An electron is in a one-dimensional box. When the electron is in its ground state, the longest- wavelength photon it can absorb is 460 nm. What is the next longest-wavelength photon it can absorb, again starting in the ground state?

Answer:

Newton Metre

Explanation:

The drink that will be evaporating fastest is tea.

The rate of evaporation of a liquid depends on several factors, including the temperature, the humidity of the surrounding air, and the surface area of the liquid. In general, liquids with higher temperatures evaporate faster than liquids with lower temperatures, assuming the other factors are held constant.

In this case, Sophie has a hot cup of tea, which means that the tea has a higher temperature than Martin's cold cola. Therefore, Sophie's tea is more likely to be evaporating faster than Martin's cola. However, the humidity of the surrounding air and the surface area of the liquids can also have an effect on the rate of evaporation, so it's possible that other factors could be influencing the evaporation rates as well.

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Yes, the electron can be further away than 1 angstrom from the nucleus in a hydrogen atom. In quantum mechanics, the electron's position is described by a probability distribution, allowing for occasional excursions beyond the average radius.

The radius of 1 angstrom represents an estimate of the average distance between the electron and the nucleus in the ground state of a hydrogen atom. However, in quantum mechanics, the electron's position is described by a probability distribution rather than a fixed orbit.

This means that there is a non-zero probability of finding the electron at distances greater than 1 angstrom from the nucleus, although the probability decreases as the distance increases. Therefore, while the average distance may be 1 angstrom, the electron can occasionally be found further away from the nucleus.

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The flow rate of water is 0.0056 L/sec (rounded to 3 significant figures). To determine the flow rate in L/sec, we can utilize the concept of continuity equation.

The continuity equation is described as: A₁V₁ = A₂V₂

where A₁ and V₁ are the cross-sectional area and velocity of fluid respectively at the first point, while A₂ and V₂ are the cross-sectional area and velocity of fluid respectively at the second point.

Since we have only one point, we can solve for flow rate using the formula for volume flow rate as:

Q = Av, where Q is the volume flow rate, A is the cross-sectional area of the pipe, and v is the velocity of fluid.

Substituting the known values in the formula:

We are given that velocity of water, v = 1.30 m/s

and internal diameter of hose, d = 4.30 cm.

To obtain the cross-sectional area, A in m², we need to convert the diameter from centimeter (cm) to meter (m) using the formula:

1 cm = 0.01 m

Substituting the values of d and v:

Thus, the flow rate of water is 0.0056 L/sec (rounded to 3 significant figures).

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Answer:

The new kinetic energy is 9 times of the initial kinetic energy.

Explanation:

The kinetic energy of an object is given by the formula as follows :

\(E=\dfrac{1}{2}mv^2\)

Where

m is mass and v is speed of the body

If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :

\(E'=\dfrac{1}{2}mv'^2\\\\\text{Put v' = 3v}\\\\E'=\dfrac{1}{2}m\times (3v)^2\\\\=\dfrac{1}{2}m\times 9v^2\\\\=9\times (\dfrac{1}{2}mv^2)\\\\E'=9\times E\)

Hence, the new kinetic energy is 9 times of the initial kinetic energy.

Answer:

F_f = 370.636 N

Explanation:

We are given;

co-effficient of static friction;μ = 0.62

mass of the object;m = 61 kg

acceleration due to gravity;g = 9.8 m/s²

The maximum force of static friction is given by the formula:

F_f = μmg

Plugging in the relevant values, we have;

F_f = 0.62 × 61 × 9.8

F_f = 370.636 N

Now, we are told that a horizontal force of 272 N in the negative x direction to try and move.

Since the Frictional force exceeds this horizontal force, it means the Fridge is not going to move and would require a greater force

see

below

Explanation:

refractive index = speed of light in vacuum / speed of light in medium

light travels at a speed of 3.0 x 10^8 m/s in vacuum

refractive index = 3.0 x 10^8 / 2.0 x 10^8

refractive index = 1.5

hope this helps, please mark it

By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as

P = A . e . σ . T⁴

where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.

From the question above, we know that

P1 = 10 watt

P2 = 100 watt

T1 = T1

By using the black body radiation formula, the ratio of temperature is

T1⁴ / T2⁴ = P1 / P2

Hence,

T1⁴ / T2⁴ = P1 / P2

T1⁴ / T2⁴ = 10 / 100

T1⁴ / T2⁴ = 1 / 10

T2⁴ = 10T1⁴

T2 = ⁴√(10T1⁴)

T2 = T1 x 10⁰'²⁵

Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

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Answer:

The reason why it is important that all the airplanes have the same design is that the students first test is an experiment to determine the effect of the paper kind on the distance the airplane flies

The first experiment, therefore measures the effect of the independent variable, which is the kind of paper on the dependent variable, which is how far the paper flies

The constant or the factor held constant in the experiment is the design of the airplane, so as to ensure that changes in the distance flown by the airplane are due to the changes in the kind of paper alone

Explanation:

Answer:

r = 0.2499 m

Explanation:

Use Coulomb's Law: \(F_{e} = kq_{1}q_{2} / r^{2}\) where Fe is the electric force, q1 and q2 are the 2 charges respectively, k is a constant (8.99*10^9 N • m^2 / C^2) and r is the distance.

\(3.6 N = (8.99*10^{9})(5*10^{-6})(5*10^{-6}) / r^{2}\)

r = 0.2499 m

The distance that should be apart from these charges should be considered when the r = 0.2499 m.

Since

Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them

So

here we use Columb law

Electric force = k * two charges * two charges)r^2

3.6 N = (8.99*10^9) * ( 5 * 10^-6) * (5*10^-6)r^2

r = 0.2499 m.

Hence, The distance that should be apart from these charges should be considered when the r = 0.2499 m.

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Answer:

a = 1.666... m/s²

Explanation:

a = v2 - v1 / t2 - t1

a = 21m/s - 14m/s / 6s - 0s

a = 7m/s / 6s

a = 1.666... m/s²

Answer:

f = 459.8 Hz

Explanation:

When a trumpet is playing it is an open tube at both ends, therefore there is a belly in each one, the resonance occurs to

           λ = 2L             1st harmonic

           λ = 2L /2        2nd harmonic

           λ = 2L /3       3rd harmonic

the speed of the wave is

           v = λ f

           λ = v / f

we substitute in the third harmonic

            \(\frac{v}{f} = \frac{2L}{3}\)            (1)

            L = \(\frac{3}{2} \ \frac{v}{f}\)

            L = \(\frac{3}{2} \ \frac{343}{ 510}\)

            L = 1.009 m

indicates that to  add ΔL = 0.110 m, so the total length is

            L_total = L + ΔL

            L _total = 1.009 + 0.110

            L _total = 1,119 m

we use equation 1

            f =  \(\frac{3}{2} \ \frac{v}{L_{total}}\)

            f = \(\frac{3}{2} \ \frac{343}{1.119}\)

            f = 459.8 Hz

Answer:

Energy transfer, I believe.

Explanation:

When the energy moves from one point to the other, this is known as energy transfer. Hence, option A is correct.

The capacity to perform work is known as energy in physics. Potential, kinematic, heat, electromagnetic, chemical, nuclear, and other different types are all possible. As energy is transferred of one body to another, there is also heat and work. Energy is always categorized after it has been transported based on its nature. As a result, heat transfer may result in thermal energy, while labor done may result in mechanical energy.

Motion is a common characteristic of all energy types. Whenever a body is in motion, for instance, it contains energy. Even when at rest, a tensioned object like a springs or bow has the ability to move; this is due to the structure of the object, which carries potential energy.

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If the separation distance is doubled, then the electric field decreases by a factor of 4.

We know that the electric field strength is known to depend on the magnitude of the charge and the distance of separation. We know that the electric field refers to the region in which the influence of a charge is felt. Recall that a charge is a specie that is positively or negatively charged. The charge on a specie must always be shown by its sign.

We know that the electric field is the region in space where the influence of a charge can be felt. If a charge is placed in the vicinity of another charge, the second charge would experience a force due to the presence of the first charge. This is because the second charge was brought into the electric field of the first charge.

Thus we know that;

E = Kq/r^2

Where;

E = electric field strength

q = magnitude of charge

r = distance of separation

Now;

E = 9.0* 10^9 * 3.052 * 10^-6/(8.22 * 10^-2)^2

E = 4 N/C

Given that the electric filed strength is inversely proportional to the distance of separation, when the distance between the charges is doubled, the electric field decreases by a factor of 4.

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kinetic energy is the force that needs to be dissipated in a collision.  The following statement is False.

Kinetic energy is not a force; it is a form of energy associated with the motion of an object. In a collision, kinetic energy is not the force that needs to be dissipated but rather a quantity that can be transferred or transformed during the collision. During a collision, forces act on the objects involved, causing them to change their motion. These forces can come from external sources or be generated internally due to interactions between the objects. The forces involved in a collision are responsible for altering the objects' velocities and momentum. Kinetic energy is related to the mass and velocity of an object and can be calculated using the equation:

Kinetic energy = (1/2) × mass × velocity^2

In a collision, the total kinetic energy of the system might change. Some collisions result in a transfer or transformation of kinetic energy between the objects involved, while in other cases, the total kinetic energy is conserved. The forces involved in a collision determine how the kinetic energy is distributed or dissipated. Energy can be transferred into other forms, such as heat, sound, or deformation of the objects involved, depending on the nature of the collision and the materials of the objects.

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The recommended ratio for antifreeze to water in a car radiator is 50:50.

This means that for every kilogram of water in your car radiator, you should add one kilogram of antifreeze.

In terms of grams, this would be 500 grams of water and 500 grams of antifreeze per kilogram of water in the radiator. It's important to maintain this ratio to ensure the proper functioning of your car's cooling system and to prevent damage from freezing or overheating.

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The central pitch around which a scale and its associated harmonies is built is called Tonic.

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The thermometer measures the starting temperature as,

The temperature required for the boiling the water is

(a). The temperature requires to boil is,

Answer:

Student science investigatory projects provide students practical experience in using the scientific method and help stimulate their interest in scientific inquiry. Given the benefits society can realise from professional scientific inquiry, such goals in themselves have importance.

The correct option is B: The tension on the aluminum wire is approximately 65 N.

To find the tension on the aluminum wire, we can use the formula for the speed of transverse waves in a string:

v = √(T/μ)

where:

v = speed of transverse waves

T = tension in the wire

μ = linear mass density (mass per unit length) = density * area

First, let's calculate the area of the aluminum wire:

Given diameter = 4.6 mm

Radius = diameter/2 = 4.6 mm / 2 = 2.3 mm = 2.3 x \(10^(^-^3^)\) m

Area = π * \(r^2\)

      = π * (2.3 x 10⁽⁻³⁾)²

      = π * (5.29 x 10⁽⁻⁶⁾)

      ≈ 1.658 x 10⁽⁻⁵⁾ m²

Now, let's calculate the linear mass density (μ):

Density of aluminum = 2700 kg/m³

Linear mass density (μ) = density * area

                       = 2700 kg/m³ * 1.658 x 10⁽⁻⁵⁾ m²

                       ≈ 0.0447 kg/m

Now, we can rearrange the formula for the speed of transverse waves to solve for tension (T):

T = μ * v²

Given v = 38 m/s and μ = 0.0447 kg/m, we can calculate T:

T = 0.0447 kg/m * (38 m/s)²

 ≈ 63.9906 N

Rounding to the nearest whole number, the tension on the wire is approximately 64 N.

Therefore, the closest option from the given choices is: b) 65 N

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It is true that the spongy bone is composed of osteocytes

The spongy bone is also called as cancellous bone or trabecular bone. It is commonly found in animals. It is porous and vascularized. It contains red bone marrow. It is commonly located at the end of a long bone and is surrounded by a compact bone.

The functions of spongy bone is as follows:

Therefore, it is true that the spongy bone is composed of osteocytes

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Answer:

Explanation:

λ = hc/¢

Where

h = the Plank constant 6.63 x 10-34 Is

C = 3.0×10^8

¢= 1.96eV

= (6.63×10^-34Js)×(3×10^8)÷( 1.96eV) × 1eV/1.6×10^-19J

= (1.989×10^-25)÷( 1.96eV)×1eV/1.6×10^-19J

= 6.342×10^-7m

B) maximum kinetic energy

= K=hf−ϕ ........1

ϕ = hc

Where

​ h = constant 6.63 x 10^-34Js

ϕ= 1.96eV

Recall

λ =425×10^-9m

f = frequency in Hz

f = c / λ

C = 3.0×10^8

f = 3.0×10^8 / 425×10^-9m

f = 0.000705Hz

From equation 1

K = (6.63 x 10^-34Js×0.000705Hz )- 6.63 x 10^-34Js×3.0×10^8

= 4.68×10^-37 - 1.989×10^-25

= - 1.98×10^-25J

Answer:

Potential energy

Explanation:

Respective sections (A-E) in an energy curve worksheet for the given terms:  1)  A (solid),  2 )B (solid to liquid), 3) E (gas),  4) B (solid to liquid),  5) B (solid to liquid),  6) C (liquid), 7) D (liquid to gas),  8) E (gas), 9)  E (gas),  10) A (solid),  11) A (solid)

The following are the respective sections (A-E) in an energy curve worksheet for the given terms:

1. Solid getting warmer: A (solid).

2. Liquid getting warmer: B (solid to liquid).

3. Gas getting warmer: E (gas).

4. Freezing/ Solidifying: B (solid to liquid).

5. Melting/ Liquefying: B (solid to liquid).

6. Boiling point: C (liquid).

7. Boiling (Vaporization): D (liquid to gas).

8. Particles farthest apart: E (gas).

9. Weakest IMF (intramolecular force): E (gas).

10. Particles are rigid & compressed: A (solid).

11. Particles closest together: A (solid).

All particles able to move past each other in fluid motion: C (liquid).Condensation occurs: D (liquid to gas).Strongest IMF: A (solid).Particle motion is stationary: A (solid).Particles are most chaotic and disordered. Have the most entropy: E (gas).

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When light travels in a certain medium and falls on the surface of another medium a part of it turns back in the same medium This phenomenon is called Reflection.

A wavefront may alter its course at an interface between two different media and return to the first medium, a phenomenon known as reflection. Common examples are the reflection of light, sound, and water waves.

Reflection of light refers to the occurrence where light strikes an item and bounces back off its surface. Examples: using a flat mirror to reflect. by a spherical mirror's reflection. There are essentially two types of reflection that apply to light. While diffuse reflection is caused by rough surfaces that tend to reflect light in all directions, specular reflection is described as light reflected off a smooth surface at a specific angle.

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Answer:

analysis the force is zero

Explanation:

Let's apply Newton's second law

         F = m a

In this equation we see that the force is directly related to the acceleration, as they indicate that the rocket is far from any planet or star has no force applied to it, therefore they also relate it to zero.

Change we can analyze the exercise with Newton's first law, which indicates that an object maintains its constant speed in a straight line has no forces applied to it.

In either analysis the force is zero

The equilibrant force is equal in magnitude and opposite in direction to the resultant force.

Since the resultant force is 10 N in the positive y axis direction (North), the equilibrant force is 10 N in the negative y axis direction (South). An equilibrant force is a force that can balance or counteract the effect of other forces acting on an object.

It has the same magnitude as the resultant force, but it acts in the opposite direction, resulting in a state of equilibrium where the net force acting on the object is zero.

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Answer:

These has anwers and also the solution. You can recheck if you want.