic radiation, together with light.

De Broglie derived the relationship between the wavelength and momentum of matter. This relationship is known as de Broglie's relationship.

De Broglie's relationship is given by [tex]\lambda=\frac{h}{mv}[/tex]  .....(1) where λ is known as de Broglie wavelength and m is mass , v is velocity , h = Plank’s constant .

With the help of equation (1) we can determine the wavelength of the electron and proton .

For photon , the wavelength is given by

[tex]E=hv=\frac{hc}{\lambda}[/tex]

Where h is plank's constant and c is speed of light , v is frequency of the inicident photons .

Thus, we can determine the wavelength of electron , photon and proton.

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Calculate the magnitude of the magnetic field at a point 25.0cm from a long, thin conductor carrying a current of 2.00 A.

Answers

[tex]distance between rod and $O$ is $=r=25 \mathrm{~cm}=0.25 \mathrm{~m}$\\is $=r=25 \mathrm{~cm}=0.25 \mathrm{~m}$Let us assume, athat rod to infinite then angle $\theta_1$ and $\theta_2$ is equal to $90^{\circ}$ Now, According to Biot-Sewart law, magnetic field (B) due thin rod is magnetic field (E) due thin rod is$$\Rightarrow B=\frac{\mu_0}{4 \pi} \frac{I}{r}\left[\sin \phi_1+\sin \phi_2\right]$$[/tex][tex]$\because \frac{\mu_0}{4 \pi}=$ Proportionality Constant $=10^{7 t}$$\sin \phi_1+\sin \phi_2=\sin 90^{\circ}+\sin 90^{\circ}=2$$$\Rightarrow B=10^{-7} \times \frac{2}{0.25} \times 2$$$\Rightarrow B=16 \times 10^{-7} \mathrm{~T}$Hence, Magnitude of magnetic fell due to thin rod is $16 \times 10^{-7} \mathrm{~T}$.[/tex]

What is magnitude?

The magnitude or size of a mathematical item defines whether it is greater or smaller than other things of the same sort in mathematics. Formally speaking, the size of an item is the exhibited outcome of an ordering—of the class of objects to which it belongs.

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Assume a 150 -W loudspeaker broadcasts sound equally in all directions and produces sound with a level of 103dB at a distance of 1.60 m from its center.(a) Find its sound power output. If a salesman claims the speaker is rated at 150W , he is referring to the maximum electrical power input to the speaker.

Answers

According to the question; The output power is 0.643W.

What do you mean by power?

Power is the quantity of energy that is transported or transformed per unit of time in physics. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings. A scalar concept is a power.

According to the question:

Power, P₁ = 150W

Sound intensity level, β = 103db

Distance, d = 1.60m

The sound intensity level is β = 10log(I/I₀)

Reference intensity I₀ = 10⁻¹²

By solving, Intensity, I = 0.02w/m²

Power output P₀ = (4πd²) I

P₀ = 0.643W

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The subatomic particles that are least massive and most massive respectively are the.

Answers

Answer:

the fundamental particle that has the least and most massive are the electron and the neutron.

Explaination:

Electrons are the least massive subatomic particles, and they are found in nucleus. neutron is the heaviest sub-atomic Particles among the given subatomic particles with mass of 1.008 amu.

A long solenoid with closely spaced turns carries electric current. Does each turn of wire exert (a) an attractive force on the next adjacent turn, (b) a repulsive force on the next adjacent turn, (c) zero force on the next adjacent turn, or (d) either an attractive or a repulsive force on the next turn, depending on the direction of current in the solenoid?

Answers

An attractive force on the next adjacent turn of wire exerted.

A long solenoid with closely spaced turns carries electric current, then the force does each turn of wire exert on the next adjacent turn is attarctive.

By combining a solenoid and a bar magnet, an electric current is generated. Which adjustments will result in a reduction in the amount of electric current generated?

When a solenoid and a bar magnet are used to create an electric current, the amount of wire loops in the solenoid that are used to create the current decreases. Magnetic field of solenoid depends on the number of coils present in the solenoid and the amount of current flowing from the coil.

If we increases the number of coils present in the solenoid then the electric current is also increases.Fewer no. of loops on the solenoid decreases the amount of electric current present in that coil.Using a stronger magnet near the solenoid also increases the strength of the electric current, as of the induced magnetic field.Moving a solenoid instead of magnet inside the loop, is also increases the electric current.And moving of magnet near and far away from the solenoid fastly or slowly also increases the electric current, due to electro magnetic induction.

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A wrecking ball has a mass of 650 kg. it swings from a cable that is 21 m long. the centripetal force on the ball is 56 n. what is the tangential speed of the wrecking ball? 1.3 m/s 1.8 m/s 46 m/s 870 m/s

Answers

By using centripetal force, the tangential speed is 1.35 m/s.

We need to know about centripetal force to solve this problem. The centripetal force is a force caused by moving objects in a circular motion. The magnitude of the centripetal force depends on tangential speed, mass and radius. It can be written as

Fc = m . v² / r

where Fc is the centripetal force, m is mass, v is tangential speed and r is the radius.

From the question above, we know that

m = 650 kg

r = 21 m

Fc = 56 N

By substituting the given parameters, we get

Fc = m . v² / r

56 = 650 . v² / 21

v² = 1.81

v = 1.35 m/s

Hence, the tangential speed is 1.35 m/s.

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Answer:

A. 1.3 m/s

Explanation:

Person above is correct!

Attached these other pictures just incase. : )

For the last picture its is:

✔ V

✔ W

✔ Y

After rock y is released from rest several seconds after rock x is released from rest, what happens to the separation distance s between the rocks as they fall but before they reach the ground, and why? take the positive direction to be downward.

Answers

's' increases at all times that Rock X falls since Rock X falls with a greater velocity than Rock Y.

What is a frictional force?

The friction force is the opposite force generated when two parts slide over each other if the air is passing over the rocks the frictional force would be the drag force.

Given: Frictional forces are considered to be negligible.

A few seconds after Rock X is released from rest, Rock Y is also released. Consider moving downward to be constructive. Both rocks are launched from rest, thus their initial velocities are equal to zero (u = 0).

We know that the velocity is given by,

v² = u² + 2as

Rock X is released first, followed by Rock Y, and because Rock X travels faster than Rock Y, it travels farther. This is due to the fact that whenever Rock X has already acquired some velocity (t).

Its velocity (v) is higher, increasing the spacing (s). In conclusion, because Rock X falls faster than Rock Y,'s' rises each time Rock X hits the ground.

The complete question is given below:-

Rock X is released from rest at the top of a cliff that is on Earth. A short time later, Rock Y is released from rest from the same location as Rock X. Both rocks fall for several seconds before landing on the ground directly below the cliff. Frictional forces are considered to be negligible. After Rock Y is released from rest several seconds after Rock X is released from rest, what happens to the separation distance S between the rocks as they fall but before they reach the ground, and why? Take the positive direction to be downward.

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Calculate the mass of a wind turbine blade with a kinetic energy of 1 MJ Turning at 6m/s

Answers

The calculated mass is 5.5*10⁴ g.

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 energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

K.E = 1/2 mv²

1 MJ= 10⁶ J

10⁶=1/2 m * 6*6

10⁶*2=m*36

m= 5.5 *10⁴ g

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The average bond dissociation energy of a carbon-carbon bond is 410 kj/mol. What wavelength in nanometers of ultraviolet radiation has an energy of 410 kj/mol?.

Answers

The average bond dissociation energy of carbon-carbon bond is 410 kj/mol. 292 wavelength in nanometers of the ultraviolet radiation has an energy of 410 kj/mol.

What do you mean by wavelength?

The distance between the two successive crests or troughs of wave is known as its wavelength. It is measured in wave's direction.

The distance wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or the any other wave). Wave's crest is its highest point, while its dip is the lowest. Since wavelength is a measure of both the distance and length, it is expressed in the length units such meters, centimeters, millimeters, and nanometers.

Wavelength of light varies with the colors, i.e., it is different for the every color. Red color has the longest wavelength while violet has least. The wavelength of the UV radiation is shorter than the violet light. Similarly, the wavelength of the infra red radiation is longer than the wavelength of red light.

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a force vector f has a magnitude of 12.0 n. it is oriented 60° to the left of the y ax what are its x and y components?

Answers

The  force vector that has a magnitude of 12.0 N. and is oriented 60° to the left of the (y) has the followings components:

v(x) =6 Nv(y) = 10.39 N

To solve this exercise the formulas and procedures we will use are:

v(x) = v * cosine (angle)v(y) = v * sine (angle).

Where:

v= magnitude of the vectorv(x) = component of the vector on the (x) axisv(y) = component of the vector on the (y) axisangle = angle

Information about the problem:

angle = 60ºv = 12.0 Nv(x)= ?v(y)= ?

Applying the formula of the component of the vector in the (x) axis we have:

v(x) = v * cosine (angle).

v(x) = 12.0 N * cosine (60º)

v(x) =6 N

Applying the formula of the component of the vector in the (y) axis we have:

v(y) = v * sine (angle)

v(y) = 12.0 N * sine (60º)

v(y) = 10.39 N

What is a vector?

It can be said to be a straight line described by a point (a) and (b) that has direction and sense.

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What determines how long a projectile that has been launched from ground level is in the air?.

Answers

Basically what determines how long a projectile that has been launched from ground level is in the air are: the initial velocity and the effect of the force of gravity.

The time of flight of a projectile is defined by the following equation:

t(of)=2*t max

Where:

t(of) =  time of flightt max = time to reach maximum height

The maximum time is defined by the following equation:

t max = v₀/ g

Where:

v₀ = initial velocityg = gravity

That means that the higher the initial launch velocity, the longer the projectile will be in the air.

What is vertical launch upwards?

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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if a ball is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by y

Answers

The ball  that is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by the following equation:

y=44 ft/s * t - (32.17 ft/s² * t²/2)

The height in (ft) at a time (t) of a body that has been thrown with a certain velocity and is in vertical motion is given by the following equation:

y = vi * t - (g* t²/2)

Where:

y = heightvi = initial velocityg = gravityt = time

Information about the problem:

vi = 44 ft/sg = 32.17 ft/s²y =?t = t

Applying the height formula we get:

y = vi * t - (g* t²/2)

y = 44 ft/s * t - (32.17 ft/s² * t²/2)

What is the vertical upward launch?

It is the movement described by an object that has been thrown vertically upwards in which the height and the effect of the force of the earth's gravity on the thrown object are considered.

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Because most particles fired at metal foil passed straight through, rutherford concluded that.

Answers

Because most particles fired at metal foil passed straight through, Rutherford concluded that only a small area of an atom is positively charged called the nucleus.

In 1911, Rutherford's atomic model rejected J.J Thomson's model with his famous metal foil experiment.

According to Rutherford's atomic model, an atom is the smallest particle having a core nucleus.

It can not be further disintegrated and it is composed of other fundamental objects i.e. electrons, protons, and neutrons.

In the core of an atom, there is an extremely dense, minute object called the nucleus which contains positive charges, and around it, electrons revolve in circular paths called orbitals.

To put it simply, this model suggests that when electrons interacted with gold metal foil, most particles changed their path after colliding with the massive dense nucleus.

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identify the statement that is true about the big bang. a. it began with all matter and energy concentrated in an infinitesimally small point. b. the big bang theory states that at the instant of explosion, atoms of all major elements came into existence. c. it is the explanation for how our solar system developed. d. it occurred less than 13 million years ago.

Answers

The big bang theory states that at the instant of explosion, atoms of all major elements came into existence.

What is explosion?

A blast is a fast development in volume related with a very energetic outward arrival of energy, normally with the age of high temperatures and arrival of high-pressure gases. A blast is an unexpected, vicious difference in likely energy to work, which moves to its environmental factors as a quickly moving ascent in pressure called an impact wave or shock wave. The shock wave can cause significant harm. A blast is an unexpected, rough difference in likely energy to work, which moves to its environmental elements as a quickly moving ascent in pressure called an impact wave or shock wave.

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How many significant digits are in the measurement 0.00210 mg?

Answers

Given the number 0.00210, only the last 210 digits are considered significant. Therefore, the specified number has 3 significant digits.

The significant or significant digits that convey meaning depending on its precision is know as significant digits of a given number .For example, 8.642 has 4 significant digits. These substantive digits give precision to numbers. Also called significant digits.    

All non-zero digits are valid. 136145 has 6 significant digits.

All zeros between two non-zero digits are valid. For example, 885.0085has 7 significant digits.

All zeros to the right  and to the left of non-zero digits of the decimal point are never significant. For example, 0.00897 contained 3 significant digits.

the decimal point are significant, All zeros to the right only if not followed by non-zero digits. For example, 50.00 has 4 significant digits.

The last non-zero and all zeros to the right of decimal place are valid. For example, 0.0045700 has 5 significant digits.

The last non-zero digit , all zeros to the right of are valid if they come from the measurement.

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Newton's fist law is just about what happens if no force is applied.

O True
O False

Answers

Answer:

True

Explanation:

Answer:TRUE

Explanation:

If Michael Jordan has a vertical leap of 4.62 m, then what is his takeoff speed? Assume his acceleration would only be gravity and at his highest point he would be moving 0 m/s. (TWO decimal places and POSITIVE)

Answers

Takeoff speed will be 9.52 m/s

Given,

Vertical leap = Distance covered, S = 4.62 m

According to the Third Equation of Motion which relates Initial and final velocities with the distance and acceleration, we can say that

[tex]v^{2} = u^{2} + 2as[/tex]

v = 0 m/s (final speed)

a = g = -9.81 m/s² ('a' is taken negative because acceleration is acting towards the ground)

S = 4.62 m

So according to the equation,

u² = - 2 * (-9.81) * 4.62

u² = 90.644

[tex]u = \sqrt{90.644}[/tex]

u = 9.52 m/s

Therefore the initial speed or the takeoff speed of Michael Jordan for the Vertical leap of 4.62m will be 9.52 m/s.

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The legal highway speed limit in colorado is 75 miles per hour. What is this in kilometers per hour?

Answers

1 mile per hour =
1.609 kilometres per hour

75 miles per hour =
120.701 km/h

hich of the following is a pointing device that can be useful if you have very limited space on your desk?

Answers

Common pointing devices used to control screen movement include computer mouse, touch pads, touch screens, graphics tablets, and trackballs. Some of these devices, such as mic and joysticks, can be added to the computer system according to your needs.

Pointing device is a general term for any device used to control cursor movement on a computer screen.

For desktop computers, the most common pointing device is the computer mouse. A touchpad is the most common pointing device on laptop computers. Finally, the most common pointing device on smartphones and tablets is the finger on the touchscreen.

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Two types of spiral galaxies exist. A normal spiral galaxy is one kind. Which phrase best describes the second type of spiral galaxy?.

Answers

The option 4 best describes the second type of spiral galaxy.

In a spiral galaxy, the revolving disc is surrounded by spiral 'arms' that extend outward from a compact center area. With yellowish bulges in the middle, spiral galaxies look as flat, blue-white disks of stars, gas, and dust.

These galaxies are classified into two types: regular spirals and barred spirals.

Regular spiral galaxies have a complicated structure: a large central bulge at the center of a revolving disc with a spiral structure that originates at the bulge. Spiral galaxies are encircled by sparsely populated halos, which are approximately spherical areas above and below the plane of the discs. In contrast to regular spiral galaxies, barred spirals have arms that link to the two ends of a straight bar of stars that has a nucleus at its center.

Thus, option 4 best describes the second type of spiral galaxy.

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Two types of spiral galaxies exist. A normal spiral galaxy is one kind. Which phrase best describes the second type of spiral galaxy?

is football-shapedis irregularly shapedhas arms that start close to the centerhas a bar through the middle from which arms extend

The formulation of kepler's laws of planetary motion relied on the data and observations of which scientist other than kepler?

Answers

The formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe

Kepler's laws of planetary motion are as follows:

The Planets orbit in an elliptical orbit with sun as its focus.A planet whichever position in its orbit it may be present, it covers the same area in space in the same amount of time.The time taken by a planet to complete one rotation is proportional to the size of the orbit.

Tycho Brahe used a telescope to propose a model in which the planets orbit around the sun but the sun orbits the Earth in elliptical orbits. This provided a clear idea for Kepler about the position of planets.

Therefore, the formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe

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A glass slab of density 2500kg/m3 measures 20cmx10cmx50cm what is maximum pressure​

Answers

Answer:

A =150

I think it will help you bro

use the data from the table to calculate the average velocity for the car to one decimal place

Answers

In the given question, we can infer from the table that the average velocity for the car upto one decimal place is 7.3 m/s.

Velocity is defined as the ratio of Displacement of a body to the time it has take for the displacement. We can find the average velocity but adding up all the velocities and then divide it by number of occurrences. Using the data, after adding up all the average velocities, we get the value as 87.497 m/s. As the number of velocities are 12, we divide the total velocity by 12 and fing the mean velocity. The mean or average velocity is : 87.497 / 12 = 7.291416. Upto one decimal place, we get the value as 7.3 m/s.

Hence the average or mean velocity from the given data is 7.3 m/s

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In a certain experiment, a filament in an evacuated lightbulb carries a current I₁ and you measure the spectrum of light emitted by the filament, which behaves as a black body at temperature T₁ . The wavelength emitted with highest intensity (symbolized by λmax) has the value λ₁ . You then increase the potential difference across the filament by a factor of 8 , and the current increases by a factor of 2 .(i) After this change, what is the new value of the tempera-(ii) What is the new value of the wavelength emitted with highest intensity? (a) 4 λ₁ (b) 2λ₁ (c) λ₁ (d) 1/2 λ₁ (e) 1/4 λ₁

Answers

The new value of the temperature is T₂ = 2T₁ and the new value of the wavelength with the highest intensity is λ₂ = (1/2) λ₁.

Using Stefan's equation, which states that the power of the emitted radiation will be proportional to the fourth power of the absolute temperature, we treat the filament of the evacuated light bulb as a black body.

P = σ AeT⁴

Where Ais the surface area of the emitter, σ is Stefan's constant, and e is the emissivity of the surface.

Now, from Stefan's Law, the radiated power is proportional to the fourth power of temperature.

P =IV

IV ∝ T⁴

Therefore,

I₁ V₁ / (I₂ V₂) = (T₁ / T₂)⁴

T₁ / T₂ = (I₁ V₁ / I₂ V₂)^{1/4}

T₂ = T₂ [ (I₁ V₁ / I₂ V₂)^{1/4} ]

Now we have,

I₂ = 2I₁ and

V₂ = 8V₁

Therefore,

T₂ = T₁ [ (2I₁ )(8V₁)/(I₁ V₁) ]^{1/4}

T₂ = T₁ (16)^{1/4}

T₂ = 2T₁

Let λ₁ be the wavelength emitted with the highest intensity initially and λ₂ be the wavelength emitted with the highest intensity after the change.

Then by Wiens law:

λ₁ T₁ = λ₂ T₂

λ₁ T₁ = λ₂ (2T₁)

λ₂ = (1/2) λ₁

Therefore, the new value of the wavelength is 1/2 λ₁.

The correct option is (d).

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