can anyone help with this?

The length of the box that absorbs the light is;

L =6.74 × 10^(-10) m

Given;

Longest wavelength of spectrum; λ = 500 nm = 500 × 10^(-9) m

The formula for energy of quantization is;

E = h²n²/8mL²

Also, Energy of a photon is;

E = hc/λ

Thus;

hc/λ = h²n²/8mL²

h will cancel out to give;

c/λ = hn²/8mL²

Where;

h is Planck's constant = 6.626 × 10^(-34) m².kg/s

c is speed of light = 3 × 10^(8) m/s

λ is wavelength = 500 × 10^(-9) m

L is length of box

m is mass of electron = 9.11 × 10^(-31) kg

n² is difference in energy levels = (2² - 1²) = 3

Making L the subject gives;

L = √(hn²λ/8mc)

Thus;

L = √((6.626 × 10^(-34) × 3 × 500 × 10^(-9))/(8 × 9.11 × 10^(-31) × 3 × 10^(8))

L = √(4.5458287596 × 10^(-19))

L = 6.74 × 10^(-10) m

The electron is a subatomic  particle with a bad one standard electric charge. Electrons belong to the primary technology of the lepton particle own family, and are typically thought to be fundamental particles because they have no recognized additives or substructure.

For most realistic purposes, an electron is a structureless particle with an intrinsic angular momentum, or spin. simply two numbers — the electron's mass and its electric price — gasoline the equations that describe its behaviour. From this 'sensible electron' version, physicists constructed present day microelectronics.

By using the best values for the wave-length and the scattering by matter of tough X-rays and ?-rays, the radius of the electron is anticipated as approximately 2 × 10^-10 cm.

Read more at; brainly.com/question/13405242

#SPJ4

The correct answer is, length = 6.74 × 10⁻¹⁰ m

Data given to us;

Longest wavelength of spectrum; λ = 500 nm = 500 × 10⁻⁹ m

The formula for energy of quantization is;

E = h²n²/8mL²

Energy of the proton can be calculated by

E = hc/λ

hc/λ = h²n²/8mL²

c/λ = hn²/8mL²

Where;

h = Planck's constant = 6.626 × 10⁻³⁴ m².kg/s

c = speed of light = 3 × 10⁸ m/s

λ = wavelength = 500 × 10⁻⁹ m

L = length of box

m = mass of electron = 9.11 × 10⁻³¹ kg

n² = difference in energy levels = (2² - 1²) = 3

We can find the length easily by the above formula,

L = √(hn²λ/8mc)

L = √((6.626 × 10⁻³⁴ × 3 × 500 × 10⁻⁹)/(8 × 9.11 × 10⁻³¹× 3 × 10⁸)

L = √(4.5458287596 × 10⁻¹⁹

L = 6.74 × 10⁻¹⁰ m

Therefore, the length of the box is 6.74 × 10⁻¹⁰ m.

To know more about the length, refer: https://brainly.com/question/17197203

#SPJ4

If a machine allows us to apply less force to do work, the cost is that we must apply the force over a greater distance.

The above is so because, according to the principle of work and energy, the amount of work done remains constant, but the force and distance can be traded off. In other words, if we decrease the force required to do a certain amount of work, we must increase the distance over which the force is applied in order to compensate.

Therefore, For example, consider a simple lever. By using a lever, we can apply less force to lift a heavy object, but we must move the lever over a greater distance in order to do so. The work done, which is the product of the force and the distance, remains constant. In this case, the force is reduced, but the distance over which it is applied is increased.

Learn more about machine from

https://brainly.com/question/388851

#SPJ1

The glass bead has a 0.001 m radius. The distance between the first and second points from the bead's center is 0.003 and 0.005 meters, respectively.

The radius of a circular is the distance a circle's center from any point along its perimeter. Usually, "R" or "r" is used to indicate it.

A radius is indeed a line segment that has one endpoint in the circle's center and the other terminus on the circumference of the circle. Circle's diameter equals the radius The diameter of a circle is a line segment that has its ends on the circle and passes through its center. Radius x 2 equals the diameter.

To know more about radius visit:

https://brainly.com/question/13067441

#SPJ4

Answer:

1)

Acceleration (a)=change in velocity/ change in time

Velocity (v)=90m/s

Time=0.0005s

a=90/0.0005

The acceleration =180000m/s^2 or 180km/s^2

Force = mass x acceleration

m=40g= 0.04kg

F= 0.04x 180000

F= 7200N or 7.2kN

Explanation:

Answer:

Central City is the county seat and the most populous municipality of Gilpin County. The city is a historic mining settlement founded in 1859 during the Pike's Peak Gold Rush and came to be known as the "Richest Square Mile on Earth".

The minimum amplitude of the resultant pulse is 10 cm.

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

Learn more about  minimum amplitude in brainly.com/question/26033167

#SPJ1

Answer:

50.176 [m].

Explanation:

1) the required height can be calculated using the formula:

h=V₀*t+1/2* g*t₂, where V₀ - initial velocity of the rock, t - elapsed time, g - 9.8 m/s²;

2) if V₀=0, t=3.2, g=9.8, then

h=0.5*9.8*3.2²=1024*49*10⁻³=50.176 [m].≈50[m].

Answer:

Earthquakes are likely to occur along the San Andreas Fault.

Explanation:

Answer:

4000 J

Explanation:

KE = (1/2)(m)(v^2)

KE = .5*500*(4^2)

KE = 4000 J

Answer:The stones will be at the same height of 62.59 feets 4.4 seconds later.

Explanation:

The coefficient of kinetic friction between the block and the surface is approximately 0.31.

The coefficient of kinetic friction is a measure of the frictional force between two surfaces in contact when they are in motion relative to each other. It is defined as the ratio of the frictional force to the normal force between the two surfaces.

In this problem, the normal force on the block is equal to its weight, which can be calculated as mg, where m is the mass of the block and g is the acceleration due to gravity.

The force required to set the block in motion is equal to the frictional force, which can be calculated as μkmg, where μk is the coefficient of kinetic friction. The force required to keep the block moving at a constant speed is equal to the frictional force, which can be calculated as μkmg.

Therefore, we can set up the following equation:

μkmg = 71.0 N

μkmg = 61.0 N

Solving for μk, we get:

μk = 71.0 N / (mg)

μk = 61.0 N / (mg)

Since the mass of the block is given as 24.0 kg, we can substitute this value into the equation:

μk = 71.0 N / (24.0 kg * g)

μk = 61.0 N / (24.0 kg * g)

where g is the acceleration due to gravity, which is approximately 9.81 m/s².

Simplifying the equations, we get:

μk = 0.31

μk = 0.27

To learn more about kinetic friction click on,

https://brainly.com/question/14778375

#SPJ4

i think the answer is D 10.0

ANSWER:

$ 12177

STEP-BY-STEP EXPLANATION:

We must calculate the area of the playground, knowing that the area is equal to length times width, like this:

Now, knowing the area, we can calculate the total cost, like this:

The resurfacing cost is $ 12177

Safety symbols, danger symbols, or safety labels are graphical symbols that warn of or indicate hazards linked with an area or object. Images, pictograms, forms, words, phrases, sentences, or statements placed on walls, boards, buildings, doors, entrances, machinery, equipment, tools, transportation, roadways, or any other visible location are examples of safety symbols. The symbol alerts people to the presence of hazardous products or substances, as well as a hazardous environment, and warns them on how to stay safe or the potential repercussions if not avoided.

The given symbol means hammer.

A hammer is a hand tool that consists of a weighted "head" attached to a long handle and swung to produce an impact to a limited region of an item. This may be used to drive nails into wood, shape metal, or crush rock.

While all of these hammers have a round head for driving nails, the claw end may be used for prying, splitting wood, ripping drywall, and other minor demolition chores. A claw hammer's claw is curved, whereas a framing hammer's claw is straight. These hammers are ideal for the following tasks: woodworking

Learn  more about hammer https://brainly.com/question/12924549

#SPJ9

The moment inertia of the boxer's forearm is 0.43 kgm².

We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as

τ = F x r

where τ is torque, F is perpendicular force and r is radius.

Torque also depends on the moment inertia

τ = I . α

where I is inertia and α is angular acceleration.

From the question above, the given parameters are

F = 1975 N

r = 2.5 cm = 0.025 m

α = 115 rad/s²

Substitute the first equation with the second equation and we can calculate the inertia of the boxer's forearm

τ = τ

F x r = I . α

1975 . 0.025 = I . 115

I = 0.43 kgm²

Find more on moment inertia at: https://brainly.com/question/14839816

#SPJ4

When you change the thickness of the wire in a circuit, option B. the resistance (R) and current (I) will also change, but the voltage (V) will remain constant.

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area (thickness). As the thickness of the wire changes, the cross-sectional area changes, which in turn affects the resistance. Thicker wires have a larger cross-sectional area, resulting in lower resistance, while thinner wires have a smaller cross-sectional area, resulting in higher resistance. Therefore, changing the thickness of the wire will cause a change in resistance.

According to Ohm's Law (V = IR), the voltage (V) in a circuit is equal to the product of the current (I) and the resistance (R). If the voltage is kept constant, and the resistance changes due to the thickness of the wire, the current will also change to maintain the relationship defined by Ohm's Law. When the resistance increases, the current decreases, and vice versa.

However, it's important to note that changing the thickness of the wire will not directly affect the voltage. The voltage in a circuit is determined by the power source or the potential difference applied across the circuit and is independent of the wire thickness. As long as the voltage source remains constant, the voltage across the circuit will remain constant regardless of the wire thickness. Therefore, the correct answer is option B.

know more about current here:

https://brainly.com/question/1100341

#SPJ8

The magnitude of the angular momentum of the point mass about the center of the circle is \($7.1676\ \text{kg}\ \text{m}^2/\text{s}$\).

The angular momentum of a rotating object is defined as the product of its moment of inertia and its angular velocity with respect to an axis of rotation. In this case, we have a point mass of 3.2 kg traveling around a circle of radius 0.45 m with an angular velocity of 11.0 rad/s.

To calculate the angular momentum of the point mass about the center of the circle, we first need to find its moment of inertia. For a point-mass rotating around an axis passing through its center of mass, the moment of inertia is simply the mass times the square of the radius, i.e., \(I = mr^2\). Thus, the moment of inertia of our point mass is:

\(I = (3.2 kg) \times (0.45 m)^2 = 0.6516 kg m^2\)

Now, we can calculate the angular momentum L of the point-mass about the center of the circle using the formula:

L = I x w

where w is the angular velocity of the point mass. Plugging in the values we have:

\($L = (0.6516 \text{ kg m}^2) \times (11.0 \text{ rad/s}) = 7.1676 \text{ kg m}^2/\text{s}$\)

This value indicates the amount of rotational motion the point mass possesses, and it is conserved as long as there are no external torques acting on the system.

To learn more about magnitude

https://brainly.com/question/14452091

#SPJ4

The volume of the gas varies inversely with pressure, and the correct answer is (b) P/3.

According to Boyle's Law, at a constant temperature, the volume of a gas is inversely proportional to its pressure. Mathematically, this can be expressed as:

PV = k

where P is the pressure of the gas, V is its volume, and k is a constant.

If we assume that the mass of the gas remains constant, then k is also constant. So we can write:

\(P_1V_1 = k and P_2V_2 = k\)

where\(P_1 and V_1\) are the initial pressure and volume, and \(P_2 and V_2\) are the final pressure and volume.

If we divide these two equations, we get:

\(P_1V_1/P_2V_2 = 1\)

Since\(V_1\) is inversely proportional to \(P_1\), we can write:

\(V_1 = k/P_1\)

Similarly, \(V_2 = k/P_2.\)

Substituting these values in the above equation, we get:

\((k/P_1)/(k/P_2) = 1\)

Simplifying this, we get:

\(P_2/P_1 = V_1/V_2\)

Since we are given that the temperature remains constant, we can assume that k is constant, and therefore:

\(V_1/P_1 = V_2/P_2\)

If we let \(P_2 = 3P_1\), then we get:

\(V_1/P_1 = V_2/(3P_1)\)

Simplifying this, we get:

\(V_1/V_2 = 1/3\)

for such more question on volume

https://brainly.com/question/14197390

#SPJ11

Answer:

\(F=8.64\times 10^{-9}\ N\)

Explanation:

Given that,

Mass of student 1, m₁ = 120 kg

Mass of student 2, m₂ = 108 kg

Let they are at a distance of 10 m.

We need to find the gravitational pull they have on each other. The gravitational force acting between two objects is given by :

\(F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{120\times 108}{(10)^2}\\\\=8.64\times 10^{-9}\ N\)

So, the gravitational pull between students is \(8.64\times 10^{-9}\ N\).

Answer:

a and d

Explanation:

Answer:

i made another account to make u brainiest

Explanation:

Option A: Chromatic aberration is a problem with reflecting telescopes. Large glass lenses with flawless interiors are challenging to produce. There are various surfaces to shape and polish on refractive telescopes.

Compared to huge mirrors, large glass lenses are more challenging to support. Telescopes are instruments used to observe and study celestial objects such as stars, planets, galaxies, and nebulae. They work by collecting and focusing electromagnetic radiation from these objects, allowing astronomers to study their properties and characteristics. Telescopes come in a variety of designs, such as refracting, reflecting, and catadioptric telescopes. Refracting telescopes use lenses to bend and focus light while reflecting telescopes use mirrors to do the same. Catadioptric telescopes use both lenses and mirrors to focus light. Modern telescopes can also operate in a variety of wavelengths, including visible light, radio waves, and X-rays. In recent years, the development of space telescopes has enabled astronomers to observe the universe beyond the limitations of the Earth's atmosphere. Telescopes have played a crucial role in advancing our understanding of the universe and continue to be an essential tool in modern astronomy.

Learn more about telescopes here:

https://brainly.com/question/24151887

#SPJ4

Answer:

it's pray hoped this helped

Answer: primary consumer and  prey

Explanation: hope it helped

The way how charged particles interact is demonstrated with the Charge Launcher Gizmo. Tiny charged particles have the ability to attract (pull together) or repel (push apart) one another, just like magnets.

The positive charge is present in the red particles.

The red particle took a slightly bent downhill route when it was launched from the upper left corner of the grid.

The blue particles are negatively charged. This particle is fixed, which means it is affixed to the grid. The blue particle took the same course downhill when it was released from the upper right corner of the grid and at the very end it curled upward.

To learn more about Charge Launcher Gizmo, click:

https://brainly.com/question/31879844

#SPJ1

Answer: x(t2)−x(t1) over the time interval [t1,t2]

Explanation: hope this helps

Max should advise her to start 4 step approach with her right foot.

The two middle fingers of the bowler should be stretched over the finger holes to determine the proper grip. The majority of bowlers employ a natural and relaxed four-step delivery technique, which involves taking four steps while aiming for the pins and gliding while releasing the ball.

With the bowling ball in her right hand, she needs to maintain balance while releasing it, and she also needs to prevent sliding by using her right foot. She should move in four steps, ideally with her right foot. The bowler's ball-side leg follows the ball as it swings forward, rolling on its side as it does so. The release of the ball occurs as it approaches the sliding foot's ankle.

To know more about bowling visit:

https://brainly.com/question/27512691

#SPJ4

According to the question, The electrostatic force is inversely related to the square of the separation distance.

Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.

Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.

To learn more about electrostatic force visit:

https://brainly.com/question/9774180

#SPJ1

Answer:

The metre is currently defined as the length of the path travelled by light in a vacuum in 1299 792 458 of a second

Student 1 is right. If we measure current through the battery, We can determine the resistance of the variable resistor.

How can we determine unknown resistance in this case?

Let, current through the battery is I

Now, equivalent resistance of the circuit is given by,

\(R= \frac{R_1*(R_2+R_{unknown})}{ R_1+R_2+R_{unknown}}Current through the battery is given by, I=\frac{E}{R}= \frac{E*(R_1+R_2+R_{unknown})}{R_1*(R_2+R_{unknown})}By, solving the above relation we can get, the value of the unknown resistance.\)

In series circuit, the resistance of all the components adds up. If the resistance of individual component is R₁, R₂, R₃,...

Equivalent resistance for a series circuit is

R = R₁ + R₂+ R₃ +...

From Ohm's Law,

The current in series circuit is I = V R where R is equivalent resistance, V is the net voltage.

Voltage drop across each component is V₁, V₂,V₃,..

V₁ = I R₁

V₂ = I R₂

V₃ = I R₃

I R = I R₁ + I R₂+ I R₃ +...

⇒ R = R₁ + R₂+ R₃ +...

To know more about resistance, click here

https://brainly.com/question/1851488

#SPJ4

The answers are A. The period of the wave is 4 × 10⁻⁴ s, B. The frequency is 2500 Hz and C. The wavelength is 6 cm.

For more questions on frequency

https://brainly.com/question/254161

#SPJ8

The acceleration of a circular track if a car's speedometer reads 32 m/s and the track has a radius of 56 m is 18.29 m / s²

\(a_{c}\) = v² / r

\(a_{c}\) = Centripetal acceleration

v = Linear / Tangential velocity

r = Radius

v = 32 m / s

r = 56 m

\(a_{c}\) = 32² / 56

\(a_{c}\) = 1024 / 56

\(a_{c}\) = 18.29 m / s²

Centripetal acceleration is the acceleration of an object in circular motion. It is always acting to center point with which the object is rotating about. The velocity used in the formula is tangential velocity which acts perpendicular to the motion of the object.

Therefore, the acceleration of a circular track is 18.29 m / s²

To know more about Centripetal acceleration

https://brainly.com/question/14465119

#SPJ1