what behavior is mostly strongly associated with introversion in a personality.

The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

What is the deflection angle?

A deflection angle is an angle between the onward extension of the previous leg and the line ahead.

Here,

deflection angle as laser enters the beam, B = 22.6º

refraction index of glass, n1= 1.52

refraction index of polystyrene plastic, n2 = 1.59

for the second surface,

B  = 45º - 22.6º

B  = 22.40º

According to Snell's law:

n1 sinФ1 = n2 sinФ2

sin B / sinФ = n1 / n2

sinФ = (sin 22.40º) * ( 1/ 1.59)

Ф = 37.29º

Thus,

The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

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The rate with which the energy stored in the inductor is increasing at 6 Joule/s.

To find the answer, we need to know about the rate of change of energy in inductor.

= 6 Joule/s

Thus, we can conclude that the rate of increasing energy is 6 Joule/s.

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Compression is the term for the reduction in volume that stress causes in any object or material. Living systems as well as solids, liquids, and gases may all endure compression. For example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the standard for deep-sea fishes and similar specialized forms is the normal pressure of their environment. In the latter, compression is measured against the system's volume at the standard pressure to which an organism is subjected.

The angle of projection is θ = 53°

R = 3H

R = v²sin2θ/g   = 2v²sinθcosθ/2 = 3v²sin²θ/2g

    tan θ = 4/3

     θ = 53°

So,  the angle of projection is   θ = 53°

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The speed of the airplane, v is 144.2 m/s

The height, H of the roof above the head of the man is 66.4 m.

The speed of the airplane is determined using the Pythagoras theorem.

The speed of the airplane, v is calculated as follows:

v = √(80² + 120²0

v = 144.2 m/s

The height, H of the roof above the head of the man is calculated as follows:

tan 38° = H/85

H = tan 38° * 85 m

H = 66.4 m

In conclusion, the tangent ratio is used to find the height of the roof above the head of the man.

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Atomic radius of this metal is 0.85 x 10^23

Given:

density of metal = 7. 24 g/cm3

metal has the bcc crystal structure

atomic weight = 48. 9 g/mol

To Find:

atomic radius of this metal

Solution: Atomic radius is defined as half the distance between the centers of two neighboring atoms. the atomic radius of a simple cube and hcp is a/2 respectively, whereas it is a√2/4 and a√3/4 for fcc and bcc respectively.

density = Z x M/N• x a^3

a = edge length

Z = 2 atoms = numeber of atoms per unit cell

N• = 6.023 x 10^23 atoms/mol = Avogadro's number

a^3 = density x N•/Z x M

a^3 = 7.24 x 6.023 x 10^23/ 2 x 48. 9

a = 3√0.44 x 10^23

a = 1.98 x 10^23

4R = √3a

R = √3 x 1.98 x 10^23/4

R = 0.85 x 10^23

Atomic radius of this metal is 0.85 x 10^23

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A. The height above the ground reached by the mass is 2.3 m.

P.E = mgh

where;

h = P.E/mg

h = (342)/(15.2 x 9.8)

h = 2.3 m

Thus, the height above the ground reached by the mass is 2.3 m.

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Cart A has the greatest momentum.

The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. Mass and velocity are two factors that affect momentum. According to an equation, an object's momentum is determined by multiplying its mass by its velocity.

                                                        p = mv

p = momentum

m = mass

v = velocity

Cart A

m₁ = 200 kg

v₁ = 4.8 m/s

p₁ = 200 × 4.8

p₁ = 960 kg-m/s

Cart B

m₂ = 200 + 20 = 220 kg

v₂ = 4 m/s

p₂ = 220 × 4

p₂ = 880 kg-m/s

Cart C

m₃ = 200 + 40 = 240 kg

v₃ = 3.8 m/s

p₃ = 240 × 3.8

p₃ = 912 m/s

Cart D

m₄ = 200 + 60 = 260 kg

v₄ = 3.5 m/s

p₄ = 260 × 3.5

p₄ = 910 kg-m/s

Hence concluded, cart A has the greatest momentum.

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Plotting what is referred to as an H-R diagram for the stars in the cluster is part of the process in which the astronomy student will follow in this type of scenario.

This is referred to as the Hertzsprung–Russell diagram and is a scatter plot which depicts the relationships between stars' absolute magnitudes versus their effective temperature. It can also be inferred that the higher the luminosity of a star, the higher the temperature and vice versa.

This helps to depict stellar evolution as a result of the features used as parameters such as the life cycle as an older star will be less luminous when properly studied by people hereby making it easier to estimate the age of stars.

This therefore the reason why plotting a Hertzsprung–Russell diagram is very important.

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The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).

Contract manufacturing or production occurs when a small business hires another company to produce its products.

This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.

However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.

Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.

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When amplitude of motion increases to 2a the time period remains the same.

The formula for spring mass system is given by

                          T = 2π√m/k

 where,            k = spring constant

                         m= mass of spring

                         T = time period

So, from here we get to know that time period is independent of amplitude, so we increase or decrease the amplitude of system there will be no effect on Time period of spring mass system.  

Thus, when amplitude of motion increases to 2a the time period remains the same.  

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Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the faster it is moving away from us.

Hubble ultimately demonstrated that, contrary to the widely accepted belief that the universe is static, galaxies are actually moving away from us. Hubble noticed that the light appeared to be shifted toward the red end of the spectrum by observing the light coming from distinct galaxies.

Hubble made the amazing discovery that a galaxy's redshift exactly correlated with its distance from the earth. That implied that objects farther from Earth were dispersing more quickly. To put it another way, the cosmos must be growing. In 1929, he made his discovery public.

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3, 1, 2, 4 is the arrangement according to their comet's tail.

The length of a comet's tail depends primarily on the comet's distance from the sun. It is longer when the comet is closer to the sun and shorter or (Negligible) when the comet is farther from the sun.

Due to sunlight's radiation pressure, the comet's tail will always point away from the sun. Small dust particles are pushed away from the sun by sunlight with a stronger force than by gravity pulling them in the opposite direction. As a result, a comet's tail streams behind the nucleus during its inbound transit, but it streams in front of the nucleus during its outbound passage back to the outer solar system. Typically, gas jets produced by thawing frozen volatiles expel dust particles from a comet's surface.

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The work done by friction to move the sled is  - 1,323 J.

Solution:

Given that

Coefficient of friction (µ) = 0.10

Mass (m) = 90kg

distance covered (d) = 30m

We use the formula:

friction work = -µmgdcos∅

friction work = -0.100 × 90 kg × 9.8 m/s² × 30 m × cos 60°

friction work = - 1,323 J

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The minimum initial velocity of the rock is V = 8.56 m/sec.

According to the rule of conservation of energy, energy can only be transformed from one form of energy to another and cannot be created or destroyed. This indicates that unless energy is added from the outside, a system always has the same quantity of energy.

Calculate the rock's minimal initial velocity in meters/second as it exits the slingshot at a distance of 6 feet [tex]$\left(h_{2}=6\right.ft.)[/tex] above the ground.

Using the provided information, the net height of the limb is calculated as shown below.

[tex]$$h &=h_{1}-h_{2}$$[/tex]

h = 18.3 - 6

h = 12.3

Now, using the conservation of energy the minimum initial velocity of the rock is computed as shown below,

Kinetic energy of the rock = Potential energy the rock

[tex]$$\begin{aligned}\frac{1}{2} m V^{2} &=m g h \\\frac{1}{2} V^{2} &=g h \\\frac{1}{2} V^{2} &=\left(32.1 \mathrm{ft} / \mathrm{s}^{2}\right)(12.3 \text { feet }) \\V &=\sqrt{2\left(32.1 \mathrm{ft} / \mathrm{s}^{2}\right)(12.3 \mathrm{feet})}\end{aligned}$$[/tex]

V = 28.10 [tex]\frac{ft}{s}[/tex].

The minimal initial velocity in meter/second is 8.56.

Therefore, the minimum initial velocity of the rock is 8.56 m/sec

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Frank is correct because light travels through diamond at  the slowest speed, and speed and frequency have an inverse  relationship .

Lisa is correct because  light travels through air at the fastest speed of ,and speed and frequency have a direct relationship .

Neither  Frank nor Lisa  is correct because light  does not change frequency when it travels through different media .

Both Frank and Lisa are correct because light has both inverse and a direct relationship with frequency ,depending on the type of media .

Neither of the two is correct because light does not change frequency when it travels through different media .

Disclaimer :The question given on the portal is incomplete .Here is the complete question .

Question :Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements?

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Answer:

» (a)

Explanation:

Velocity is the rate of change in displacement.

[tex]{ \rm{velocity = \frac{ \triangle displacement}{time} }} \\ [/tex]

The change from one position to another is displacement or distance between the points.

[tex] = { \rm{ \frac{22000}{200} }} \\ \\ = { \tt{110 \: m {s}^{ - 1} }}[/tex]

There will be no reaction force acting on the object

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

The motion of a free falling object can be described by Newton's second law of motion,

Force (F) = mass * acceleration

a = F / m

The net external force is just the weight of the object (F = W).

Substituting into the second law equation gives:

a = W / m = m * g / m = g .

The acceleration (change of velocity) of the object then becomes the gravitational acceleration.

On freely falling body their is no normal acting on that object

hence , there will be no reaction force acting on the object

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The emf in the coil when the magnetic field is 50.0 mT is 31.78 V.

What is emf?

According to Faraday's law of electromagnetism, the emf of a coil  

is the negative of the rate of change of magnetic flux with respect to time.

The emf of a coil is given by the formula,

[tex]E=-\frac{d\phi}{dt}[/tex]

where E is the emf, dΦ is the change in flux and dt is the change in time.

Magnetic flux: The scalar product of the magnetic field B and the total area vector A perpendicular to it is called the magnetic flux. The magnetic flux for a circular coil with n number of turns is given by,

[tex]\phi=n\pi r^2B[/tex]

where r is the radius of the coil.

Substitute [tex]\phi=n\pi r^2B[/tex] in the above equation and solve it.

[tex]E=-\frac{d(n\pi r^2 B)}{dt}\\E=-n\pi r^2 \frac{dB}{dt}[/tex]

Where dB/dt is the rate of change in the magnetic field with respect to time.

Note: 1mT/ms= 1 T/s, 1 cm= 0.01 m and 1mT=0.001 T

Given the magnetic field changes from 10.0mT to 80.0mT, the change in magnetic field dB = 80-10=70mT. The time interval dt= 20.0ms. Therefore,

dB/dt = 70/ 20 =3.5mT/(ms)

dB/dt = 3.5 T/s

Substitute dB/dt= 3.5T/s,  n=400, r=8.5 cm or r=0.085 m in the formula of E and solve it. Since the value of magnitude is positive, ignore the negative sign.

E=400*π*(0.085)^2*(3.5)

E=31.78 V

Since the rate of change of magnetic field is constant, so the magnitude of the emf of the coil will remain the same at all instants. Hence E=31.75 V when the magnitude of the magnetic field is 50.0 T

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The magnitude is 5.69 × 10^4  N/C and the direction is  opposite to the acceleration of electron.

Equation of force on a charge is -

                F = ma

→             qE = ma

The acceleration of an electron is 1.201016 m/s².

→         E =  ma/q

  plug in the values

          E = 9.11 × 10^-31 kg × 1×10^16 m/s² i / -1.6 × 10^-19 C

          E = 5.69 × 10^4  N/C   (-i)

so, magnitude is 5.69 × 10^4  N/C  and field is along negative x-axis

Thus, it has opposite direction to the acceleration of electron.

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Answer: Pairs of conductors carrying current into or out of the power-supply components of electronic equipment are sometimes twisted together to reduce magnetic-field effects. This is for reducing the area of the loop and hence reducing the inductance and suffer less interference or improving electromagnetic compatibility.

Explanation:  To find the answer, we need to know more about Twisted pairs.

Thus, we can conclude that, the twisted pairs are used for reducing the area of the loop and hence reducing the inductance and suffer less interference or improving electromagnetic compatibility.

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An interstellar spacecraft, far from the influence of any stars or planets, is moving at high speed under the influence of fusion rockets when the engines malfunction and stop. The spacecraft will keep moving forever at the same speed.

Interstellar travel refers to the idea of interstellar probes or crewed spacecraft moving between stars or planetary systems in a galaxy.

here, An interstellar spacecraft, far from the influence of any stars or planets, is moving at high speed.

According to Newton’s first law:

Since here there is no external force present,

Therefore the spacecraft will keep moving forever at the same speed.

Thus,

from the above observation we conclude that,

option (D) is correct

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The free-fall acceleration on the second planet is one-fourth the value of the first planet.

Calculation:

Consider the mass of planet A to be, M

               the mass of planet B to be, Mₓ = M

               the radius of planet A to be, R₁

               the radius of planet B to be, R₂

The acceleration due to gravity on planet A's surface is given as:

g = GM/R₁²      - (1)

Similarly, the acceleration due to gravity on planet B's surface is given as:

g' = GM/R₂²                           [where, R₂ = 2R₁]

   = GM/4R₁²    -(2)

From equation 1 & 2, we get:

g/g' = GM/R₁² ÷ GM/4R₁²

g/g' = 4/1

Thus we get,

g' = 1/4 g

Therefore, the free-fall acceleration on the second planet is one-fourth the value of the first planet.

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To correct the error in the diagram, we need to change +2Q to +Q in order for the charges to become balanced. Option A

A capacitor is  device that is used for storing electric charge. We know that the capacitor is composed of two conductors separated by an insulator.

In order to correct the error in the diagram, we need to change +2Q to +Q in order for the charges to become balanced. Option A

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Answer:

A

Explanation:

One similarity in the spectra of T dwarf stars and giant planets in our solar system is that their spectra show: "Indications of methane"

The solar system is made up of planets, moon, asteroids, comets, dust, and gas that revolve around the sun, which is our nearest star.

It consists of the giant planets Jupiter and Saturn, the ice giant Uranus and Neptune, and the rocky core planets Mercury, Venus, Earth, and Mars.

Some key points of solar system are-

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Critical heat flux of forced convective boiling in uniformly heated vertical tubes with special reference to very large length-to-diameter ratios.

The rate of heat energy moving through a surface is known as heat flux, and the heat flux density is the amount of heat flux per unit area (Wm2).

Temperature measurements are a key component of many industrial systems. Measurements of heat flux and heat transfer provide more details. A heat flow typically occurs in conjunction with a change in temperature. A clearer picture of what's happening can be obtained by measuring both quantities.

The amount of thermal energy emitted over a solid surface is known as heat flux, and its unit is W/m2. There are two methods for measuring heat flux. Either directly utilizing heat flux sensors or indirectly using temperature sensors

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answer

so unit of velocity is m/s

displacement=600m

5minutes should be converted to seconds

5×60=300 seconds

so,

velocity= displacement÷time

= 600m ÷300s

=2m/s or 2ms^-1

Answer:

2 m/s

Explanation:

we have given

distance traveled by body =600m

time taken = 5*60 =300 sec( si unit of time is second)

velocity =?

we know that

velocity =distance traveled/ time taken

=600/300

= 2 m/s

A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with MOLAP.

A multidimensional database offers the capacity to swiftly process records and generates answers quickly. MDBs allow customers ask questions about agencies' operations and traits.

The multidimensional databases employ MOLAP (multidimensional on line analytical processing) to get entry to its records. They allow the customers to speedy get solutions to their requests through producing and studying the information as a substitute speedy. The information in multidimensional databases is saved in a statistics dice layout.

In a dimensional database, you've got rows and columns, represented by way of X and Y. In a multidimensional database, you've got were given X, Y, Z, etc. depending on the number of dimensions to your statistics. below is an example of a 3-Dimensional information Array represented in a relational desk and in three-D.

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B. The amount of work done by the worker on the wheelbarrow is 250 J.

The amount of work done by the worker on the wheelbarrow is calculated as follows;

W = Fd

where;

W = 50 x 5

W = 250 J

Thus, the amount of work done by the worker on the wheelbarrow is 250 J.

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