Each plate of a capacitor stores a charge of magnitude 1 mC when a 100-V potential difference is applied. The capacitance is: A) 5 μ F B) 10 μ F C) 50 μ F D) 100 μ F E) None of these

Answers

Answer 1

The capacitance of the given capacitor is 10 μF. The correct answer is option B).

A capacitor is an electronic component that stores electrical energy in an electric field between two conductive plates separated by a dielectric material. It is a passive component, which means that it does not require a source of energy to operate.

The capacitance of a capacitor is a measure of its ability to store electrical energy, and it is determined by several factors, including the size of the plates, the distance between them, and the type of dielectric material used.

The capacitance of a capacitor can be calculated using the formula:
Capacitance (C) = Charge (Q) / Potential Difference (V)
Given the values in the question, we have:
Charge (Q) = 1 mC = 0.001 C (converting to coulombs)
Potential Difference (V) = 100 V

Now, plug the values into the formula:
C = 0.001 C / 100 V = 0.00001 F = 10 μF
So, the capacitance is 10 μF,

Therefore option B) is the correct answer.

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Related Questions

Relate a real life phenomena with each branch of physics..

Answers

Answer:

Absolutely no real-life phenomena/ uses are possible that are related to any branch of physics, except:

1 The device you are reading this answer on. (quantum mechanics, electronics )

2 The air conditioner in your room. ( electromagnetism, electronics )

3 The satellites and space stations in space which will help in the deciphering of the universe will help us look for a suitable planet when we render the earth useless. ( general and special relativity, classical mechanics )

4 Ohh. I forgot, do you wear clothes, well they are made in factories where factories run on the principles of thermodynamics, which is physics.

5 Ever gone somewhere? Well, the transportation uses classical mechanics, thermodynamics, electromagnetism, relativity ( if you know Global Positioning System )

6 GPS itself! It’s used in online maps, navigating, and this sort of stuff. It works on general relativity.

Honestly, this list is endless.

Who found Uranus? Name?​

Answers

Answer:William Herschel found the seventh planet now known as uranus

<!> Brainliest is appreciated! <!>

Explanation:

Answer:

William Herschel

Explanation:

Which action is a change of state?

A. Neutralization
B. Shredding
C. Sublimation
D. Breaking

Answers

The answer is d because think abt it breaking of thw state would destroy us

Physics
1. A car travels north on the highway for 125 kilometers, then turns west for 75 kilometers, then makes a u-turn and travels south for 125 kilometers.
A. Determine the displacement of the car.

2. Anthony has 25 kilograms of sand, while Juan has 60 pounds of sand. Determine which of the two boys has the most amount of sand.

3. 4. A horse runs with a velocity of 15 km/hr towards the north for 90 minutes. Determine the displacement of the horse.

Answers

Explanation:

A car travels north on the highway for 125 kilometers, then turns west for 75 kilometers, then makes a u-turn and travels south for 125 kilometers.

A. To determine the displacement of the car, you would need to calculate the final position of the car relative to its initial position. In this case, the car traveled north for 125 km, then west for 75 km, and then south for 125 km. This means the car ends up in the same place it started (125 km south of its starting point), so the displacement would be 0 km.

Anthony has 25 kilograms of sand, while Juan has 60 pounds of sand. To determine which of the two boys has the most amount of sand, we need to convert the weight of the sand from pounds to kilograms. 60 pounds is approximately 27.2 kilograms. So Juan has 27.2 kilograms of sand and Anthony has 25 kilograms of sand. Anthony has more sand.

A horse runs with a velocity of 15 km/hr towards the north for 90 minutes. To determine the displacement of the horse, you would need to calculate the distance traveled by the horse. You can use the formula: Displacement = velocity x time. In this case, the velocity is 15 km/hr and the time is 90 minutes (converted to hours). So, Displacement = 15 x (90/60) = 22.5 km towards the North.

a question about the size of the universe

Answers

Answer: The Universe has no scale, no matter and no size it is an infinite void of never-ending wonder.

Explanation:

an electron jumps from an energy level of -1.6eV to one of -10.4eV in an atom.calculate the energy of the emitted radiation

Answers

The energy of the emitted radiation is 8.8 eV. This means that when the electron transitions from the higher energy level (-1.6 eV) to the lower energy level (-10.4 eV), it releases energy in the form of radiation with an energy of 8.8 eV.

The energy of the emitted radiation can be determined by the difference in energy between the initial and final energy levels of the electron. In this case, the electron jumps from an energy level of -1.6 eV to -10.4 eV.

The energy of the emitted radiation (E) is given by:

E = |initial energy level - final energy level|

E = |-1.6 eV - (-10.4 eV)|

E = |-1.6 eV + 10.4 eV|

E = 8.8 eV

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The sky on Earth is blue because blue light is scattered through the atmosphere as the other colors of light pass through undisturbed. Which nebulae have something similar going on?
A. Emission nebulae
B. Dark nebulae
C. Reflection nebulae
D. Planetary nebulae

Answers

Answer: B


Explanation:

The sky on Earth is blue because blue light is scattered through the atmosphere as the other colors of light pass through undisturbed. Dark nebulae  have something similar going on.

What is nebulae?

Nebulae are interstellar dust and gas clouds that get backlighting from stars both inside and behind them. The clouds are illuminated by the photons from these stars that are dispersed throughout them. A nebula does not generate most of the light that appears to come from it; rather, it reflects and refracted light.

A dark nebula, also known as an absorption nebula, is a form of interstellar cloud, particularly a molecular cloud, that is so dense that it absorbs all of the light from objects behind it, including emission or reflection nebulae and background stars, at visible wavelengths.

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A train is traveling N at 45 m/s. After 10s, it is traveling at 90 m/s. What is it's acceleration?

Answers

Answer:

The train's acceleration is 4.5 m/s²

Explanation:

The train's speed increased by 45 m/s after 10 seconds, which means that it's speed increased by 4.5 m/s each second, or rather 4.5m/s²

7. A * 1.5 * 10 ^ 2 * g piece of glass at a temperature of 70.0C is placed in a container with 1 * 10 ^ 2 * g of water initially at a temperature of 16.0 . What is the equilibrium temperature of the water ?

Answers

The eqilibrium tempreture of the water, given that 1.5×10² g piece of glass at a temperature of 70.0 °C is placed in the water is 28.5 °C

How do I determine the equilibrium temperature?

The following data were obtained from the question:

Mass of glass (M) = 1.5×10² gTemperature of glass (T) = 70.0 °CSpecific heat capacity of glass (C) = 0.84 J/gºC Mass of water (Mᵥᵥ) = 1×10² gTemperature of water (Tᵥᵥ) = 16.0 °CSpecific heat capacity of the water = 4.184 J/gºC Equilibrium temperature (Tₑ) =?

The equilibrium temperature of the water can be obtained as follow:

Heat loss = Heat gain

MC(T - Tₑ) = MᵥᵥC(Tₑ - Tᵥᵥ)

1.5×10² × 0.84 × (70 - Tₑ) = 1×10² × 4.184 × (Tₑ - 16)

126 × (70 - Tₑ) = 418.4 × (Tₑ - 16)

Clear bracket

8820 - 126Tₑ = 418.4Tₑ - 6694.4

Collect like terms

8820 + 6694.4 = 418.4Tₑ + 126Tₑ

15514.4 = 544.4Tₑ

Divide both side by 544.4

Tₑ = 15514.4 / 544.4

Tₑ = 28.5 °C

Thus, we can conclude that the equilibrium temperature of the water is 28.5 °C

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does earths surface heat up the same everywhere

Answers

the correct answer is no ;)

Answer:

                                                                  .                                            .                                  

Explanation                            

                                                                .                                                            .                                    

                                .                              

What is missing from this graph?

(A) A title.
(B) Axis labels.
(C) A trendline.

What is missing from this graph?(A) A title.(B) Axis labels.(C) A trendline.

Answers

We have that what  missing from this graph is

Axis labels.

Correct option is B

Generally

It is important to note that a graph is incomplete with out labeling its  axis to show clarification

The Graph above  has

a title as"Number of sunspots each year"

and obvious trend lines

Therefore

Axis labels.

Correct option is B

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Answer:

It's axis labels

Explanation:

I took the test :D

how does pressure at the bottom of a body of water relate to the weight of water above each square meter

Answers

The pressure at the bottom of a body of water is the weight of water per one-meter square area.

The force applied perpendicularly to an object's surface per unit area across which that force is dispersed is known as the pressure. The definition of it is force per unit area. It is usually more convenient to use pressure rather than force to describe the influences upon the behaviour of fluid. various units are used to express pressure.

In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. As a result, the bottom of a fluid column suffers more pressure than the top, as does an object submerged in the column.

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have a conversation with me

Answers

Answer:

to live and function. Rememb

Explanation:

Answer:

to live and be social

Explanation:

during the experiment, when you got a standing wave, the amplitude of the wave became much bigger than the amplitude of the oscillator. what was the reason for this? type your answer in the space provided below the question.

Answers

By constructively superimposing two opposing waves, we get a standing wave amplitude that is much larger than the oscillation amplitude.

A wave is a disturbance of a medium consisting of the net motionless force of debris. It can take the form of elastic deformation, pressure deformation, electrical or magnetic intensity, electrical energy, or temperature.

Waves, propagation of disturbances from nearby to area in a normal and prepared manner. Sound, light, and the motion of subatomic particles all exhibit wave-like properties, although the best known are surface waves that travel on water. A wave is a continuous and repetitive perturbation of a medium and a pulse is a single perturbation.

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a thundercloud whose base is 500m above the ground. The potential difference between the base of the cloud and the m ground is 200MV. A raindrop with a charge of 4.0 x 10–12C is in the region between the cloud and the ground. What is the electrical force on the raindrop? A 1.6 x 10–6N B 8.0 x 10–4N C 1.6 x 10–3N D 0.40N

Answers

Answer:

1.6×10⁻⁶ N.

Explanation:

From the question,

F = (V/r)q......................... Equation 1

Where F = Electric force on the raindrop, V = Potential difference between the base of the cloud and the ground, r = distance between the base of the cloud and the ground, q = the charge on a rain drop.

Given: V = 200MV = 200×10⁶ V, r = 500 m, q = 4.0×10⁻¹² C.

Substitute these values into equation 1

F = [(200×10⁶ )/500]×4.0×10⁻¹²

F = 1.6×10⁻⁶ N.

This question involves the concepts of potential difference and Columb's law.

The electrical force on the raindrop will be "A. 1.6 x 10⁻⁶ N".

ELECTRICAL FORCE ON THE RAINDROP

According to Columb's Law the electrical force on the raindrop can be given by the following formula:

\(F=\frac{kq_1q_2}{r^2}\)------ equation (1)

where,

F = electrical force on the raindrop = ?k = Columb's constantq₁ = charge on cloud q₂ = charge on raindrop = 4 x 10⁻¹² Cr = disatnce between cloud and ground = 500 m

Now, the potential difference between cloud and ground can be given by the following formula:

\(V=\frac{kq_1}{r}\)

substituting this value in equation (1), we get:

\(F=\frac{Vq_2}{r}\)

using values:

\(F=\frac{(2\ x\ 10^8\ V)(4\ x\ 10^{-12}\ C)}{500\ m}\)

F = 1.6 x 10⁻⁶ N

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As a warehouse worker pushes a crate across a concrete floor, the force he applies is not perfectly horizontal, as shown in the image below. If the coefficient of kinetic friction between the crate and concrete floor is 0.5, what is the net force on the crate?
A. 87 N
B. 110 N
C. 77 N
D. 135 N

Answers

The net force on the crate can be calculated using the formula Fnet = μmgcosθ, where μ is the coefficient of kinetic friction, m is the mass of the crate, g is the acceleration due to gravity, and θ is the angle between the force applied and the horizontal. In this case, μ = 0.5, m = 200 kg, g = 9.8 m/s2, and θ = 30°. Therefore, the net force on the crate is Fnet = (0.5)(200)(9.8)(cos30°) = 110 N. Therefore, the correct answer is B. 110 N.

5. What is the integral of the function x^4 in the interval from c to d?
90 POINTS!!!!!!!!!!!!!!!
I REALLY NEED WITH THIS ONE!!!!!!!!!!

Answers

Answer:

See below ~

Explanation:

Integrating x⁴ from c to d

\(\int\limits^c_d {x^{4} } \, dx\)\(\int\limits^c_d {\frac{x^{4+1} }{4+1} } \, dx\)\(\frac{x^{5} }{5} + C\)  [Final answer]

The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet the specification, the resistance must be within the range 100 ± 0.7 ohms. What proportion of gauges is acceptable?

Answers

Based on the given information, we need to determine the proportion of strain gauges that meet the specification of having a resistance within the range of 100 ± 0.7 ohms.

To find the proportion of acceptable strain gauges, we need to calculate the area under the normal distribution curve within the specified range.

First, we standardize the range by subtracting the mean and dividing by the standard deviation: (0.7 - 100) / 0.3 = -0.333. This gives us a standardized value of -0.333.

Next, we consult a standard normal distribution table or use statistical software to find the proportion of the area under the curve to the left of -0.333. Looking up this value in the table, we find that it is approximately 0.3707.

Since the normal distribution is symmetric, we multiply this proportion by 2 to account for the area to the right of the range as well. Therefore, the proportion of gauges that meet the specification is approximately 0.7414 or 74.14%.

In conclusion, approximately 74.14% of the strain gauges will have a resistance within the specified range of 100 ± 0.7 ohms, based on the given mean and standard deviation of the resistance values.

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How are objects identified and categorized in space;
list Three(3)

Answers

Explanation:

There are several methods to identify and categorize objects in space but the 3 important are:

•Mass/Size

•Revolution

•Gravity

Example:

If you look at the planet Mars you will identify it by many methods but the basic way to indentify it is by looking at it's gravitational pull, Mass and size of the planet and the revolution of the planet around the star.

You can also identify them by looking at their elements present in it (like mars is red due to presence of high amount of iron/red soil in it), and Like Saturn is mostly identified by it's rings. It's not always about planets but it's also about the asteroids, stars, Natural satterlites of planets (like moon) and more.

Hope this helps you

Have a nice day :)

in a two slit interference diffraction pattern there are 2d/a-1 interference peaks within the central diffraction maximum. how many interference peaks are there within other diffraction maxima

Answers

The number of interference peaks within other diffraction maxima depends on the specific order of the maximum. The first order maximum will have 2d/a-1 interference peaks, the second order maximum will have 4d/a-3 interference peaks, the third order maximum will have 6d/a-5 interference peaks, and so on. The general formula for the number of interference peaks within the nth order maximum is (2n-1)d/a-(n-1).

In a two-slit interference diffraction pattern, there are (2d/a - 1) interference peaks within the central diffraction maximum. For other diffraction maxima, the number of interference peaks varies and decreases as you move away from the central maximum due to the increasing angular separation between the peaks. It is important to note that the exact number of peaks in other maxima depends on the specific experimental setup and parameters such as slit width, slit separation, and wavelength of light used.

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4. A 2.00 kg object is accelerated uniformly from rest to 3.00 m/s while moving 1.5 m across a
level frictionless surface. Calculate the power output.

Answers

The power output of  2.00 kg object is accelerated uniformly from rest to 3.00 m/s while moving 1.5 m across a level frictionless surface is 24.09 watts.

What is power?

In science, power is the time required to do work or provide energy, expressed as work done W or energy transferred divided by the time interval t - or W/t. A fixed amount of work can be done for a long time with a low-powered engine, or for a short time with a high-powered engine. The unit of power is work (or energy) per unit of time. Such as foot pounds per minute, joules (or watts) per second, and ergs per second. Force can also be expressed as the product of the force required to move an object and the object's velocity in the direction of the force. If the magnitude of the force F is measured in pounds and the velocity ν is measured in feet per minute, then the power is equal to Fν foot pounds per minute.

Given,

Mass of object (m) = 2.00 kg

Distance covered (s) = 1.5 m

Velocity of object (v) = 3.00 m/s

For calculation of acceleration:

v² = u² + 2as

3² = 0 + 2 × a × 1.5

9 = 3a

a = 2 m/s²

For calculation of time:

s = ut + ¹/₂at²

1.5 = 0 × t + ¹/₂ × 2 × t²

1.5 = t²

t = 1.22 sec.

For calculation of gravitational force:

F = mg

F = 2 × 9.8

F = 19.6 N

For calculation of work done:

W = F × s

W = 19.6 × 1.5

W = 29.4 J

For calculation of power output:

P = W/t

P = 29.4/1.22

P = 24.09 watts

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A 1050 w electric toaster operates on a household circuit of 120 v. what is the resistance of the wire that makes up the heating element of the toaster

Answers

The Resistance of the wire that makes up the heating element of the toaster is 13.75Ω.

What is Resistance?

Resistance is the measure of the opposition to current flow in an electrical circuit.

S.I. Unit of resistance is ohms, symbolized by the Greek letter omega (Ω)

Also from Ohm's Law,\(R=\frac{V}{I}\)

From power-current relation

P=VI

Also, \(I=\frac{P}{V}\)

\(I = \frac{1050}{120}\)

I = 8.75 A

From Ohm's Law,\(R=\frac{V}{I}\)

\(R = \frac{120}{8.75}\)

R = 13.75 Ω

The Resistance of the wire is 13.75 Ω

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A smooth circular hoop with a radius of 0.500 m is placed flat on the floor. A 0.400-kg particle slides around the inside edge of the hoop. The particle is given an initial speed of 8.00 m/s. After one revolution, its speed has dropped to 6.00 m/s because of friction with the floor. (a) Find the energy transformed from mechanical to internal in the particle–hoop–floor system as a result of friction in one revolution. (b) What is the total number of revolutions the particle makes before stopping? Assume the friction force remains constant during the entire motion.

Answers

(a) The energy transformed from mechanical to internal as a result of friction in one revolution is 5.60 J. (b) The total number of revolutions the particle makes before stopping is 10.

(a) To find the work done, the energy transformed from mechanical to internal in the particle–hoop–floor system as a result of friction in one revolution, the following formula is used:

W = ΔK + ΔU + ΔE

The initial kinetic energy of the particle is:

(1/2)mv² = (1/2)(0.400 kg)(8.00 m/s)² = 12.8 J

The final kinetic energy of the particle is:

(1/2)mv² = (1/2)(0.400 kg)(6.00 m/s)² = 7.20 J

Therefore, the change in kinetic energy:

ΔK = Kf – Ki = 7.20 J – 12.8 J = –5.60 J.

The work done by friction is the energy transformed from mechanical to internal. Therefore, the work done is:

–W = –ΔK = –(–5.60 J) = 5.60 J.

Hence, the energy transformed from mechanical to internal in the particle–hoop–floor system as a result of friction in one revolution is 5.60 J.

(b) The work done by friction in one revolution is equal to the change in kinetic energy. Therefore, the work done by friction in n revolutions is n times the work done in one revolution.

W = –ΔK = 5.60J*n

W = 5.60 J

The final kinetic energy of the particle is zero. Therefore, the change in kinetic energy is equal to the initial kinetic energy. Hence,

(1/2)mv² = 12.8 Jv = 8.00 m/s

The time taken for the particle to stop is given by:

v = u – at

0 = 8.00 m/s – a*t

Therefore, t = 8.00 m/s/a

The distance covered by the particle before stopping is equal to the circumference of the hoop. Therefore, the distance is

2πr = 2π(0.500 m) = 3.14 m.

From the equations of motion,

s = ut + (1/2)at²

Therefore,

3.14 m = 8.00 m/s * t + (1/2) a t²

t² = 0.25*(3.14 m - 8.00 m/s*t)

t² = 0.785 – 2*t

3*t = 0.785t = 0.26 s

The acceleration of the particle is given by:

a = –F/m = –μg = –(0.200)(9.80 m/s²) = –1.96 m/s²

t = 8.00 m/s/a = 8.00 m/s/1.96 m/s² = 4.08 s

The time taken for one revolution is equal to the distance divided by the speed, which is 3.14 m/8.00 m/s = 0.3925 s.

n = t/T

n = 4.08 s/0.3925 s = 10.4 ≈ 10.

Therefore, the total number of revolutions the particle makes before stopping is 10.

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Explain the Difference between genetic diversity and ecosystem diversity?

Answers

Answer:

1. Genetic diversity are the differences in DNA among individuals within a species or population while ecosystem diversity is the number or variety of ecosystems within a particular area.

2. Genetic diversity is the genetic material of microorganisms,  plants and animals contains information that  determines the characteristics of all species and  individuals that make up the diversity of the living  world while the ecosystem diversity is the enormous range of terrestrial and  aquatic environments on earth has been classified into a number of ecosystems.

how many btus are required to change one pound of ice at 20°f to steam at 220°f?

Answers

To change one pound of ice at 20°F to steam at 220°F, approximately 1,054 BTUs (British Thermal Units) are required.

How many BTUs are needed to convert one pound of ice at 20°F to steam at 220°F?

To turn one pound of ice at 20°F to steam at 220°F, you need to supply approximately 1294 BTUs of energy. The process can be broken down into three steps.

Firstly, it requires approximately 144 BTUs to melt one pound of ice at 20°F into water at 32°F. Secondly, it takes around 180 BTUs to heat the water from 32°F to 212°F.

Finally, it takes approximately 970 BTUs to turn one pound of water at 212°F to steam at 220°F.

This process is known as the "heat of fusion" and "heat of vaporization," where a substance changes its state from solid to liquid, or liquid to gas, respectively. The energy required to undergo these state changes is referred to as latent heat. It is important to note that the amount of energy required to change the state of a substance is dependent on its mass.

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7) Find F1 and F2
HELP PLEASEEE

7) Find F1 and F2HELP PLEASEEE

Answers

The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

What is force?

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same

Answers

Answer:

a. increase

Explanation:

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

Which of these is the largest?
a. star
b. nebula
c. galaxy
d. sun

Answers

galaxy i’m pretty sure

Determine which wave carries the greater
amount of energy. explain

Determine which wave carries the greateramount of energy. explain

Answers

The second one( tryna fill the space )
The last one Bec water travel really fast

Need answers with work shown please and thank you!!!


8. Assume that an electron wave making a standing wave in a hydrogen atom has a wavelength of 1.67 x 10^-10 m. Considering the mass of an electron to be 9.11 x 10^-31 kg, use the de broglie equation to calculate the velocity of an electron in this orbit. (h=6.626 x 10^-34 Js)

9. A meter stick moves past you at great speed. If you measure the length of the moving meter stick to be 1ft, at what speed is the meter stick moving relative to you? (1 in=2.54cm)

10. If the charge to mass ratio of the electron is -1.76 x 10^-19 coulomb, what is the mass of the electron?

Need answers with work shown please and thank you!!!8. Assume that an electron wave making a standing

Answers

8. The velocity of the electron in this orbit is  4.35 x 10^6 m/s, 9. The meter stick is moving relative to the observer at  7.35 x 10^8 ft/s, and 10. the mass of the electron is 9.11 x 10^-31 kg.

8. The de Broglie equation states that the wavelength (λ) of a particle is equal to Planck's constant (h) divided by the particle's momentum (p): λ = h/p. We can rearrange this equation to solve for the momentum: p = h/λ.

In this problem, we are given the wavelength of an electron in a hydrogen atom (λ = 1.67 x 10^-10 m) and the value of Planck's constant (h = 6.626 x 10^-34 Js). Therefore, we can use the de Broglie equation to find the momentum of the electron:

p = h/λ = (6.626 x 10^-34 Js)/(1.67 x 10^-10 m) ≈ 3.96 x 10^-24 kg m/s

Next, we can use the formula for the momentum of a particle to find its velocity (v): p = mv, where m is the mass of the particle. Solving for v, we get:

v = p/m = (3.96 x 10^-24 kg m/s)/(9.11 x 10^-31 kg) ≈ 4.35 x 10^6 m/s

So, the velocity of the electron in this orbit is approximately 4.35 x 10^6 m/s.

9. We can use the concept of relativistic length contraction to solve this problem. When an object moves at high speeds relative to an observer, its length appears to be shorter in the direction of motion. The formula for the relativistic length contraction factor (γ) is:

γ = 1/√(1 - v^2/c^2)

where v is the speed of the object relative to the observer, and c is the speed of light.

In this problem, the length of the moving meter stick appears to be 1 ft (which is equivalent to 12 inches or 30.48 cm) to the observer. Therefore, we can use the relativistic length contraction formula to solve for the speed of the meter stick:

γ = 1/√(1 - v^2/c^2) = 1/√(1 - (30.48 cm/1 ft)^2/(2.54 cm/in)^2) ≈ 1.002

Squaring both sides of this equation, we get:

1 - v^2/c^2 = 1/γ^2 ≈ 0.998

Solving for v, we get:

v = c√(1 - 1/γ^2) ≈ 2.25 x 10^8 m/s

Converting this speed to feet per second (ft/s), we get:

v ≈ 7.35 x 10^8 ft/s

So, the meter stick is moving relative to the observer at approximately 7.35 x 10^8 ft/s.

10. The charge-to-mass ratio of the electron (e/m) is given as -1.76 x 10^-19 C/kg. We can use this value and the charge of the electron (e = -1.602 x 10^-19 C) to solve for the mass of the electron:

e/m = -1.76 x 10^-19 C/kg

m = e/(-1.76 x 10^-19 C/kg) = (-1.602 x 10^-19 C)/(-1.76 x 10^-19 C/kg) ≈ 9.11 x 10^-31 kg

So, the mass of the electron is approximately 9.11 x 10^-31 kg.

Hence. 8. The velocity of the electron in this orbit is  4.35 x 10^6 m/s, 9. The meter stick is moving relative to the observer at  7.35 x 10^8 ft/s, and 10. the mass of the electron is 9.11 x 10^-31 kg.

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