Why do the lighter isotopes disappear first from the atmosphere? Where do those isotopes go?

The new pressure of the air in the syringe is 1.5 atm.

The new pressure of the air in the syringe is calculated as follows assuming the temperature remains constant;

P2 = P1V1/V2

P2 = 1 * 60/40

P2 = 1.5 atmospheres

In conclusion, pressure varies inversely as volume.

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Answer:

212 pounds

Explanation:

477 nm / 180 nm/hr     *   80 #/hr = 212 #

The distance between the two adjacent nodes = λ/2.

A periodic wave's wavelength is its spatial period, or the length over which its form repeats. It is a property of both travelling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda (λ) is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.

The distance between the two adjacent nodes = λ/2.

for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.

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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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The current must change at a rate of [tex]10^{4}[/tex] A/sec to induce an emf of 1000 volts.

We have a inductor of inductance 100 millihenry.

We have to calculate at what rate the current in the inductor have to change to induce an emf of 1000 Volts.

According to the faraday's law of induced voltage, the voltage induced in the conductor present in the time changing magnetic field is directly proportional to the negative of the rate of change of magnetic flux passing through it per unit time. Mathematically -

ε = [tex]- N\frac{d\phi}{dt}[/tex]

Where -

ε is the induced voltage

N is the number of turns

[tex]\frac{d\phi}{dt}[/tex] represents the rate of change of magnetic flux

Now, in the question it is given that -

L = 100 mH = 0.1 H

ε = 1000 Volts

Now - the voltage across the inductor is given by :

[tex]V = L \frac{di}{dt}[/tex]

[tex]\frac{di}{dt} = \frac{V}{L} = \frac{1000}{0.1} = 10^{4}[/tex] A/sec

Hence, the current must change at a rate of [tex]10^{4}[/tex] A/sec to induce an emf of 1000 volts.

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The wavelength of the emitted photon is([tex]\lambda[/tex])= 690nm

To calculate the wavelength of the photon we are using the formula,

[tex]\triangle E= \frac{h\times c}{\lambda}[/tex]

Or,[tex]\lambda= \frac{h\times c}{\triangle E}[/tex]

We are given here,

[tex]\triangle E[/tex]= The energy difference between the two levels = 1. 8 ev= [tex]1.8\times 1.6 \times 10^{-19}[/tex] C.

h= Planck constant = [tex]6.626\times 10^{-34}[/tex] Js.

c= speed of light = [tex]3\times10^8[/tex] m/s.

We have to find the wavelength of the emitted photon =[tex]\lambda[/tex] m.

Therefore, we substitute the known parameters in the above equation, we can find that,

[tex]\lambda= \frac{h\times c}{\triangle E}[/tex]

Or,[tex]\lambda= \frac{6.626\times 10^{-34}\times 3\times 10^8}{1.8\times 1.6 \times 10^{-19}}[/tex]

Or,[tex]\lambda= 690\times 10^{-9}[/tex] m

Or,[tex]\lambda[/tex]=690 nm.

From the above calculation we can conclude that the wavelength of the emitted photon is 690nm.

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Answer:

They're are useful in providing larger frictional force

Explanation:

The football shoes have spikes or studs because the studs or spikes provides larger frictional force than normal shoes while running on the grass.

The studs helps to prevent a player from slipping on the grass and help to run faster and change direction quickly without slipping.

Answer:

The age of the sample will decrease by 1/2 for each half-life that the sample undergoes:

1/2 * 1/2 * 1/2 = 1/8

The data indicates that the sample has undergone 3 half-lives of decay

3 * 5730 = 17190 yrs is the approximate age of the sample

The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:

From the question, we were given:

|-3w| = 15

3|-w| = 3|w| = 15

Hence:

|w|  = 15/3

|w| = 5

If vector w is represented by <-3,4>, then:

 [tex]\sqrt{(-3)^2 + (4)^2} \\\\\\\sqrt{25} = 5[/tex]

If vector w is represented by <0,-5>

 [tex]\sqrt{(0)^2 + (-5)^2} \\\\\\\sqrt{25} = 5[/tex]

Therefore, The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:

See full question below

Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?

<1,-9>

<-3,4>

<4,5>

<-5,-3>

<0,-5>

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action force by Diver, the reaction force is by Diving board, direction of action force is down,  direction of reaction force is up.

Forces, often known as action and reaction forces, always act in pairs. The force exerted by the initial action on an item is known as the action force, and the force exerted in the opposite direction by the object is known as the reaction force.

Which object exerts the action force?

diver

Which object exerts the reaction force?

diving board

In what direction does the action force push?

down

In what direction does the reaction force push?

up

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Answer:

Which object exerts the action force?

diver

Which object exerts the reaction force?

diving board

In what direction does the action force push?

down

In what direction does the reaction force push?

up

Explanation:

Electromagnetic spectrum represents the complete range of frequencies of light energy from radio waves to cosmic rays.

Electromagnetic spectrum is nothing but the complete range of electromagnetic radiation, classified by frequency or wavelength.

When an electric field interacts with a magnetic field, electromagnetic waves are created. Therefore, they are referred to as "electromagnetic" waves.

these are ranging from  highest to lowest energy

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Answer:

m = 15, P = .25, x = .15

F = -K x for spring

ω = (K/m)^1/2

ω^2 = K / m

K = m ω^2 = m (2 π f)^2 = m 4 π^2 / P^2

K = 4  π^2 m / P^2

F = K x = x * 4  π^2 m / P^2

F = .15 * 4 * π^2 * 15 / .25^2

F = 1420 N

The direction angle of 4w- (2u v) is equal to 353.7°.

A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=ai+bj, can be used to determine the direction angle,, of the vector.

Use the formula = arctan(y/x) to determine the direction of the vector v = (x, y), where is the smallest angle the vector makes with the horizontal axis and x and y are its component vectors.

The angle a vector creates with a horizontal line is used to determine the vector's direction. The formula:where x is the horizontal change and y is the vertical change, gives the direction angle of a vector.

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Answer:

7808 m/s

Explanation:

Find NE velocity after 60 s  of acceleration in that direction:

  = a t  =  28.4 m/s^2 * 60 s = 1704  m/s

    Vertical component = 1704 sin 45 = 1204.9 m/s

     Horiz component = 1704 cos 45 = 1204.9  m/s

Add the two vertical components

  6510 + 1204.9 = 7714.9 m/s = vertical velocity

Pythagorean theorem to find resultant of vertical and horiz  v's

Vf ^2 = 1204.9^2   + 7714.9^2 0

Vf = 7808. m/s

Answer: 81.1 for the direction of its velocity and 7808 for the magnitude of its velocity

Explanation:

All electromagnetic waves have the same manner of propagation; alternating electric and magnetic fields that's why electromagnetic waves of all wavelengths have the same speed in a vacuum

An altering magnetic field will cause an altering electric field and vice versa. Electromagnetic waves are created from these shifting fields. In contrast to mechanical waves, electromagnetic waves can travel without a medium. The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves or EM waves.

In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves. Almost the majority of the energy that sustains life on our planet comes from electromagnetic waves that flow from the sun to Earth through space. Technology is a necessity for many additional electromagnetic wave sources. Examples include X-rays, radio waves, and microwaves.


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The visible radiation produced by new stars within a molecular cloud get absorbed by dust grains and heats up the cloud

A molecular cloud is an interstellar cloud of gas and dust in which molecules can form, the most common of which is hydrogen .

The formation of stars occurs exclusively within molecular clouds because of their low temperatures and high densities, because the gravitational force acting to collapse the cloud must exceed the internal pressures that are acting "outward" to prevent a collapse.

Visible radiation are absorbed by dust grains and heats up the cloud as it cannot penetrate through the cloud instead get absorbed by the cloud . Newly formed stars are visible nearby, their images reddened by blue light which got scattered by the pervasive dust.

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When calculating building energy performance, these are included as process energy:

Ways to improve BEPS

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We will hear the sound of siren of frequency 1553.4606 Hz.

The apparent change in wave frequency brought on by the movement of a wave source is known as the Doppler effect. When the wave source is coming closer and when it is moving away, the perceived frequency changes. The Doppler effect explains why we hear a passing siren's sound changing in pitch.

according to Dopplers Effect,

[tex]f'=[\frac{v + v_{0} }{v - v_{s} } ]f[/tex]

[tex]f'= [\frac{700+68.1}{700-94.8} ]* 1224[/tex]

[tex]f'= 1553.4606 Hz[/tex]

the frequency would be 1553.4606 Hz.

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No two electrons in an atom or molecule may have the same four electronic quantum numbers, according to the Pauli Exclusion Principle. Only two electrons can fit into an orbital at a time, hence they must have opposing spins.

According to Pauli's Exclusion Principle, no two electrons in the same atom can have values for all four of their quantum numbers that are exactly the same. In other words, two electrons in the same orbital must have opposing spins and no more than two electrons can occupy the same orbital.

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The dripping faucet onto the wave causes the frequency to stay the same throughout, it just moves up and down.

When a wave is passed through the single slit, diffraction occurs. The light spreads out and after it passes through the slit, it interferes with itself.

The mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

Mechanical energy is a special class of energy that an object contains due to its relative position or motion/movement level.

This type of energy (mechanical energy) is associated with both kinetic motion energy and potential (stored) energy.

In conclusion, the mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

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Electric potential energy of that charge at origin  = 40 V

Electric potential, the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.

The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.

Electric potential energy is defined as the total potential energy a unit charge will possess if located at any point in the outer space.

Potential energy at a point = change in electric potential to bring it from infinity to that point

Potential energy = Potential at that point - Potential at infinity

conventionally , potential at infinity is taken as zero

Potential energy = Potential at that point

hence , Potential energy of that charge at origin = Electric Potential at the origin

Potential energy of that charge at origin  = 40 V

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The reactance in a purely inductive load if we increase the driving angular frequency will also increase .

An inductor is defined as a passive component that is used in most electrical circuits to store energy in the form of magnetic energy when electric current flows through it. It is also known as the coil, choke, or reactor. It is a two-terminal electrical component that is characterized by its inductance.

Inductive reactance is the property of an inductive coil that resists the change in alternating current (AC) through it and is similar to the opposition to direct current (DC) in a resistance.

Inductive reactance = angular frequency * inductance

X (L) = ω L

The inductive reactance of an inductor is directly proportional to  angular frequency . Hence , if reactance in a purely inductor increases if there is an increase in angular frequency .

The slope shows that the “Inductive Reactance” of an inductor increases as the supply frequency across it increases. Then we can see that at DC an inductor has zero reactance (short-circuit), at high frequencies an inductor has infinite reactance (open-circuit).

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Plasma is often called the fourth state of matter. The four states are solid, liquid, gas, and plasma

The term "fourth state of matter" refers to plasma, which it shares with solid, liquid, and gas. Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).

The fourth state of matter after solid, liquid, and gas is referred to as plasma. An ionized substance enters this state of matter when it becomes extremely electrically conductive to the point where long-range electric and magnetic forces control its behavior. Water makes up around 92 percent of the plasma. Additionally, it has 7% of essential proteins like albumin, gamma globulin, and anti-hemophilic factor, and 1% of mineral salts, carbohydrates, lipids, hormones, and vitamins.

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Atmospheric pressure is about 100000 pa. at h ≈ 10 m depth in water does this pressure double

Water pressure is the result of the weight of all the water above pushing down on the water below. As you go deeper into a body of water, there is more water above, and therefore a greater weight pushing down. This is the reason water pressure increases with depth.

The atmospheric pressure at a point is defined as the force acting normally on a unit area around that point, due to the total height of the air column of the atmosphere above it.

Pressure in depth = Atmospheric pressure + (rho) * g * h

where

rho = density of water

g = acceleration due to gravity

h = depth in water

P = Po + rho * g * h

2 * [tex]10^{5}[/tex] =  [tex]10^{5}[/tex]  + [tex]10^{3}[/tex] * 9.8 * h

h = 10.20 m

h ≈ 10 m

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The acceleration of the car is 3.56 m/s².

Rate of change of velocity with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Some characteristics of acceleration are-

The formula for acceleration is;

[tex]\bar{a}=\frac{v-v_{0}}{t}=\frac{\Delta v}{\Delta t}[/tex]

[tex]\begin{aligned}&\bar{a}=\text { average acceleration } \\&v=\text { final velocity } \\&v_{0}=\text { starting velocity } \\&t=\text { elapsed time }\end{aligned}[/tex]

The starting velocity is 3.50 m/s

The final velocity is 14.8 m/s.

The elapsed time is 3.17 s.

Substitute all the values in the formula of acceleration;

[tex]\bar{a}=\frac{14.8-3.50}{3.17}\\\bar{a}=3.56[/tex]

Therefore, the acceleration of the car is 3.56 m/s².

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The average current is 0.10 A.

Charge moving through a location on a circuit at a constant rate is called current. When numerous coulombs of charge pass over a wire's cross section in a circuit, it produces a large current. It is not necessary for a wire to be moving at a fast speed in order to have a high current if the charge carriers are tightly packed into the wire. To put it another way, many charge carriers traveling through the cross section is sufficient; they do not need to travel a great distance in a single instant. The amount of charges that flow through a cross section of wire on a circuit, as opposed to how far they travel in a second, is what determines current.

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

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Magnitude of Net force Required to accelerate a 1200kg car uniformly from 0m/s to 27m/s in 10s is 3240N.

Force can be found out using the relation of Force, mass and acceleration.

The relation of Force, mass and acceleration is as follows:

∴ Force = Mass × Acceleration

⇒ Force = 1200kg × Acceleration

Given:

Mass = 1200kg

Final Velocity = 27m/s

Initial Velocity = 0m/s

time = 10s

Now, to find out the acceleration we can use the first equation of motion:

∴ Final Velocity = Initial Velocity + Acceleration × time                

⇒ 27   = 0 + 10a                  

⇒ a = 2.7m/s²        

Putting acceleration in the above mentioned equation,  

∴ Force = 1200kg × Acceleration

⇒ Force = 1200kg × 2.7

⇒ Force = 3240N

Hence, the net force required to accelerate the car uniformly is 3240N.

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The answer is 3240 N.

Intial velocity [tex]$\mathrm{u}=0 \mathrm{~m} / \mathrm{s}$[/tex]

final velocity [tex]$\mathrm{v}=27 \mathrm{~m} / \mathrm{s}$[/tex]

time [tex]$t=10$[/tex] sec.

Newton's first equation of motion

[tex]$v=u+a t$[/tex], here a = acceleration

[tex]$\mathrm{so}_{0}=(v-u) / t$[/tex]

[tex]$a=(27.0-0) / 10$[/tex]

[tex]$a=2.7 \mathrm{~m} / \mathrm{sec}^{2}$[/tex]

Force [tex]$F=m a$[/tex]

Mass [tex]$\mathrm{m}=1200 \mathrm{~kg}$[/tex]

[tex]$F=1200 \times 2.7$[/tex]

[tex]$F=3240 N$[/tex]

What is acceleration?

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The pressure will 14. 0 g of co exert in a 3. 5 l container at 75°c is 4.1atm.

Therefore, option A is correct option.

Given,

Mass m = 14g

Volume= 3.5L

Temperature T= 75+273 = 348 K

Molar mass of CO = 28g/mol

Universal gas constant R= 0.082057L

Number of moles in 14 g of CO is

n= mass/ molar mass

= 14/28

= 0.5 mol

As we know that

PV= nRT

P × 3.5 = 0.5 × 0.082057 × 348

P × 3.5 = 14.277

P = 14.277/3.5

P = 4.0794 atm

P = 4.1 atm.

Thus we concluded that the pressure will 14. 0 g of co exert in a 3. 5 l container at 75°c is 4.1atm.

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The transistor is a great improvement over the vacuum tube because it is much more energy efficient is a True statement .

A transistor is a miniature semiconductor that  controls current or voltage flow and also amplifies and generates  electrical signals and  can also act as a switch/gate for them.

A vacuum tube, also called a valve in British English, is an electronic device used in many older model radios, television sets, and amplifiers to control electric current flow. The cathode is heated, as in a light bulb, so it will emit electrons. This is called thermionic emission.

Transistors consume lower power consumption , less waste heat, and are highly efficient than equivalent tubes, especially in small-signal circuits.

Vacuum tubes runs with D.C voltage which ranges from 400 V to 500 V. Vacuum tubes require much higher power than transistor device. Hence , are less efficient . This is the main advantages of the transistor.

Another advantage of transistors are that they are portable and lightweight equipment. Can operate on lower-voltage supplies for greater safety, also have lower costs and tighter clearances.

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