the rate of diffusion across a thin membrane can be increased by . select all that apply. the rate of diffusion across a thin membrane can be increased by .select all that apply. increasing the concentration gradient increasing the diffusion coefficient decreasing the cross-section area of the membrane increasing the thickness of the membrane

Answers

Answer 1

There is a maximal rate of facilitated diffusion because there are a limited number of carrier proteins in the membrane.

Diffusion refers to the movement of molecules across a semipermeable membrane from a region of high concentration to a region of low concentration.Facilitated diffusion is mediated by specific membrane transport proteins that carry molecules across the membrane (e.g., aquaporins that transport water molecules).The rate of facilitated diffusion depends on the amount of these transporter membrane proteins.

Therefore, there is a maximal rate of facilitated diffusion because there are a limited number of carrier proteins in the membrane.

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Related Questions

How is blue colour made?​

Answers

Answer:

In terms of the light spectrum, blue is a primary color, which means that it is one of the base colors that exist in the universe and it cannot be created by combining different colors together. The primary pigment colors are cyan, magenta, and yellow. Cyan absorbs red, yellow absorbs blue, and magenta absorbs green.

Explanation:

Hope this helped Mark BRAINLEST!!!


Types. Blue pigments were originally made from minerals such as lapis lazuli, cobalt and azurite, and blue dyes were made from plants; usually woad in Europe, and Indigofera tinctoria, or true indigo, in Asia and Africa. Today most blue pigments and dyes are made by a chemical process. Mark as brainliest

A sample of a gas is in a container. The temperature of the gas is decreased. Based on the relationship between temperature and pressure, what must have happened to the pressure?

Answers

If the temperature of the gas is decreased then the pressure will also decrease.

The molecules of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more impacts on the container's walls. On the other hand, cooling the molecules will cause them to slow down and reduce pressure.

This is more explained by Gay Lussac's Law which states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.

                                      P1/T1 = P2/T2

Thus, with decrease in temperature the pressure will decrease as the move of molecules will be slow now.

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HELPPPPPPP
What did a study by Strayer and Johnston (2001) regarding the effects of attention on driving conclude?
A.
Attention is not affected as long as one is using a hands-free phone.
B.
Driving and talking with friends in the car increases the chance of an accident.
C.
Driving and listening to the radio increases the chance of missing traffic signals.
D.
Driving and talking on any type of cell phone increases the chance of missing traffic signals.

Answers

Answer:

D.

Driving and talking on any type of cell phone increases the chance of missing traffic signals.

Explanation:

correct on edge2021

Answer:

the answer is d thank me later

Explanation:

Define resistance of a conductor. State the factors on which resistance of a conductor depends.

Name the device which is often used to change the resistance without changing the voltage source in an electric circuit.

Calculate the resistance of 50 m length of wire of cross-sectional area 0.01 square mm and of resistivity 5 ×10 ^-8 ohm m​

Answers

Answer:

1. Resistance is the opposition offered in a path of flow of current by the atoms or molecules of the conductor.

Factors on which resistance of a conductor depends are:

Length \(R \propto l\)

Area of cross section \(R \propto \dfrac{1}{A}\)

Nature of the material

2. Rheostat is used to change the resistance without changing the voltage source in an electric circuit.

3.

Given :

\(\dashrightarrow l = 50 m\)

\(\dashrightarrow A = 0.01 {mm}^{2} \)

\(\dashrightarrow A = 0.01 \times {10}^{ - 6} \: {m}^{2} \)

\(\dashrightarrow \rho = 5 \times {10}^{ - 8} \: \Omega \: m\)

We know that,

\( \dashrightarrow R = \rho \dfrac{l}{A}\)

\( \dashrightarrow R = 5 \times {10}^{ - 8} \bigg(\dfrac{50}{0.01 \times {10}^{ - 6} } \bigg)\)

\( \dashrightarrow { \pink{ \underline{ R = 250 \: \Omega }}}\)

The resistance of a conductor is the opposition to the flow of current and depends on the length and area of the material

What is resistance of a conductor?

Resistance is the opposition to the flow of current by the atoms or molecules of the conductor.

The factors on which resistance of a conductor depends are:

Length of materialcross-sectional area of the materialNature of the material

A Rheostat is the device used to change the resistance without changing the voltage source in an electric circuit.

The resistanceis given as:

R = resistivity × length/ area

Area = 0.01 square mm = 1.0 × 10^-8 square m

R = (50 × 5 ×10 ^-8 ohm m)/1.0 × 10^-8 square m

Resistance = 250 ohm

Therefore, resistance of a conductor is the opposition to the flow of current.

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What forces are acting on the climber?

What forces are acting on the climber?

Answers

The force of gravity is one of the forces acting on the climber.Gravity acts from underneath the climber.

Read this statement: Biotechnology uses primary clarifiers for biological nutrient removal.

Which part of the statement is not true?

Biological nutrients are found in wastewater.
Primary clarifiers remove biological nutrients.
Biological nutrients are part of biotechnology processes.
Biological nutrient removal is part of wastewater management.

Answers

Primary clarifiers removing biological nutrients is not true. Primary clarifiers

involves the use of processes such as sedimentation in order to remove

particles floating or other inorganic solids from the waste water.

Biological nutrients such as nitrogen and  phosphorus are found in waste

water and removal of these important nutrients for other uses is a part of

waste water management.

The secondary clarifiers are the ones responsible for the removal of

biological nutrients in the waste water through biofiltration etc.

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The driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B

Answers

If car A is moving north, for example, the direction of its velocity is north. Hence, the direction of the velocity is North.

If the driver of car B looks out the window and sees car A, the velocity (magnitude and direction) of car A as observed by the driver of car B is:

Velocity (magnitude): The velocity of car A is the speed and direction at which it is moving. If the velocity of car A is V1, the magnitude of the velocity will be the speed of the car.

If the car is moving at 20 meters per second, for example, the magnitude of the velocity is 20 m/s. Hence, the magnitude of the velocity is 100.

Direction: When you calculate the velocity of a car, you need to include its direction. Since the driver of car B looks out the window and sees car A, the direction of the velocity of car A will be the direction it is heading in. If car A is moving north, for example, the direction of its velocity is north. Hence, the direction of the velocity is North.

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Last summer, the abrams family had a 30-gallon baby pool that they could fill in just 2 minutes. This summer, they purchased a larger kiddie pool that holds 150 gallons of water. If the abrams fill the larger pool at the same rate, how long will it take to fill it? minutes.

Answers

Answer:  10 minutes

Explanation:

30 gal / 2 min = 15 gal/min  (this is the fill-rate)

x = # minutes to fill a 150 gal pool at a rate of 15 ga/min

(15 gal/min)(x min) = 150 gal

x min = (150 gal) / (15 gal/min) = 10 min

A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then compresses a spring (k = 150 N/m ) by a distance x = 0.046 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50.

a)What is the initial velocity (assumed horizontal) of the bullet?

b)What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?

Answers

a) The initial velocity (assumed horizontal) of the bullet can be calculated using the equation for kinetic friction:
μ = (kinetic friction) = (force of friction) / (normal force).
Since the normal force in this case is equal to the mass of the wooden block multiplied by the acceleration due to gravity (9.81 m/s2), we can write:
μ = Ff / (M*g) = 0.50
Ff = (M*g)*μ = (0.999 kg)(9.81 m/s2)(0.50) = 4.90 N
The equation for kinetic energy is Ek = 1/2mv2.
Substituting Ek = Ff * x (where x is the compression distance of the spring), we can write:
1/2mv2 = (4.90 N)(0.046 m)
Rearranging, we get:
v2 = (4.90 N)(0.046 m)/(1/2m) = (4.90 N)(0.046 m)/(0.0010 kg/2) = 94.00 m2/s2
Taking the square root of both sides gives the initial velocity of the bullet:
v = 9.70 m/s

b) The fraction of the bullet's initial kinetic energy that is dissipated in the collision can be found by comparing the initial and final kinetic energies.
The initial kinetic energy is equal to 1/2(0.0010 kg)(9.70 m/s)2 = 0.046 J.
The final kinetic energy is equal to 0, since the bullet comes to rest after the collision.
Therefore, the fraction of the bullet's initial kinetic energy that is dissipated in the collision is equal to (final energy)/(initial energy) = 0/0.046 = 0.

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Why is the velocity of a wave in shallow water proportional to depth of water

Answers

The speed is faster in deep water and in shallow water the friction with the bottom of the seabed slows the waves down.

Draw a circuit diagram for the circuit of Figure P23.1.

Answers

The 100 Ω and 50 Ω have been joined in series and their combination is joined in parallel with 75 Ω, in the given picture. The circuit diagram shown below.

What is circuit diagram?

A circuit diagram uses electrical symbols to show the various components of an electrical circuit graphically or visually. There is a lot of resistance in the voltmeter.

For the design (circuit design), fabrication (like PCB layout), and maintenance of electrical and electronic equipment, circuit diagrams are utilized. When illustrating Boolean algebraic expressions, circuit diagrams are helpful in the field of computer science.

We may create parallel and series circuits, which are two different sorts of circuits. Wires connect the various parts of a circuit. If there are no branches, the circuit is in series. If there are branches, the circuit is parallel.

Consider the 100 Ω and 50 Ω have been joined in series and their combination is joined in parallel with 75 Ω.

The circuit diagram drawing is as follows:

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The complete question is as follows:

Draw a circuit diagram for the circuit of Figure P23.1.

Draw a circuit diagram for the circuit of Figure P23.1.
Draw a circuit diagram for the circuit of Figure P23.1.

A 35.0-g bullet strikes a 4.6-kg stationary piece of lumber and embeds itself in the wood. The piece of lumber and bullet fly off together at 7.2 m/s. What was the original speed of the bullet

Answers

After converting grams to kilograms (35.0 g = 0.035 kg) and performing the calculation, we find that the original speed of the bullet (V) is approximately 7.4086 m/s.

To determine the original speed of the bullet, we can use the principle of conservation of momentum. The momentum before the collision is equal to the momentum after the collision.

The momentum before the collision is given by the formula: momentum = mass × velocity.

Let's assume the original speed of the bullet is V.

Before the collision:

Momentum of the bullet = mass of the bullet × velocity of the bullet = (35.0 g) × V

Momentum of the lumber = mass of the lumber × velocity of the lumber = (4.6 kg) × 0 (since the lumber is stationary)

After the collision:

The combined mass of the bullet and lumber is (35.0 g + 4.6 kg) = 4.635 kg.

The velocity after the collision is 7.2 m/s.

Using the conservation of momentum equation:

Momentum before the collision = Momentum after the collision

(35.0 g) × V = (4.635 kg) × 7.2 m/s

Now we can solve for V:

V = ((4.635 kg) × 7.2 m/s) / (35.0 g)

After converting grams to kilograms (35.0 g = 0.035 kg) and performing the calculation, we find that the original speed of the bullet (V) is approximately 7.4086 m/s.

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Can someone please answer this, ill give you brainliest Would be very appreciated.

The fact that water is attracted to itself, a property called (options adhesion, cohesion, surface tension), leads to another important property, the liquid form of water is (options less, more, equally) dense than the solid form. As water solidifies into ice, the molecules must move apart in order to fit in to a crystal lattice structure, causing water to expand as it freezes. Because of this, (options ice floats, ice sinks, ice forms at the surface then sinks) and water sinks, which keeps the oceans liquid and prevents them from freezing solid from the bottom up.

Can someone please answer this, ill give you brainliest Would be very appreciated.The fact that water

Answers

Answer:

See below ~

Explanation:

The fact that water is attracted to itself, a property called cohesion, leads to another important property, the liquid form of water is more dense than the solid form. As water solidifies into ice, the molecules must move apart in order to fit in to a crystal lattice structure, causing water to expand as it freezes. Because of this, ice floats and water sinks, which keeps the oceans liquid and prevents them from freezing solid from the bottom up.

You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius
1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.
How fast can you safely spin the ball without the rope breaking?

Answers

Answer:

Approximately \(7.2\; {\rm m\cdot s^{-1}}\) (rounded up), assuming that this circle is vertical and \(g = 9.81\; {\rm m\cdot s^{-2}}\).

Explanation:

Let \(v\) denote the tangential speed of the ball, and let \(r\) denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration \(a = (v^{2} / r)\). The net force on this ball would be \(F_{\text{net}} = m\, a = (m\, v^{2} / r)\).

The net force on this ball is also the vector sum of the tension \(T\) in the rope and the weight of the ball \(m\, g\):

\(F_{\text{net}} = (\text{weight}) + T\).

\(T = F_{\text{net}} - (\text{weight})\).

Note that:

\(\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|\).

In other words, the magnitude of tension \(T\) is at most equal to \(\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)\), which happens when weight and net force are in opposite directions.

When the speed of the ball is maximized, the magnitude of tension \(T\) would be at the largest possible value of \(130\; {\rm N}\). Rearrange the equation and solve for speed \(v\):

\(\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|\).

\(\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}\).

\(\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}\).

How can you find the mass of an object that is broken into parts?

Find the weight of the parts, and then add those weights together.

Find the weight of the whole.

Find the mass of the whole.

Find the mass of the parts, and then add those masses together.

Answers

The mass of an object broken into parts can be determined by finding the mass of the parts, and then add those masses together.

To total mass of an object broken into parts can be determined by adding the mass of different parts together.

\(M_t = m_1 + m_2 +\ ---\)

where;

\(M_t\) is the total mass of the objects\(m_1 , \ m_2\) masses of the broken parts

Thus, we can conclude that the mass of an object broken into parts can be determined by finding the mass of the parts, and then add those masses together.

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1. Assume both players push on the tip-off. One of the nudges it upward with 12N about 13cm ⊥ to the rotation axis. The other player nudges it downward with 11 N at 7cm ⊥ to the rotation axis. Find net torque on the ball. (4 pts)

1. Assume both players push on the tip-off. One of the nudges it upward with 12N about 13cm to the rotation

Answers

Answer:

people play basket ball on espn every year

Explanation:

i just need points

A 0.0254 m long magnet is held next toa wire carrying 0.530 A of current, sothat the field is perpendicular to the wire.The resulting magnetic force is3.67*10^-4 N. What is the strength ofthe field?(Unit = T)Magnetic Field (T)

Answers

The force of a magentic field is given by the next formula

\(F=IBL\cdot sin(\theta)\)

We have F force, I current, B magnetic field, L lenght and sin theta which represents the angle between them. This is important because this interactions depends on the direction.

\(\begin{gathered} B=\frac{F}{IL\cdot sin(\theta)} \\ B=\frac{3.67\cdot10^{-4}N}{0.0254m\cdot0.53A\cdot sin(90)} \\ B=0.027T \end{gathered}\)

Based on the information, the angle is 90 because is perpendicular, as it is mentioned on the text

Using the conductor sizing guide, what conductor ampacity is needed for a 10-horsepower, 230-volt, single-phase motor: a.50 A
b.60 A
c.62.5 A
d.87.5 A

Answers

The correct conductor ampacity for a 10-horsepower, 230-volt, single-phase motor is option c. 62.5 A.

The ampacity of a conductor is a measure of the maximum amount of electrical current that can flow through it safely. The ampacity required for a motor is based on the size of the motor and the voltage of the electrical system. There are standard methods for determining the minimum ampacity for a given motor and voltage, such as the National Electric Code (NEC) and the American National Standards Institute (ANSI). The NEC and ANSI both state that the minimum ampacity for a 10-horsepower, 230-volt, single-phase motor is 62.5 amperes. It's important to note that using a conductor with ampacity lower than the recommended one may cause the motor to overheat and fail, leading to damage or even fire hazard.

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Question 3

A stone weighing 5 newtons falls freely from a cliff 44 meters

high. The stone is accelerated at approximately

А 5 m/sec2

C 44 m/sec

B 10 m/sec2

D 220 m/sec

Answers

Based on scientific data, the stone is accelerated at approximately 10 \(m/s^2\).

Given the following data:

Weight = 5 NewtonHeight = 44 meters.

What is gravity?

Gravity can be defined as a force of attraction that controls the movement of the planets such as Earth around the Sun.

This ultimately implies that, gravity is a universal force of attraction that acts between all objects or matter that are having both mass and energy, and can occupy space.

Gravity on planet Earth

Furthermore, the gravity near the Earth's surface generally makes it possible for all physical objects such as stones to possess weight and experience a free fall.

According to astronomical records, the acceleration due to gravity for an object experiencing a free fall near the Earth's surface is 9.8 \(m/s^2\).

In this scenario, the stone is accelerated at approximately 10 \(m/s^2\).

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which assumption about level of measurement is made for the chi square test?

Answers

The chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level of measurement.

In statistics, the level of measurement refers to the nature and properties of the data being collected. There are four levels of measurement: nominal, ordinal, interval, and ratio. Nominal and ordinal levels are considered categorical, while interval and ratio levels are considered numerical. The chi-square test is specifically designed for analyzing categorical data, where the observations can be classified into distinct categories or groups. It is used to determine whether there is a significant association or relationship between two categorical variables.

The test calculates the difference between the observed frequencies and the expected frequencies under the assumption of independence between the variables. It compares the observed and expected frequencies using a chi-square statistic and determines the p-value to assess the statistical significance of the association. Therefore, the chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level because it deals with categorical data and evaluates the relationship between different categories or groups.

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Electromagnetic waves are a form of what type of energy?

Let me know if its correct or incorrect.​

Electromagnetic waves are a form of what type of energy?Let me know if its correct or incorrect.

Answers

Answer:

The correct answer is - radiant.

Explanation:

Electromagnetic waves are the transverse waves that get energy as radiation from the source and transfer to an absorber so, the radiant energy is the energy of electromagnetic waves.

Electromagnetic waves are can travel in space unlike mechanical waves and are made up of photons, tiny packets of energy. Electromagnetic waves or spectra include radio waves, infrared, light, microwaves, UV, X-rays, and gamma rays.

Calculate the gravitational acceleration of a satellite that is in orbit at a distance of 1.0 x 10^8 meters from the center of the Earth (Mass of Earth is 6.0 × 10^24).

Answers

Answer:

\(g=0.035\ m/s^2\)

Explanation:

Given that,

Mass of Earth, \(m=6\times 10^{24}\ kg\)

We need to find the gravitational acceleration of a satellite that is in orbit at a distance of \(10^8\ m\) from the center of the Earth.

Radius of earth is 6,371 km

The formula used to find the gravitational acceleration at a distance is given by :

\(g=\dfrac{Gm}{R^2}\)

R = r+d

\(g=\dfrac{6.67\times 10^{-11}\times 6\times 10^{24}}{(10^8+6371\times 10^3)^2}\\\\g=0.035\ m/s^2\)

So, the gravitational acceleration is \(0.035\ m/s^2\).

As a given thundercloud's base elevation gets lower and lower, the possibility of lightning strike

Answers

As the base elevation of a thundercloud gets lower and lower, the possibility of lightning strike increases. Thunderstorms form when warm, moist air rises and cools, forming clouds.

These clouds are known as cumulonimbus clouds, which are tall and have a flat base. The base of a cumulonimbus cloud can vary in height, depending on the temperature and moisture content of the air below it.

The lower the base of a thundercloud, the closer it is to the ground, and the more likely it is to produce lightning strikes. This is because lightning is an electrical discharge that occurs when there is a difference in charge between two objects, such as the cloud and the ground. When the base of a thundercloud is low, it means that the cloud is closer to the ground, which increases the likelihood of a charge difference between the cloud and the ground.

Furthermore, the lower base of a thundercloud can also mean that there is more moisture in the air below it, which can lead to more lightning strikes. This is because moisture in the air can help to conduct electricity, making it easier for lightning to travel from the cloud to the ground.

In conclusion, the lower the base elevation of a thundercloud, the greater the possibility of lightning strike due to the increased proximity to the ground and higher moisture content. It is important to stay indoors and avoid outdoor activities during thunderstorms to avoid the risk of being struck by lightning.

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If the same elevator accelerates downwards
with an acceleration of 1.2 m/s
2
, what is the
upward force exerted by the elevator floor on
the passenger?

Answers

The upward force exerted by the elevator floor on the passenger is 7.6 times mass of the passenger.

What is force?

A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in question elevator accelerates downwards with an acceleration of 1.2 m/s². There is acceleration due to gravity working downward which is 9.8 m/s².

So, net acceleration due to gravity is given as 9.8 - 1.2 = 7.6 m/s²

The upward force exerted by the elevator floor on the passenger is mass times acceleration, 7.6 times mass of passenger.

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kyle has a mass of 54kg and is moving at 3 m/s what is his kinetic energy

Answers

Answer:

243J

Explanation:

K.E = 1/2 x 54 x 3^2

K.E = 1/2 x 54 x 9

K.E = 1/2 x 486

K.E = 486/2

K.E = 243J

The application of 16 Newtons of force to an egg results in the egg accelerating at 68.6 m/s^2 what is the mass of the egg? Round to the nearest hundredths

Answers

Answer:

The mass of the egg = 0.23 kg

Explanation:

The force, F = 16 N

The acceleration, a = 68.6 m/s²

The relationship between the force (F), acceleration (a), and mass (m) is:

F = ma

Substitute F = 16, a = 68.6, and solve for m

16 = 68.6m

m = 16/68.6

m = 0.23 kg

if you were given a rock sample and told it contained 200 atoms and three half-lives had passed how much of the daughter isotope would you have? How much of the parent isotope?

Answers

After three half-lives, 1/8 (or 0.125) of the parent isotope remains. Thus, 0.125 times the parent atoms. The daughter isotope would be equivalent to the remaining parent isotope, 0.125 times the original number of parent atoms.

After three half-lives, the parent isotope has exponentially decayed, forming the daughter isotope. Each half-life reduces the parent isotope by half and increases the daughter isotope. Three half-lives have passed, reducing the parent isotope to 1/8 of its initial level. The rock sample would have 1/8 of the parent isotope.

The daughter isotope would have accumulated during decay. After three half-lives, the daughter isotope would have reached 3/8 of the parent isotope as each half-life creates one-half of it. After three half-lives, the rock sample would have 1/8 of the parent isotope and 3/8 of the daughter.

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If your face is 62 cm in front of a plane mirror, where is the image of your face located?
62 cm in back of the mirror


62 cm below the mirror


62 cm in front of the mirror


31 cm in front of the mirror

Answers

\( \huge \mathrm{ Answer࿐ }\)

The correct option is :

\(\hookrightarrow\) 62 cm in back of the mirror

_____________________________

Explanation :

Plane mirror always make a virtual and erect Image which is as far from the mirror as the object is !

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

A ball weighted 20 Newton's rolls 20 meters in a straight line on a level surface. What is its change in potential energy?

A. 0 J

B. 1 J

C. 40 J

D. 400 J

A ball weighted 20 Newton's rolls 20 meters in a straight line on a level surface. What is its change

Answers

Change in potential energy=Workdone .

\(\\ \rm\Rrightarrow Work\:done=Force(Distance)\)

\(\\ \rm\Rrightarrow Work\:done=20(20)=400J\)

Option D

The change in the potential energy of the ball is equal to 0J. Therefore, option (A) is correct.

What is the work?

Work can be described as the energy used when a force is exerted to move an object through a specific displacement. The work done can be defined as it depends upon both the force on the object and the displacement by the object.

The displacement in a straight line in the direction of the applied force over a distance 'd'.

W= F × d

Where 'F' is the exerted force and 'd' is the displacement by the object.

The change in the potential energy or kinetic energy is equal to the work done.

The change in the potential energy  = mgh₂ - mgh₁

The ball roll over the surface, h₂ = h₁

Therefore, the change in the potential energy is equal to zero.

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An RLC series circuit has a resistance of R=347 Ω, an inductance L = 0.190 mH, and a capacitance C= 37.0 nF. If the capacitor breaks down for peak voltages in excess of 7.00 x 10² v. what is the maximum source voltage amplitude when the circuit is operated at the resonant frequency?

Answers

To determine the maximum source voltage amplitude at the resonant frequency in the RLC series circuit, we need to calculate the impedance of the circuit at resonance and then use it to find the maximum voltage.

The impedance (Z) of an RLC series circuit is given by:

Z = √((R^2 + (ωL - 1/(ωC))^2))

Where ω is the angular frequency and is equal to 2πf, with f being the resonant frequency.

First, let's calculate the resonant frequency (f) using the given values of inductance (L) and capacitance (C):

f = 1 / (2π√(LC))

  = 1 / (2π√((0.190 × 10^(-3)) * (37.0 × 10^(-9))))

 ≈ 1.058 MHz

Next, calculate the angular frequency (ω):

ω = 2πf

  ≈ 2π * (1.058 × 10^6)

  ≈ 6.66 × 10^6 rad/s

Now, we can calculate the impedance at resonance:

Z = √((R^2 + (ωL - 1/(ωC))^2))

  = √((347^2 + ((6.66 × 10^6) * (0.190 × 10^(-3)) - 1/((6.66 × 10^6) * (37.0 × 10^(-9))))^2))

  ≈ 347 Ω

Since the impedance at resonance is equal to the resistance (Z = R), the maximum source voltage amplitude is equal to the maximum voltage across the capacitor. Therefore, the maximum source voltage amplitude is 7.00 × 10² V or 700 V.

The maximum source voltage amplitude in the RLC series circuit, operated at the resonant frequency, is 700 V. This is because the impedance at resonance is equal to the resistance, and the maximum voltage occurs across the capacitor. The resonant frequency is calculated using the given inductance and capacitance values. The impedance at resonance is determined by the resistance, inductance, and capacitance values of the circuit.

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