A stone that is thrown vertically upwards was having a velocity of 15m/s after reaches 2/3 of its maximum height. What is the maximum height that can be reached by the stone?

A. 9.8m
B. 11.5m
C. 22.9m
D. 34.4m​

Answers

Answer 1

The correct answer is option B. The maximum height that can be reached by the stone is determined as 11.5 m.

Maximum height attained by the stone

The maximum height attained by the stone when it is a 2/3 of its total height is calculated as follows;

v² = u² - 2gh

where;

v is final velocity at maximum height, v = 0u is initial velocityg is acceleration due to gravity

0 =  u² - 2gh

2gh =  u²

h =  u²/2g

h = (15²)/(2 x 9.8)

h = 11.48 m

h = 11.5 m

Thus, the maximum height that can be reached by the stone is determined as 11.5 m

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Related Questions

Which best explains the forces acting on the objects?

Objects W and X have balanced forces, and objects Y and Z have unbalanced forces.
Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.
Objects X and Y have balanced forces, and objects W and Z have unbalanced forces.
Objects X and Z have balanced forces, and objects W and Y have unbalanced forces.

Answers

The option that best explains the forces acting on the objects is that option b. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.

How do you know if forces are balanced or unbalanced?

When the motion of an object is said to be altered, the forces are known to be in a sate that is seen as unbalanced.

Note that  Balanced forces are said to be one that are equal in size and also opposite in direction.

Hence, if forces are balanced, there is no alteration in motion and it is seen in cases if a person is pushed or pulled on an object that is seen from opposite directions but also has the same force.

Therefore, The option that best talks about the forces acting on the objects is that option b. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces as it does better justice to it.

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If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.

a. true
b. false

Answers

If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. It is a true statement .

Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.

According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy.

According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved i.e., the energy can neither be created nor be destroyed; it can only be internally converted from one form to another if the forces doing work on the system are conservative in nature.

since, potential energy is stored in the form of work done

Work done = Fs cos (theta)

If force always acts perpendicular to an object's direction of motion

theta =   90 °

cos (90 ) = 0

Work done  = 0

since , there is no work done , hence kinetic energy will not change

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Give one example of a thermodynamic cycle that does not account for the carnot efficiency.

Answers

Thermo-Electrochemical converter (UTEC) is a thermodynamic cycle that does not account for the Carnot Efficiency.

What is the Carnot cycle in thermodynamics?

An ideal closed thermodynamic cycle that is reversible and consists of the four steps of isothermal expansion to a desired point, adiabatic expansion to a desired point, isothermal compression, and adiabatic compression back to the starting state.

What is the purpose of Carnot cycle?

The Carnot cycle, first proposed by the French engineer Sadi Carnot in the early 19th century, is the optimum cyclical sequence of changes in pressure and temperature of a fluid, such as a gas utilized in an engine. It serves as a benchmark for all heat engines operating in the range of high and low temperatures.

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Calculate the wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s

Answers

The wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s will be  0.197 * [tex]10^{-12}[/tex] m

De Broglie wavelength is an important concept while studying quantum mechanics. The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. A particle's de Broglie wavelength is usually inversely proportional to its force.

momentum (p) = mv

DE Broglie wavelength = lambda = h / p

where

h = plank's constant

m = mass of electron

v = velocity of electron

lambda = h / mv

            = 6.633 * [tex]10^{-34}[/tex] / 9. 11 × [tex]10^{-28}[/tex] *  3. 66 × [tex]10^{6}[/tex]

            = 0.197 * [tex]10^{-12}[/tex] m

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What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice?

Answers

What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).

What is national provider identifier (NPI)?

A National Provider Identifier is a unique 10-digit identification number issued to health care providers in the United States by the Centers for Medicare and Medicaid Services.

What is block 24j?

The box 24j Shaded is used to identify the non-NPI if indicated by a qualifier in 24i.

The box 24j displays the NPI of the Rendering Provider.

Thus, what is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).

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Which is expected to happen during El Niño?
A) Drought conditions in Australia
B) Cool temperatures in the equatorial Pacific
C) An increase in the pressure gradient
D) Unusually high fish yields in Peru

Answers

A. Drought conditions in Australia are expected to happen during El Niño.

What is El Nino?

El Niño is a normal cycle occurrence of a change in temperatures on the surfaces of the central equatorial, and east equatorial waters of the Pacific Ocean.

The result of this phenomenon which changes the weather condition taking place on the surfaces of the Pacific Ocean is a change in the climate temperatures around the globe, and also the development of weather changes that will affect different parts of the world in different ways.

Hence, drought conditions are a period of time when an area or region experiences below-normal precipitation and El Nino's normal cycle's occurrence changes temperature.

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A 4. 137-m long pipe is in a room where the temperature is 16. 164 oc. what is the frequency of the third harmonic if the pipe is closed at one end?

Answers

The frequency of the third harmonic if the pipe is closed at one end is = 102.93  Hz.

How can we find the frequency of the third harmonic if the pipe is closed at one end?

To find the frequency of the third harmonic if the pipe is closed at one end, we use the formula,

[tex]f_{n} =nf_{1}[/tex]=[tex]n\frac{v}{4L}[/tex]  , in this case n= 1,3,5,7,9.....

Here we are given,

L= The length of the pipe = 4.137 m.

v= speed of the sound at 16.164°C .

[tex]v_{0}[/tex]= speed of the sound at 0°C.=331 m/s

Before finding the frequency we have to find the speed of the sound at 16.164°C. To find v, we are using the formula,

[tex]v=v_{0 } \sqrt{\frac{T_{2} }{T_{1} } }[/tex]=[tex]331\times \sqrt{\frac{(273+16.164) }{273 }[/tex]=340.65 m/s.

We have to find the frequency of the third harmonic, so according to the question, n=5

Now we put the known values in the first equation, we can find that

[tex]f_{n}=n\frac{v}{4L}[/tex]

Or,[tex]f_{n} = 5\times\frac{340.65}{4\times 4.137}[/tex]=102.93 Hz.

Therefore, from the above calculation we can conclude that if the pipe is closed at one end the frequency of the third harmonic is 102.93 Hz.

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what are the importance of wedge?

Answers

A wedge is a machine and it is used for separating bodies.

The Wedge as a Machine

The wedge is a combination of two inclined planes. When the wedge is driven into a body by an effort force, a much larger force will be exerted to each side by the wedge surfaces.

What are the importance of wedge?

A wedge is used to separate bodies which are held together by large forces example of this scenario is splitting of timber. A wedge is a machine and the example of wedge - type of machine are;

AxesChiselKnivesCutting tools

Note that a thin wedge has a higher mechanical advantage than a short thick one.

Therefore, a wedge is a machine and it is used for separating bodies.

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Describe the usefulness or inconvenience of frictional force by turning a door knob.

Answers

The cylinder is pulled in the direction of the knob's turn. If the knob is not twisted, a latch at the end of the cylinder that extends into a recess in the doorframe stops the door from being opened.

What is Frictional force ?

The opposing force that is produced when two surfaces attempt to move in the same direction or in opposite directions is known as frictional force. A frictional force is primarily intended to produce resistance to the mobility of one surface over another.

Between solid surfaces, there is friction that is static, sliding, and rolling. The three types of friction are ranked from strongest to weakest: rolling, sliding, and static. Fluids experience fluid friction, which is liquid or gaseous.

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How do the current and coltage readings compare to before the wires were switched. Explain how to interpret them physically?

Answers

The potential difference between two locations in an electric circuit is measured using a voltmeter.If the electricity passes through the voltmeter it shows deflection.

What is the purpose of a voltmeter?A voltage meter, usually referred to as a voltmeter, is a device that measures the voltage, or potential difference, between two points in an electrical or electronic circuit.volts is the unit of voltmeter(volts, millivolts, kilovolts)

What is the explanation for the link between current and voltage?Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant.

What is ohm's law in circuit?V = IR, where V is voltage, I is current, and R is resistance, is known as Ohm's Law. If you know the voltage of the battery in the circuit and how much resistance is in the circuit, you may use Ohm's Law to identify properties of a circuit, such as how much current is flowing through it.

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Select the correct answer. which of these is a scalar quantity? a. acceleration b. displacement c. length d. velocity

Answers

Answer:

length

Explanation:

An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is ____.

Answers

An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is 120

A telescope that is intended for seeing celestial bodies and does not need an image-erecting device is anastronomical telescope. While terrestrial telescopes are used to examine faraway objects on earth, astronomical telescopes are used to observe distant stars and planets.

While the final image in the terrestrial telescope is upright, the final image in the astronomical telescope is inverted.  Telescopes gather and enlarge the light coming from far-off objects. Observing things in the night sky presents challenges since they are so far away and, as a result, appear so dim. We can see these things more clearly the more light a telescope can gather.

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current is passed through two parallel conductors in the same direction. If the conductors are placed near each other,they will​

Answers

If current is passed through two parallel conductors in the same direction and the conductors are placed near each other, they will​ attract each other.

What is electric current?

Electric current can be defined as the flow of electrons.

Since electrons are easily removed from atom and are very mobile, the flow of electrons constitute an electric current.

Materials which allow electric current to flow through them are known as conductors. Examples of conductors are metals, and electrolytes.

On the other hand, materials which do not allow electric current to pass through them are known as insulators. Examples of insulators are wood and rubber.

The flow of current is known as electricity.

Parallel conductors with current flowing through them in the same direction are attracted to each other as a result of a magnetic field produced by the flow of current.

In conclusion, conductors allow electric current to pass through and the flow of current through a conductor produces a magnetic field.

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When a metal is illuminated by light, photoelectrons are observed provided the light's wavelength is less than 669 nm. What is the metal's work function (also called the binding energy)?

Answers

When a metal is illuminated by light, photoelectrons are observed provided the light's wavelength is less than 669 nm. The work function will be 0.030 * [tex]10^{-17}[/tex] J

The work function (or work function) is defined as the minimum amount of thermodynamic work (i.e. energy) required to remove an electron from a solid to a point in the vacuum immediately outside the solid surface.

When light of suitable frequency falls on a metal surface, electrons are emitted. These photo (light) generated electrons are called photoelectrons

h = 6.62 x [tex]10^{-34}[/tex] J/Hz

c = 3 * [tex]10^{8}[/tex] m/s

lambda = 669 * [tex]10^{-9}[/tex] m

work function = h*c/lambda

                       = 6.62 x [tex]10^{-34}[/tex]  * 3 * [tex]10^{8}[/tex] /  669 * [tex]10^{-9}[/tex]

                       = 0.030 * [tex]10^{-17}[/tex] J

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Q.9 And Q.10 correct answer with explaination

Answers

The option c will be correct in Q10.            

What is angular velocity?

Time rate at which an object rotates about axis or at which angular displacement between two bodies changes.

We have given is

r=4i , angular acceleration =   4j

 v= radius×angular acceleration

v= 4i ×k

v=16j

When we cross i× k = j

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I WILL MARK YOU BRAINLIEST IF YOU CAN ANSWER THIS QUESTION.

Answers

Answer:

23.07°

Explanation:

sorry the picture is a little messy!! in a car ride haha. hope this helps!<3

A ball of mass 4 kg is initially traveling at 2 m/s and has a 5 N force
applied to it for 3 s. What is the impulse applied to the ball?
A. 23 kgm/s
B. 12 kgm/s
C. 5 kgm/s
D. 15 kgm/s

Answers

Answer:

D. 15 kgm/s is the value of impulse applied

. Greetings !

Given values mass(m) =4kginitial velocity (u) =2 m/sForce(F) =5NTime (t) =3 sec

required valueImpulse = ?

Solution :[tex]impulse = force \times  Δtime \\ impulse = (5) \times (3)...substitute \: values \\ impulse = 15kgm/s[/tex]

Write 3 – 4 sentences to describe the kinetic and potential energy of a particle and how the two terms are related.

Answers

Potential energy is position relative, and kinetic energy is motion relative. The primary relationship between the two is their ability to transform into each other. In other words, potential energy transforms into kinetic energy, and kinetic energy converts into potential energy, and then back again.

Potential energy defined as :

The energy stored in a body due to either its position or change in shape is known as potential energy. Water stored in a reservoir is an example of potential energy.

PE=mgh

where,

PE is the potential energy

m is the mass of the body

g is the acceleration due to gravity

h is the height above the surface of the earth

Kinetic energy is defined as :

Kinetic energy is the energy of motion, observable as the movement of an object, particle, or set of particles. Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.

Kinetic Energy Formula:

For the Kinetic formula, Ek, is certainly the energy of a mass, m, motion, of course, is v2.

KE = [tex]\frac{1}{2} mv^{2}[/tex]

KE = Kinetic energy

m = mass of the body

v = velocity of the body

What are the similarities between potential energy and kinetic energy?

One of the most important similarities between potential energy and kinetic energy is that they can both be converted into each other's form of energy. When a force is applied to potential energy it converts to kinetic energy. This means that when an object such as a ball is still it has the potential to move.

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Describe what the sun would look like from earth if the entire photosphere were the same temperature as a sunspot?

Answers

The sun would look like from earth if the entire photosphere were the same temperature as a sunspot then wouldn't see anything from Earth but darkness

The lowest layer of the sun is the photosphere. It is the outer layer of the sun. It is the deepest region of the luminous object. It is composed of convection cells which are called granules . The Sun's photosphere has a temperature between 4,500 and 6,000 K

Sunspots are areas where the magnetic field is about 2,500 times stronger than Earth's, much higher than anywhere else on the Sun.  Because of the strong magnetic field, the magnetic pressure increases while the surrounding atmospheric pressure decreases.

Sunspots tend to occur in pairs that have magnetic fields pointing in opposite directions.  A typical spot consists of a dark region called the umbra, surrounded by a lighter region known as the penumbra.  

The sunspots appear relatively dark because the surrounding surface of the Sun (the photosphere) is about 10,000 degrees F, while the umbra is about 6,300 degrees F.  Sunspots are quite large as an average size is about the same size as the Earth.

If the photosphere were of the same temperature as the sunspot, then we wouldn't see anything from Earth but darkness. We were only able to see and recognize the sunspot because it is surrounded by the visible photosphere.

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Why does the sun only appear to pass through the constellations of the zodiac? For example, why doesn't the zodiac include ursa major?

Answers

The sun only appear to pass through the constellations of the zodiac because Over the course of a year, the sun appears to be in front of, or “in”, different constellations due to its orbit .

A group of stars that can be identified with the shape of an identifiable object like an animal or a known object is called a constellation. Major constellations are the Ursa Major, Ursa Minor and Cassiopeia.

Its motion is entirely an illusion, caused by Earth's own motion around our star. Over the course of a year, the sun appears to be in front of, or “in”, different constellations. One month, the sun appears in Gemini; the next month, in Cancer.

If we wanted to (and were endowed with supernatural powers), we could alter Earth's orbit so that the Sun appears to move through other constellations. Neither Lupus nor Lyra can be zodiac constellations, however, because the Sun doesn't "move through them."

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What is meant by a "chain reaction"?

Answers

A b c d e f g h i j k l m n o p q r s t u v w x y z

A piano string of density 0. 005 0 kg/m is under a tension of 1 350 n. Find the velocity with which a wave travels on the string?

Answers

A piano string of density 0.005 0 kg/m is under a tension of 1350 N, then the velocity with which a wave travels on the string would be 519.61 m/s

What is a sound wave?

It is a particular variety of mechanical waves made up of the disruption brought on by the movements of the energy. In an elastic medium like the air, a sound wave travels through compression and rarefaction.

As given in the problem a piano string of density 0.005 0 kg/m is under a tension of 1350 N,

V= √F/μ

V=√(1350/0.005)

V =  519.61 m/s

Thus, the velocity with which a wave travels on the string comes out to be  519.61 m/s

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For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.

Answers

(1) The critical angles for the fused quartz is 44⁰,

(2) The critical angles for the polystyrene is 39⁰.

(3) The critical angles for the sodium chloride is 41⁰.

What is Critical angles?

In optics, the critical angle is the topmost angle at which a shaft of light traveling in one transparent medium can strike the boundary between that medium and another with a lower refractive indicator without being fully reflected within the first

Critical angles for the different medium.

θ[tex]=sin^{-1}\frac{n_{2} }{n_{1} }[/tex]

where;

[tex]n_{2}[/tex] is the refractive index of air = 1

[tex]n_{1}[/tex] is the refractive index of the given substances.

Refractive index of quartz glass = 1.46

Refractive index of polystyrene = 1.59

Refractive index of sodium chloride = 1.54

Critical angles for quartz glass:

[tex]$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.46}\\$[/tex]

[tex]$\theta_{\text {crit }}=44^{o}$[/tex]

Critical angles for polystyrene

[tex]$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.59}\\\\[/tex]

[tex]\theta_{\text {crit }}=39^{\circ}[/tex]

Critical angles for Sodium Chloride

[tex]$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.54}\\[/tex]

[tex]\theta_{\text {crit }}=41^{o}[/tex]

Thus, the critical angles for the quartz glass is 44⁰, the critical angles for the polystyrene is 39 ⁰ and the critical angles for the sodium chloride is 41⁰.

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I understand that the question you are looking for is:

"For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.

(a) Fused Quartz

(b) Polystyrene

(c) Sodium chloride"

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u = , v =

Answers

The vector u represents the sum of two orthogonal vectors, and which can be written as,

[tex]u=Proj_vu+(u-Proj_vu)[/tex].

To find the answer, we have to know about the projection of vectors.

How to write u as a sum of two orthogonal vectors?Let u and v are two vectors, then the projection of the vector u onto the vector v is given by

                               [tex]Proj_v u=\frac{u.v}{v.v} v[/tex]  (inner product)

let  

              [tex]u=(u_1,u_2)\\v=(v_1,v_2)[/tex]    then, projection of u on v is,

                              [tex]Proj_vu=\frac{u_1v_1+u_2v_2}{v_1v_1+v_2v_2} (v_1,v_2)[/tex]

Then, u can be written as the sum of two orthogonal vectors as,

                 [tex]u=Proj_vu+(u-Proj_vu)[/tex]

Thus, we can conclude that, the vector u represents the sum of two

orthogonal vectors, and which can be written as,

[tex]u=Proj_vu+(u-Proj_vu)[/tex].

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What type of number is 3π + 1?
Choose all answers that apply:
A. whole number
B. integer
C. rational
D. Irrational

Answers

Answer: It's D

Explanation:

A charge of 12 c passes through an electroplating apparatus in 2. 0 min. what is the average current?

Answers

A charge of 12 c passes through an electroplating apparatus in 2.0 min, then the average current is 0.1 ampere.

What is an electric charge?

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.

Electric current is defined as the charge per unit of time.

The mathematical relation between current and the electric charge

I =Q/T

where I is the current flowing

Q is the total electric charge

T is the time period for which the current is flowing

As given in the problem A charge of 12 c passes through an electroplating apparatus in 2.0 min

Let us first convert the time period of minutes into seconds

1 min = 60 seconds

2 min = 2*60 seconds

         =120 seconds

By using the above relation between electric current and electric charge

and by substituting the respective values of the charge and the time period

I =Q/T

I = 12c/120 seconds

I = 0.1 Ampere

Thus, the average current flowing through the apparatus would be 0.1 Ampere.

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Two identical cars are driving toward one another and sounding their horns. You’re the driver of one of the cars. You measure your car’s horn to be sounding at 512 Hz, but you measure the horn of the other car to be sounding at 600. Hz. The speed of sound is 345 m/s. If you are traveling at 26.8 m/s (60 mph), how fast is the other car traveling?

Answers

The speed at which the other car is travelling is 27.71 m/s.

Speed of the second car

The speed of the second car is calculated as follows;

f₂ = f₁(v + v₁)/(v - v₂)

where;

f₂ is the frequency of second carf₁ is frequency of first carv is speed of soundv₁ is speed of first carv₂ is speed of second car

600 = 512(345 + 26.8) / (345 - v₂)

600/512 = (345 + 26.8) / (345 - v₂)

1.1718 = 371.8/(345 - v₂)

345 - v₂ = 371.8/1.1718

345 - v₂ = 317.289

v₂ = 345 - 317.289

v₂ = 27.71 m/s

Thus, the speed at which the other car is travelling is 27.71 m/s.

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What does friis free space loss (fsl) tell us about unguided transmission attenuation? fsl=(4πd/λ)2

Answers

When we consider unguided wireless communications, we must understand the signal attenuation that occurs between transmit and receive antennas.

The information, or message, that we wish to transmit, is modulated onto a frequency carrier, which is then emitted from a transmit antenna in the form of an electromagnetic (EM) wave.

The signal power (watts) received by the antenna is much less than the transmitted power due to attenuation loss. The Friis equation (also known as the Free Space Loss, FSL equation) describes this attenuation loss.Attenuation, as treated in the Friis equation, is the spreading of power over an ever increasing surface area as it propagates away from the transmit antenna.

We can measure how much power resides in a 1 meter2 area as a function of distance from the isotropic antenna.

Power Density, Pd = Pt/(4πd2)

where the (λ/4πd)2 term is sometimes referred to as the path loss or free space loss. The following definitions are assumed:

Pt - The transmitted signal power.

λ - The wavelength of the carrier (i.e., the center frequency of the radiated signal)

d - The distance between the transmitting and receiving antennas.

We can also place the above equation into decibel format:

FSLdB = [FSL] = 20log10(4πd/l) = 20log10(4π) + 20log10(d) - 20log10(l)

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What is the maximum velocity (in m/s) of electrons ejected from a material by 85 nm photons, if they are bound to the material by 4. 66 ev?

Answers

The maximum velocity of electrons is  v = 3.20 × 10¹⁵ m/s

The wavelength of photons λ = 85 nm

W = 4.66 ev

What is photoelectric effect and how velocity of photoelectrons is calculated?

     The emission of electrons happened and absorbed through the electromagnetic radiation is said to be photoelectric effect.

Photoelectric cells, photodiodes works on the principle of photoelectric effect.

According to of photoelectric effect,

                          E = hν

        Here,  hc / λ = W + KE max

                    hc / λ =  W + 1/2 mv² max

               

                   v² =  sqrt of (( hc / λ - W) (2/m))

                   I cap denotes λ ,

substituting all the values,

 v = sqrt of ( (6.623 × 10⁻³⁴ Js ) ( 3 × 10⁸ m/s) / (85 nm) - 4.66ev) (2/  9.1× 10⁻³¹

   v = sqrt of ((1.987800 ×  10⁻²⁵ / 85 × 10 ⁹ ) - 4.66 ev ) ( 2.197 × 10³⁰)          

   v = sqrt of ((2.338588 × 10⁻³⁶) - 4.66 ev ) ( 2.197 × 10³⁰)3.2

   v = 3.20 × 10¹⁵ m/s

Thus, the maximum velocity is calculated as  v = 3.20 × 10¹⁵ m/s.

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How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 x 105 pa)

Answers

At depth of  h = 10.31 m  the surface of a lake would the pressure be double that at the surface

Liquid pressure is the increase in pressure at increasing depths in a liquid. This pressure increases because the liquid at lower depths has to support all of the water above it.

We calculate liquid pressure using the equation liquid pressure = density x acceleration due to g  x depth in fluid.

At the surface of the lake , pressure Po is = 1.01 * [tex]10^{5}[/tex]  Pa

to find = depth under the surface of a lake would the pressure be double that at the surface

Pressure under the surface will be = 2 *  1.01 * [tex]10^{5}[/tex]  Pa = 2.02 *  [tex]10^{5}[/tex]  Pa

Pressure under the surface = Po + ( rho * g * h )

                    2.02 *  [tex]10^{5}[/tex]        = 1.01 * [tex]10^{5}[/tex]   + (1000 * 9.8 * h)

                     1.01 * [tex]10^{5}[/tex]   = 1000 * 9.8 * h

                     h = 10.31 m

At depth of  h = 10.31 m  the surface of a lake would the pressure be double that at the surface

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