what is the relathion shop between perriod and frequency

Answers

Answer 1

Frequency is inversely proportional to the time period. That is, f = 1/T.

What is frequency?

This refers to the number of waves that passes a fixed place in a given amount of time.  Frequency is measured in hertz, this is equal to one event per second.

What is period, T ?

This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.

Note:  AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.

Mathematically :

f = 1/T

T =Total time,Period

f =  Frequency

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Related Questions

is light simply a small segment of the electromagnetic spectrum

Answers

Yes, light is simply a small segment of the electromagnetic spectrum. It is the part that our eyes can detect and perceive as visible light.

Light is a form of electromagnetic radiation, which is a type of energy that travels in waves. The electromagnetic spectrum is a range of all possible frequencies of electromagnetic radiation, including radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Each type of electromagnetic radiation has a different wavelength and frequency.

Visible light is the portion of the electromagnetic spectrum that is visible to the human eye. It consists of different colors ranging from red to violet. When we see an object, it is because light reflects off the object and enters our eyes. This reflected light is made up of different colors, and our eyes perceive them as different shades and hues.

So, yes, light is simply a small segment of the electromagnetic spectrum. It is the part that our eyes can detect and perceive as visible light.

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Yes, light is simply a small segment of the electromagnetic spectrum. To get a long answer, let us define electromagnetic spectrum and light.Electromagnetic Spectrum This is the range of all electromagnetic radiation.

Electromagnetic radiation is energy that travels in the form of waves. They include microwaves, X-rays, gamma rays, visible light, radio waves, and others. These waves do not require a medium to travel and can move through a vacuum. They all travel at the speed of light and have different wavelengths and frequencies.LightLight is a form of electromagnetic radiation with a wavelength between 400 and 700 nm. The color of the light depends on the wavelength. Violet light has the shortest wavelength, while red light has the longest wavelength. When light passes through a prism, it splits into different colors due to the different wavelengths of the colors.

Light is a tiny section of the electromagnetic spectrum. It is located between ultraviolet radiation and infrared radiation. Electromagnetic radiation is classified based on its wavelength and frequency. As a result, the electromagnetic spectrum is divided into various areas, each with its own unique properties, ranging from short wavelength and high-frequency radiation to long wavelength and low-frequency radiation. Light is only a tiny portion of the spectrum, as previously mentioned. It falls within the visible spectrum, which ranges from 400 to 700 nm. This region includes all of the colors we can see with our eyes. The other parts of the electromagnetic spectrum are not visible to our eyes and must be detected with specialized equipment.

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what is the wavelength of light that is deviated in the first order through an angle of 15.0 ∘ by a transmission grating having 5000 slits/cm ? assume normal incidence.

Answers

The wavelength of light will be  5.17 x10⁻⁷ m

Since we are given the angle of  15.0, and transmission grating having 5000 slits/cm, for a normal incidence

since we know the diffraction of first-order formula is :

d sineθ =nλ ,and the separation os the slits are : d= 1/N

=>d=1/ 5000  = 2x 10^-6 m

Now subsituing the value of d in the main formula of diffraction, where we get the wavelength of :

λ = dsine θ/ n

since here n is 1

λ=  2x 10 *sine 15.0/ 1

λ = 2x 10^-6 *0.2588   = 5.17 x10⁻⁷ m

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in an electricity experiment, a 1.3 g plastic ball is suspended on a 57-cm -long string and given an electric charge.. A charged rodbrought near the ball exerts a horizontal electrical forceFelec on it, causing the ball to swing out to a 20deg.angle and remain there.
a. What is the magnitude of Felec ?
b.What is the tension in the string?

Answers

The magnitude of Felec is 0.00029 N and The tension in the string is 0.0067 N in the given electricity experiment

The weight of the ball (mg) acting vertically downward

The tension in the string (T) acting upward and at an angle of 20 degrees above the vertical

The horizontal electrical force (Felec) acting to the right

Since the ball is in equilibrium (i.e., not accelerating), the sum of the forces in the horizontal and vertical directions must be zero:

Horizontal direction: Felec = Tsin(20)

Vertical direction: mg = Tcos(20)

a. To find the magnitude of Felec, we can substitute the expression for T from the horizontal equation into the vertical equation:

mg = (Felec / sin(20)) * cos(20)

Solving for Felec:

Felec = mg * tan(20)

Felec = (0.0013 kg * 9.81 m/s^2) * tan(20)

Felec = 0.00029 N

Therefore, the magnitude of Felec is 0.00029 N.

b. To find the tension in the string, we can substitute the expression for Felec from the horizontal equation into the vertical equation:

mg = (T*sin(20)) / cos(20)

Solving for T:

T = mg * cos(20) / sin(20)

T = (0.0013 kg * 9.81 m/s^2) * cos(20) / sin(20)

T = 0.0067 N

Therefore, the tension in the string is 0.0067 N.

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In one sentence describe how modeling is used in science

Answers

Answer:

Modeling is used in science to simplify complex systems and phenomena, allowing scientists to make predictions and test hypotheses.

Explanation:

A model is a representation of a concept,an item, a procedure, or even a system that is used in science to describe and explain events that cannot be directly observed.

A 4.0-L balloon at 300 K is placed in a cooler at 245 K. What is the volume of the balloon after it has been in the cooler?Write the
name of the Formula. Write the formula. Show all of your work.

Answers

A 4.0-L balloon at 300 K is placed in a cooler at 245 K; the volume of the balloon after it has been in the cooler is 3.27 L, and the formulas are PV = nRT, which is an ideal gas law formula, and then by using V1/T1 = V2/T2, the answer is derived.

What is the calculation for volume?

PV = nRT

(P = pressure, V = volume, n = number of moles of gas, R = ideal gas constant, T = temperature)

Suppose, the number of moles and pressure remain constant,

V1/T1 = V2/T2

(V1 = initial volume, T1 = initial temperature, V2 = final volume, T2 = final temperature)

After putting values,

V2 = (V1 x T2) / T1

V2 = (4.0 L x 245 K) / 300 K

V2 = 3.27 L

Hence, the volume of the balloon after it has been in the cooler is 3.27 L, and the formulas are PV = nRT, which is an ideal gas law formula.

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How long does it take a car to slow down from 52. 0 m/s to 6. 0 m/s if it


accelerates at a rate of -3. 0 m/s^2? *

Answers

According to the information it takes approximately 15.3 seconds for the car to slow down from 52.0 m/s to 6.0 m/s.

How to find the time the car takes to slow down?

To find the time it takes for the car to slow down, we can use the kinematic equation:

vf = vi + at

Where:

vf = final velocity (6.0 m/s)vi = initial velocity (52.0 m/s)a = acceleration (-3.0 m/s^2)t = time

Rearranging the equation to solve for time, we have:

t = (vf - vi) / a

Substituting the given values:

t = (6.0 m/s - 52.0 m/s) / (-3.0 m/s²)t = (-46.0 m/s) / (-3.0 m/s²)t ≈ 15.3 seconds

According ot the information we can infer that it takes approximately 15.3 seconds for the car to slow down from 52.0 m/s to 6.0 m/s when it accelerates at a rate of -3.0 m/s².

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In the data table , distance is measured in meters and time is in seconds. Calculate the mans average velocity using the equation (average velocity= total distance/total time.

In the data table , distance is measured in meters and time is in seconds. Calculate the mans average

Answers

Answer:

3.626 m/s

Explanation:

v=d/t

1. -0.02/0 = 0 m/s

2. 0.86/0.2 = 4.3 m/s

3. 1.71/0.4 = 4.275 m/s

4. 2.54/0.6 = 4.23 m/s

5. 3.32/0.8 = 4.15 m/s

6. 4.08/1.0 = 4.08 m/s

7. 4.79/1.2 = 3.99 m/s

8. 5.48/1.4 = 3.91 m/s

9. 6.15/1.6 = 3.84 m/s

10. 6.76/1.8 = 3.76 m/s

11. 7.37/2.0 = 3.66 m/s

12. 7.92/2.2 = 3.6 m/s

13. 8.45/2.4 = 3.52 m/s

14. 8.96/2.6 = 3.45 m/s

the mean of these numbers is 3.626

his average velocity ks 3.626 m/s

A particle moves along a straight line, if velocity of the particle v = 2t2, then the acceleration versus time graph will be


Parabola


Circle


Straight line


Rectangular hyperbola

Answers

If a particle moves along a straight line, if the velocity of the particle v = 2t², then the acceleration versus time graph will be a straight line, therefore the correct answer is option C,

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As we know the rate of change of velocity is known as acceleration

acceleration =change in velocity/change in time

As given in the problem If a particle moves along a straight line, if the velocity of the particle v = 2t²,

acceleration = dv/dt

                     =d ( 2t²)/dt

                     =4t

Thus, the acceleration versus time graph would be a straight line.

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In a single-slit diffraction experiment, the width of the slit through which light passes is reduced. What happens to the width of the central bright fringe? a. It stays the same. b. Its behavior depends on the wavelength of the light c. It becomes wider. d. It becomes narrower.

Answers

If the width of the slit through which light passes is reduced in a single-slit diffraction experiment, the width of the central bright fringe becomes narrower. Correct answer is option d.

The central bright fringe is formed when the waves from all parts of the slit arrive in phase. When the slit is narrowed, the width of the central bright fringe decreases because the light waves passing through the slit interfere with each other more, causing the diffraction pattern to become more spread out.

This leads to the central bright fringe becoming narrower as compared to the original width of the fringe. Therefore, option (d) is the correct answer.

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What is coefficient of friction formula?

Answers

The formula for calculating the coefficient of friction is given by:

μ = F / N.

The coefficient of friction formula is a mathematical equation used to calculate the amount of frictional force that exists between two surfaces in contact with each other.

The coefficient of friction is a dimensionless quantity that represents the ratio of the frictional force between two surfaces to the normal force pressing them together.

The formula for calculating the coefficient of friction is given by:

μ = F / N

where μ is the coefficient of friction, F is the frictional force acting between the two surfaces, and N is the normal force pressing the surfaces together.

The coefficient of friction can have values ranging from 0 to 1. A value of 0 indicates no friction between the surfaces, while a value of 1 indicates maximum friction. The coefficient of friction is an important parameter in many engineering and physics applications, such as in designing brakes for vehicles and calculating the force required to move objects over different surfaces.

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k+ what is mass number (a)?​

Answers

Answer:

mass number of K+ is 39 amu.

The energy of motion is called ......

Answers

Answer:

kinetic energy

Explanation:



1. Old Faithful is a geyser in Yellowstone National Park. This geyser erupts when hot water from
underground shoots up into the air through an opening in the ground. When this happens, the ground
surrounding the water increases in temperature. What happens to the molecules in the ground when
he temperature increases?

a
More heat molecules combine with the molecules in the ground.

b
The energy of the molecules in the ground decreases.

c
The energy of the molecules in the ground increases.

d
The cold energy of the molecules in the ground decreases.

Please help thanks!!

Answers

Answer:

c

Explanation:

i just did the test

The energy of the molecules in the ground increases in the given case when the temperature increases.

• The heat of the Earth is released in both conduction and convection in Yellowstone Park.  

Conduction takes place when the transferring of heat takes place from something hot to something cold.  

• On the other hand, convection takes place when the transferring of heat takes place by the movement of hot gases or liquids like water, air, or magma to a cooler region.  

• The same phenomenon takes place underneath the Yellowstone. The convection of the molten rock in the magma chamber underneath transfers heat via the caldera of Yellowstone.  

• Near the surface of the ground, the convection of heat water results in the hot springs and geysers in the park.  

Thus, when the temperature increases, the energy of the molecules in the ground also increases resulting in the formation of geysers. The correct answer is option c.

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falling raindrops frequently develop electric charges. does this create noticeable forces between the droplets? suppose two 1.8 mg drops each have a charge of 29 pc . the centers of the droplets are at the same height and 0.36 cm apart.

Answers

The electric force between the droplets, and the horizontal acceleration this force produce on the droplets are: 5.84*10^-7 N and 0.32 m/s² respectively

What is electric force?

In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.

To solve this exercise the electric force formulas and the procedures we will use are:

F = (k * q1 * q2)/r²F = m * a

Where:

F = electric forcek = coulomb constantq1 = charge 1q2 = charge 2m = massa = accelerationr = separation distance of the charges

Given Info:

q1= 29 pC = 2.9*10^-11 Cq2= 29 pC = 2.9*10^-11 Cr = 0.36 cm = 3.6*10^-3 mm= 1.8 mg= 1.8*10^-6 kgF =?k= 9 *10^9 N*m²/C²a=?

Applying the electric force formula we have:

F = (k * q1 * q2)/r²

F = [(9 *10^9 N*m²/C² * (2.9*10^-11 C) * (2.9*10^-11 C)]/ (3.6*10^-3 m)²

F = 7.569*10^-12 N*m² /1.296*10^-5 m²

F = 5.84*10^-7 N

Applying the force formula and clearing the acceleration, we get:

a= F/m

a= 5.84*10^-7 N/ 1.8*10^-6 kg

a= 0.32 m/s²

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question: a 7.0 g bullet is fired into a 1.5 kg ballistic pendulum. the bullet emerges from the block with a speed of 200 m/s, and the block rises to a maximum height of 9.4 cm. find the initial speed of the bullet.

Answers

The u1 =initial speed of the  bullet= 490.86 m/sec is the correct answer.

What is linear momentum?

Linear momentum is a vector quantity that describes an object's motion through space. It is calculated by multiplying the mass of an object by its velocity. Momentum is conserved in closed systems, meaning that it is not changed by any action within the system. This makes it a very useful tool for analyzing the motion of objects and predicting their behavior. Momentum can be transferred between objects, and is often used to describe collisions. It is also used to describe the effects of forces on objects, such as how a force can cause an object to accelerate or decelerate. Momentum is an important concept in physics, and can be used to describe a variety of physical phenomena.

Using conservation of linear momentum, we write

 m1u1 +  m2 u2 = m1 v1  +  m2v2

where u1 ,u2  are the initial velocities of masses m1 and m2

where v1 ,v2  are the final velocities of masses m1 and m2

hence  (.007) (u1)  + 1.5(0) =  1.5(v2)  +  .007(200).........................1

using energy equation for the block alone we get

mgh  = 1/2 m (v2)^2

hence    9.8(.094) =.5 (v2)^2

hence v2=1.357 m/sec

substitute it in 1

we get,            

u1 =initial speed of the  bullet= 490.86 m/sec

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A system is heated with 134 J of energy and, at the same time, the system expands, doing 89 J of work. What is the change in internal energy of the system, in Joules

Answers

The change in internal energy of the system after the heat is added and the system expands doing work to the surrounding is 45 J.

Change in internal energy of the system

The change in internal energy of the system is determined by applying the first law of thermodynamics as shown below;

ΔU = q - w

where;

ΔU is the change in the internal energyq is heat added to the systemw is work done to the surroundings

ΔU = 134 J - 89 J

ΔU = 45 J

Thus, the change in internal energy of the system after the heat is added and the system expands doing work to the surrounding is 45 J.

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What is the period of a satellite in a circular orbit just above the surface of the Moon? The Moon’s mass is 7.36 × 1022 kilograms and its radius is 1.738 × 106 meters.

Answers

Answer:

F / m = a = G M / R^2            formula for gravitational attraction

a = ω^2 R   formula for centripetal force for an object with radius R

G M / R^2 = ω^2 R equating accelerations

ω = (G M / R^3)^1/2

ω = 2 pi f = 2 pi / P      for circular motion

P = 2 pi (R^3 / (G M))^1/2

R^3 / (G M) = (1.738E6)^3 / (6.67E-11 * 7.36E22)  = 1.07E6

P = 6.28 * 1034 sec = 6500 sec = 1.80 hrs

A bike starts from rest and accelerates to a speed of 15 m/s
over the course of 5 seconds. The average acceleration of the
bike is m/s2

Answers

Answer:

please find attached pdf

Explanation:

For an emitted wavelength of 490 nanometers and a red shift parameter of 0. 4 what will be the observed wavelength? What color will this light be?

Answers

Since the observed wavelength is 686 nm, the color of this light will be red.

The emitted wavelength of a source is 490 nanometers, and the redshift parameter is 0.4. Determine the observed wavelength, as well as the light's color.

The formula for calculating the redshift parameter (z) is given as: z = Δλ / λ_emitted, where λ_emitted is the emitted wavelength, and Δλ is the change in the observed wavelength (which is positive for a redshift).Δλ = z * λ_emittedΔλ = 0.4 * 490 nm = 196 nm

The observed wavelength is equal to the sum of the emitted wavelength and the change in wavelength, which is:λ_observed = λ_emitted + Δλλ_observed = 490 nm + 196 nm = 686 nm

The observed wavelength is 686 nm. Since this wavelength is within the range of visible light, we can identify the color. Red light has a longer wavelength than any other color of visible light (the longest visible wavelength is around 750 nanometers).

Therefore, since the observed wavelength is 686 nm, the color of this light will be red.


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what temperature change is required to change the length of a 5.5-m steel beam by 0.0012m?

Answers

Answer:

Length of steel = 5.5 m

Increase in length = 0.0012 m

α of steel = 12 x 10-6/K

To find:

Temperature change needed ?

Calculation:

Let the required temperature change be ∆T. (in the photo)

So, temperature change of 18.1 Kelvin is required

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what temperature change is required to change the length of a 5.5-m steel beam by 0.0012m?

When work is done by a system, does the internal energy of the system increase or decrease?

Answers

Answer:

Decrease

Explanation:

The mathematical relationship between heat, internal energy and work done by the system is given as:

△U = Q + W

where △U is the change in the internal energy

W is the workdone by the system

Q is the heat energy in the system

Since the workdone by the system is negative, when a system does work, there is a depletion in the amount of energy possessed by the system.

Due to this loss of energy by the system as a result of the workdone, the internal energy decreases.

A charge of 6.5 x 10-5 C is attracted by another charge with a force of 250 N when
they are separated by 0.15 m. Find the magnitude of the other charge.
8.65 X 105 C
9.62 × 10-2 C
6.15 x 10-6 C
O 9.62 x 10 c

Answers

Answer:

We can use Coulomb's law to solve this problem:

F = k * q1 * q2 / r^2

where F is the force between the two charges, k is Coulomb's constant (k = 9 x 10^9 N m^2 / C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between them.

We know the force F, the distance r, and the magnitude of one of the charges q1. We can rearrange the equation to solve for the magnitude of the other charge q2:

q2 = F * r^2 / (k * q1)

Substituting the values we have:

q2 = (250 N) * (0.15 m)^2 / (9 x 10^9 N m^2 / C^2 * 6.5 x 10^-5 C)

Simplifying:

q2 = 8.65 x 10^5 C

Therefore, the magnitude of the other charge is 8.65 x 10^5 C.

Rubbing alcohol swab on the skin feels cool because A. liquid alcohol transfers cold temperature to the skin B. the density of alcohol is less than water • C. alcohol destroys skin microorganisms and they give off cold heat as they die D. skin transfers heat to the liquid alcohol and the alcohol evaporates

Answers

Because skin conducts heat to the liquid alcohol and evaporation occurs, rubbing alcohol swabs on the skin feels chilly.

How, therefore, does this relate to rubbing alcohol?Due to its lower boiling point than water, alcohol evaporates much more quickly. It becomes colder to the touch as a result of the increased speed at which heat can be transported. Try this experiment to see this so-called "chilling science" in action.At normal temperature, the bonds between isopropyl alcohol molecules are weaker than those between water molecules, which causes the alcohol to evaporate more quickly than water. In addition to carrying more heat energy, more molecules take flight. A stronger cooling effect results from this.Because skin conducts heat to the liquid alcohol and evaporation occurs, rubbing alcohol swabs on the skin feels chilly.          

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What is the velocity of a motercycle traveling 13 km west in 3 hours

Answers

4.333333 kilometers an hour

the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration​

Answers

Answer:

acceleration = v-u/ t

= 15-10/5

= 5/5

= 1 m/s2

Explanation:

hope this helped you.

Answer:

\(\boxed {\boxed {\sf 1 \ m/s^2}}\)

Explanation:

Acceleration is the change in velocity over the change in time. Therefore, the formula for calculating acceleration is:

\(a= \frac{v_f-v_i}{t}\)

Since the body's velocity increased from 10 meters per second to 15 meters per second 15 m/s is the final velocity and 10 m/s is the initial velocity. The time is 5 seconds.

\(v_f\)= 15 m/s \(v_i\)= 10 m/s t= 5 s

\(a= \frac{ 15 \ m/s - 10 \ m/s}{5 \ s}\)

Solve the numerator.

15 m/s - 10 m/s = 5 m/s

\(a= \frac{ 5 \ m/s }{5 \ s}\)

Divide.

\(a= 1 \ m/s/s\)

\(a= 1 m/s^2\)

The acceleration is 1 meter per second squared.

Ou are approaching a railroad crossing with no warning devices and are unable to see 400 feet down the tracks in one direction. the speed limit is:______

Answers

In conclusion,it is advisable to approach such a crossing with caution, reduce your speed, and be prepared to stop. Safety should always be the top priority when encountering railroad crossings without warning devices.

The speed limit at a railroad crossing with no warning devices and limited visibility of 400 feet down the tracks in one direction is not explicitly stated.

However, it is important to note that in such situations, caution and attentiveness are key to ensure safety.
When approaching a railroad crossing without warning devices, it is crucial to reduce your speed and be prepared to stop. The lack of warning devices means that there might be a train approaching, and your ability to see down the tracks is limited to only 400 feet.

Therefore, reducing your speed allows you to have more time to react and make a safe decision.
In conclusion,it is advisable to approach such a crossing with caution, reduce your speed, and be prepared to stop. Safety should always be the top priority when encountering railroad crossings without warning devices.

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Problem 4.33 A dielectric cube of side a, centered at the origin, carries a "frozen- in" polarization P = kr, where k is a constant. Find all the bound charges, and check that they add up to zero. Problem 4.35 A point charge q is imbedded at the center of a sphere of linear dielectric material (with susceptibility Xe and radius R). Find the electric field, the polarization, and the bound charge densities, P. and op. What is the total bound charge on the surface? Where is the compensating negative bound charge located?

Answers

(P4.33) A dielectric cube of side a, centered at the origin, carries a "frozen- in" polarization" P = kr, where k is a constant.(a)The total bound charge is given by Q_b, and since it is proportional to a^3, the bound charges will add up to zero only if k = 0. Otherwise, there will be a non-zero net bound charge.(P4.35)The total bound charge on the surface is given by Q_b, which is equal to -2χ_e q.

Problem 4.33, we have a dielectric cube of side length a centered at the origin. The polarization is given as P = kr, where k is a constant.

To find the bound charges, we need to consider the divergence of the polarization. The bound charge density, ρ_b, is given by:

ρ_b = -∇ · P

In this case, since P = kr, we can calculate the divergence:

∇ · P = ∂(krx)/∂x + ∂(kry)/∂y + ∂(krz)/∂z

= k + k + k

= 3k

Therefore, the bound charge density is:

ρ_b = -3k

To check if the bound charges add up to zero, we need to integrate the bound charge density over the volume of the cube:

Q_b = ∫∫∫ ρ_b dV

Since the polarization is "frozen-in" and the cube is centered at the origin, we can integrate over the volume of the cube:

Q_b = ∫∫∫ (-3k) dV

= -3k ∫∫∫ dV

= -3k (Volume of the cube)

= -3k (a^3)

The total bound charge is given by Q_b, and since it is proportional to a^3, the bound charges will add up to zero only if k = 0. Otherwise, there will be a non-zero net bound charge.

Problem 4.35, we have a point charge q embedded at the center of a sphere with linear dielectric material of susceptibility χ_e and radius R.

To find the electric field, polarization, and bound charge densities, we can use Gauss's Law for dielectric materials. The electric field inside the dielectric sphere is given by:

E = q / (4πε_0 χ_e R^2) * r

where r is the radial distance from the center.

The polarization, P, is related to the electric field by:

P = χ_e ε_0 E

Substituting the expression for E, we get:

P = χ_e q / (4πR^2) * r

The bound charge density, ρ_b, is given by:

ρ_b = -∇ · P

Since P only has a radial component, the divergence simplifies to:

∇ · P = ∂(χ_e q / (4πR^2) * r)/∂r

= χ_e q / (2πR^2)

Therefore, the bound charge density is:

ρ_b = -χ_e q / (2πR^2)

To find the total bound charge on the surface of the sphere, we integrate the bound charge density over the surface area:

Q_b = ∫∫ ρ_b dA

Since the bound charge is on the surface, we can integrate over the surface area of the sphere:

Q_b = ∫∫ (-χ_e q / (2πR^2)) dA

= -χ_e q / (2πR^2) ∫∫ dA

= -χ_e q / (2πR^2) (Surface area of the sphere)

= -χ_e q / (2πR^2) (4πR^2)

= -2χ_e q

The total bound charge on the surface is given by Q_b, which is equal to -2χ_e q. The negative bound charge is located on the surface of the sphere, compensating for the positive charge at the center.

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Charcoal from an ancient fire pit is found to have a carbon-14 activity of 0. 121 Bq per gram of carbon.


what is the age of your firepit?

Answers

Potential contamination or changes in the atmospheric carbon-14 levels over time can affect the accuracy of the age estimation. To determine the age of the fire pit, we need to use the concept of the half-life of carbon-14 and its decay equation.

The half-life of carbon-14 is 5,730 years, which means that after 5,730 years, half of the carbon-14 in a sample will have decayed.

Carbon-14 dating relies on measuring the activity of carbon-14 in a sample. The activity is given in becquerels (Bq), which represents the number of radioactive decays per second.

Given that the carbon-14 activity of the charcoal from the fire pit is 0.121 Bq per gram of carbon, we can use this information to determine the age of the fire pit.

First, we need to convert the carbon-14 activity into a decay constant. The decay constant (λ) can be calculated using the formula:

λ = ln(2) / half-life

λ = ln(2) / 5730 years (using the half-life of carbon-14)

Next, we can use the decay equation to find the age of the fire pit. The decay equation is given by:

N(t) = N₀ * e^(-λt)

where N(t) is the current amount of carbon-14, N₀ is the initial amount of carbon-14, λ is the decay constant, and t is the time in years.

We can rearrange the equation to solve for t:

t = -ln(N(t) / N₀) / λ

Given that the current activity (N(t)) is 0.121 Bq/g and assuming the initial activity (N₀) was higher (as carbon-14 decays over time), we can estimate an initial activity and calculate the age:

N₀ = 10 * N(t) (assuming an initial activity that is roughly ten times higher)

t = -ln(0.121 Bq/g / (10 * 0.121 Bq/g)) / λ

Now we can calculate the age using the above equation.

Please note that this calculation assumes certain simplifications and approximations. Additionally, other factors such as potential contamination or changes in the atmospheric carbon-14 levels over time can affect the accuracy of the age estimation. Advanced techniques and further analysis are often employed in radiocarbon dating to obtain more precise results.

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PLS HELPP

Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after they’ve been touching for a while, and why.

PLS HELPPRowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put

Answers

The other pancakes are at various temperatures and Conduction refers to the mode of transfer of thermal energy that arise when the two bodies are in close contact.

Briefing:

The other pancakes are presumably at different temperatures in this scenario. If this is the case, then due to the thermal energy transfer, the pancake with the highest temperature should be the warmest at the bottom. Conduction is the process through which thermal energy is transferred when two bodies are in close proximity to one another.

How is temperature measure?

Thermometers are used to measure the air's temperature. Common thermometers have a glass rod inside of which is a very thin tube. A liquid is delivered to the tube from a reservoir, or "bulb," at the thermometer's base. Sometimes the liquid is reddish alcohol, and other times it is mercury.

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Why does the golf ball sink in
water, while the beach ball
floats?

A- The beach ball weighs less than
the golf ball
B- The golf ball has a higher density
than the beach ball
C- The beach ball has a higher
density than the golf ball
D- The golf ball has more mass than
the beach ball

Answers

B is the correct answer.
The right answer is B
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