Blue light from a tunable laser is shined on a pair of closely space slits. If the laser light is changed to red light on the same two slits, how will the spacing between the fringes on the distant diffraction screen change

The wave functions that solve the familiar harmonic oscillator in one dimension, then the limit the values of nx, ny, and nz to positive integers only, then there are still infinitely many possible combinations of values, but  provide some general observations about the distribution of these values.

(a) The spectrum of the spherically symmetric harmonic oscillator is given by the energy eigenvalues:

E(n) = (n + 3/2)ℏω, where n = nx + ny + nz.

(b) For the four lowest energies:

E(0) = 3/2 ℏω, n = 0, degeneracy = 1

E(1) = 5/2 ℏω, n = 1 (1,0,0), (0,1,0), (0,0,1), degeneracy = 3

E(2) = 7/2 ℏω, n = 2 (2,0,0), (1,1,0), (1,0,1), (0,2,0), (0,1,1), (0,0,2), degeneracy = 6

E(3) = 9/2 ℏω, n = 3 (3,0,0), (2,1,0), (2,0,1), (1,2,0), (1,1,1), (1,0,2), (0,3,0), (0,2,1), (0,1,2), (0,0,3), degeneracy = 10

(c) The radial equation for the spherically symmetric harmonic oscillator is given by:

1/r² (d/dr) (r²(dR/dr)) + (2m/ℏ²) [E - V(r)] R = l(l+1)R

with the boundary conditions:

R(0) < ∞, R(∞) = 0.

(d) For l = 0, the radial equation reduces to:

1/r² (d/dr) (r² (dR/dr)) + (2m/ℏ²) [E - V(r)] R = 0

The eigenvalues for this equation are given by:

E(n) = (n + 3/2)ℏω, where n = 0, 1, 2, ....

(e) For other values of l, the radial equation is more difficult to solve. The allowed values of l for the three lowest energies can be deduced from the fact that for each n, the degeneracy is given by 2l + 1.

Therefore, for the first three energies, the allowed values of l are,

E(0) = 3/2 ℏω, l = 0, degeneracy = 1

E(1) = 5/2 ℏω, l = 0,1, degeneracy = 3

E(2) = 7/2 ℏω, l = 0,1,2, degeneracy = 6

To know more about harmonic oscillator

https://brainly.com/question/16393907

#SPJ4

We know that in a RC circuit the voltage in the capacitor when is charging is given by:

when this is happening the voltage in the resistor is given by:

In both equations V0 denotes the voltage given by the source, R is the resistance of the resistor and C is the capacitance of the capacitor.

We notice that in both expressions the product RC appear, this product is what we call the time constant of the capacitor; and it is important since it determines the time intervals in which the voltage, charges and currents chage in a RC circuit. This means that while the capacitor is charging or discharging the variables mentioned will always have the time constant in their expressions.

The magnitude is 13.12 mV.

The steps are attached below.

The standard SI unit of the magnetic field is the tesla (T). As an end result, we can use these equations and the equation for an induced emf due to changes in magnetic flux, ϵ=−NΔϕΔt ϵ = − N Δ ϕ Δ t, to calculate the importance of a precipitated emf in a solenoid.

The magnitude of the precipitated contemporary depends on the rate of trade of magnetic flux or the fee of reducing the magnetic area strains.

Learn more about the magnitude here: https://brainly.com/question/18109453

#SPJ2

Julianna's resultant displacement when she walks 10 meters East, and 15 meters South and 20 meters North is 11.18m North-East.

displacement can be defined as distance in a specified direction.

To calculate the resultant displacement of the Julianna, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, Julianna's resultant displacement is 11.18 m North-East.

Learn more about displacement here: https://brainly.com/question/28370322

#SPJ1

This question is incomplete, the complete question is;

People who do very detailed work close up, such as jewelers, often can see objects clearly at much closer distance than the normal 25 cm.

a) What is the power in D of the eyes of a woman who can see an object clearly at a distance of only 8.50 cm? (Assume the lens-to-retina distance is 2.00 cm.)

b) What is the size in mm of an image of a 8.00 mm object, such as lettering inside a ring, held at this distance? (Include the sign of the value in your answer.)  __ mm

Answer:

1) the power in D of the eyes of a woman is 61.7647 D

2) the size in mm of an image of a 8.00 mm object is -1.882 mm

Explanation:

Given the data in the question;

a) power in D of the eyes of woman who can see an object clearly at a distance of only 8.5 cm and the lens-to-retina distance is 2.00 cm,

so

u = 8.5 cm = ( 8.5 / 100 )m = 0.085 m

v = 2.00 cm = ( 2 / 100 )m =  0.02 m

Now, we know that power of lens p = 1 / u + 1 / v

so we substitute

p = ( 1 / 0.085 ) + ( 1 / 0.02 )

p = 11.7647 + 50

p = 61.7647 D

Therefore,  the power in D of the eyes of a woman is 61.7647 D

b) What is the size in mm of an image of a 8.00 mm object, such as lettering inside a ring, held at this distance? (Include the sign of the value in your answer.)

we know that;

m = -v / u

we substitute

m = -0.02 / 0.085

m = -0.2353

since H₀ = 8.0 mm

H\(_i\) = m × H₀

H\(_i\) = -0.2353 × 8.0

H\(_i\) = -1.882 mm

the size in mm of an image of a 8.00 mm object is -1.882 mm

The formula for calculating the elastic potential energy is expressed as

Elastic potential energy = 1/2kx^2

where

k represents the spring constant

x represents the compression or distance by which the spring was stretched.

From the information given,

Elastic potential energy = 68

x = 6 cm

we would convert 6 cm to m. Recall,

100cm = 1 m

6 cm = 6/100 = 0.06 m

By substituting these values into the formula, we have

68 = 1/2 x k x 0.06^2

68 = 0.0018k

k = 68/0.0018

k = 37777.78 N/m

The spring constant is 37777.78 N/m

The moment of inertia (I) will changes and net torque (Tnet) will also change, while the angular acceleration (a) remains constant.

The formula for net torque acting on an object is given as;

T(net) = Ia

where;

The  moment of inertia of an object is given as;

I ∝ MR²

where;

So mass, M changes, the moment of inertia (I) changes and net torque will also change, while the angular acceleration remains constant.

Learn more about moment of inertia here: https://brainly.com/question/3406242

#SPJ1

The ratio of the force between two charges in a vacuum to the force between two charges when a medium is placed between them is called relative permittivity

Relative permittivity has another term dielectric constant. The dielectric constant measures how well a material can store electrical energy in an electric field. Its equation is ε = ε₀ / εᵣ

ε₀ is the vacuum permittivity, and εᵣ is the relative permittivity or dielectric constant of the medium.

The dielectric constant is different depending on the material.

Find more exercises on relative permittivity;

https://brainly.com/question/30258261

#SPJ1

Sample A: Volume = 1.25 cm³, Density = 8 g/cm³, Weight = 98.1 N

Sample B: Volume = 15 cm³, Density = 1 g/cm³, Weight = 147.15 N

Sample C: Volume = 12 cm³, Density = 1.67 g/cm³, Weight = 196.2 N

Sample D: Volume = 5.625 cm³, Density = 4.44 g/cm³, Weight = 245.25 N

Sample E: Volume = 26.25 cm³, Density = 1.14 g/cm³, Weight = 294.3 N

Density is a measure of how much mass is incorporated in a given volume. It is identified as a substance's mass divided by its volume.

Given measurements:

Sample A: Length = 1 cm, Width = 2.5 cm, Height = 0.5 cm, Mass = 10 g

Volume = 1 cm x 2.5 cm x 0.5 cm = 1.25 cm³

Density = 10 g / 1.25 cm³ = 8 g/cm³

Sample B: Length = 2 cm, Width = 3 cm, Height = 2.5 cm, Mass = 15 g

Volume = 2 cm x 3 cm x 2.5 cm = 15 cm³

Density = 15 g / 15 cm³ = 1 g/cm³

Sample C: Length = 3 cm, Width = 2 cm, Height = 2 cm, Mass = 20 g

Volume = 3 cm x 2 cm x 2 cm = 12 cm³

Density = 20 g / 12 cm³ = 1.67 g/cm³

Sample D: Length = 2.5 cm, Width = 1.5 cm, Height = 1.5 cm, Mass = 25 g

Volume = 2.5 cm x 1.5 cm x 1.5 cm = 5.625 cm³

Density = 25 g / 5.625 cm³ = 4.44 g/cm³

Sample E: Length = 3.5 cm, Width = 2.5 cm, Height = 3 cm, Mass = 30 g

Volume = 3.5 cm x 2.5 cm x 3 cm = 26.25 cm³

Density = 30 g / 26.25 cm³ = 1.14 g/cm³

The weight of each sample can be calculated using the formula:

Weight = Mass x g

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

Sample A: Weight = 10 g x 9.81 N/kg = 98.1 N

Sample B: Weight = 15 g x 9.81 N/kg = 147.15 N

Sample C: Weight = 20 g x 9.81 N/kg = 196.2 N

Sample D: Weight = 25 g x 9.81 N/kg = 245.25 N

Sample E: Weight = 30 g x 9.81 N/kg = 294.3 N

To know more about Density, visit:

https://brainly.com/question/29775886

#SPJ1

The ways to tell if a chemical change has occurred due to a reaction include the following below:

This is a term which is referred to as the type of reaction which occurs when the substance's composition is changed and also involves the substance combining with another to form a new substance through the process of bond formation etc.

As a result of a new substance being produced during the reaction, there are certain changes in the color and odor due to the new substance being formed.

The evolution of a gas and the presence of precipitate both depicts the formation of a new substance which are therefore the ways to tell if chemical change occurred in the reaction.

Read more about Chemical change here https://brainly.com/question/19794032

#SPJ1

An example of a physical change of matter is (c) Melting ice.

Explanation: Melting ice is an example of a physical change of matter. When ice melts, it undergoes a change in state from a solid to a liquid, but its chemical composition remains the same. The water molecules in ice rearrange themselves to form liquid water, but no new substances are formed. This change can be reversed by cooling the liquid water to below its freezing point, causing it to solidify back into ice. Physical changes do not involve a change in the chemical identity of the substance, only a change in its physical properties, such as shape, size, or state.

In contrast, options a) Burning wood, b) Digesting food, and d) Rusting iron involve chemical changes. Burning wood involves a chemical reaction where wood reacts with oxygen to produce carbon dioxide, water vapor, and ash. Digesting food involves the breakdown of complex molecules into simpler ones through chemical reactions in the body. Rusting iron is a chemical reaction where iron reacts with oxygen and moisture in the air to form iron oxide.

for more such questions on matter

https://brainly.com/question/3998772

#SPJ11

Note: The complete question is:

Which of the following is an example of a physical change of matter?

a) Burning wood

b) Digesting food

c) Melting ice

d) Rusting iron

We will have that the best analogy will be:

*A set of stairs.

If we know the distance between the steps then using this information and thime using an object of a given mass we can determine the "value" it will have each time it moves one step down or up, thus quantizing the concept.

The speed of the ball rebounding from the plate is approximately 13.2 m/s.

According to the graph, the greatest force exerted by the football on the force plate during impact is around 1900 N. The ball comes to a halt on the force plate before rebounding.

The kinetic energy of the ball before impact equals the kinetic energy of the ball after the rebound, according to the law of conservation of energy.

The speed of the ball rebounding can be calculated using the formula:

(1/2)mv²= (1/2)mv_0²

where m is the mass of the ball (0.43 kg), v is the speed of the ball rebounding, and v_0 is the initial speed of the ball (15 m/s).

Solving for v, we get:

v = sqrt(v_0² - (2F/m))

where F is the maximum force exerted on the force plate (1900 N).

Plugging in the values, we get:

v = sqrt(15² - (2*1900/0.43)) ≈ 13.2 m/s

Therefore, the speed of the ball rebounding from the plate is approximately 13.2 m/s.

learn more about speed here

https://brainly.com/question/13943409

#SPJ1

Answer:

The mixture of insoluble solid and liquid is poured into the filter funnel. 2 of 3 ... When heated, the water evaporates away leaving solid salt crystals behind. ... heat the salt solution

Explanation:

The magnetic force per unit length of the wire is (C) (0.49i - 0.51j - 1.37k) N/m.

To calculate the magnetic force per unit length of the wire, we can use the formula:

F = I * (L x B),

where F is the force, I is the current, L is the length vector of the wire, and B is the magnetic field.

Given:

Current, I = 3A

Length vector, L = √√3 * (i + j + k)

Magnetic field, B = 0.75i + 0.4k

Let's calculate the cross product of L and B:

L x B = | i j k |

|√√3 √√3 √√3|

|0.75 0 0.4|

To evaluate this cross product, we calculate the determinants:

(i) component: (√√3 * 0 - √√3 * 0.4) = -0.4√√3

(j) component: (-√√3 * 0.75 - √√3 * 0) = -0.75√√3

(k) component: (√√3 * 0.75 - √√3 * 0) = 0.75√√3

Now, multiply the cross product by the current:

F = 3A * (-0.4√√3i - 0.75√√3j + 0.75√√3k)

Simplifying this expression gives:

F = (-1.2√√3i - 2.25√√3j + 2.25√√3k) N

Therefore, the magnetic force per unit length of the wire is approximately (-1.2√√3i - 2.25√√3j + 2.25√√3k) N/m.

Comparing the given answer options, the closest match is C. (0.49i - 0.51j - 1.37k) N/m.

for more such questions on force

https://brainly.com/question/12785175

#SPJ11

The effective resistance of the combination when two resistors are connected in series is 2+x²/x.

The resistance is a quantity that offers obstruction to the current flow and the unit of resistance is the ohm. The resistors are connected in series and parallel. The effective resistance of series connections, R(eff) = R₁+R₂+...+Rₙ. The effective resistance of parallel connections are, 1/R(eff) = 1/R₁+1/R₂+.....+1/Rₙ.

From the given,

the parallel resistance of two-ohm x, the effective resistance,

1/R(eff) = 1/x+1/x = 2/x.

The effective resistance in a series combination of resistors, 2/x, and x are,

R(eff) = R₁+R₂ = 2/x + x = 2+x²/x.

Hence, the effective resistance is 2+x²/x.

To learn more about effective resistance:

https://brainly.com/question/11416040

#SPJ1

Answer:

the force produced between magnetic objects

Explanation:

"Compression of rock is nothing but squeezing the rock together and shearing is pushing the rock in opposing directions."

It squeezes the boulder as a whole and should cause the pulls to shear. This is because compression causes the weight necessary for rocks to be squeezed. Additionally, the rock's draws shouldn't be spaced apart. It shouldn't be going in opposing ways either.

When rocks are compressed together, they fold, fracture, or even shatter. Compression stress is the most prevalent stress at convergent plate boundaries. There is stress when rocks are being torn apart. Under stress, rocks either lengthen or fragment.

Due to the compression pushing the hanging wall up in relation to the footwall, if the fault arises in a scenario of compression, it will be a reverse fault.

Compressional stresses cause a rock to shorten. A rock elongates or pulls apart as a result of tensional pressures. Shear forces cause rocks to slide past one another.

To know more about rocks:  

https://brainly.com/question/419780

#SPJ4

(a) The work done by the donkey on the cart is 59,721.9 J.

(b) The work done by the force of gravity on the cart is -48,434.87 J.

(c) The work done on the cart by friction during this time is 11,315.12 J.

(a) The work done by the donkey on the cart is calculated as follows;

Wd = Fd cosθ

where;

Wd = 375 N x 163 m x cos(12.3)

Wd = 59,721.9 J

(b) The work done by the force of gravity on the cart is calculated as;

Wg =  Fg x d x cosθ

Where;

θ = 90⁰ + 4.03⁰ = 94.03⁰

Wg = (431 kg x 9.81 m/s²) x 163 m x cos (94.03)

Wg = -48,434.87 J

(c) The work done on the cart by friction during this time is calculated as;

Wf = Ff x d x cosθ

where;

Ff = μmg cosθ

Ff = 0.0165 x 431 kg x 9.81 x cos (4.03)

Ff = 69.59 N

Wf = 69.59 x 163 x cos (4.03)

Wf = 11,315.12 J

Learn more about work done by gravity here: https://brainly.com/question/15352390

#SPJ1

The distance an object moves if 25J of work is done with 3.0N of force is 8.33 m.

For a given amount of force, F, and a given distance, d, the formula for calculating work done is as follows:

Work done = Force x distance

So, the distance would be,

Work done / force = 25/3 = 8.33 m.

Work is the energy exerted by an object when it applies a force to move another object over some distance.

To learn more about work done,

https://brainly.com/question/31428590

➝ Density of block = 10.5 g/cm³

➝ Volume of block = 30 cm³

We have to find mass of block\(.\)

➠ Density is defined as mass of substance per unit volume\(.\)

\(\dag\:\boxed{\bf{Density=\dfrac{Mass}{Volume}}}\)

\(:\implies\sf\:Mass=Density\times Volume\)

\(:\implies\sf\:Mass=10.5\times 30\)

\(:\implies\boxed{\boxed{\bf{\red{Mass=315\:g}}}}\)

Answer:

acceleration = - 9.8 m/s²

Explanation:

From the question, we can deduce that the only force that will be acting on the car is gravity and as such the acceleration during free fall will be equal to the acceleration due to gravity but will be negative since it is towards the ground.

Thus, acceleration = - 9.8 m/s²

The primary difference is that electromagnetic waves can propagate through a vacuum or empty space, while mechanical waves require a physical medium to transmit energy.

A primary difference between an electromagnetic wave and a mechanical wave is the medium through which they propagate.

Electromagnetic waves can propagate through a vacuum or empty space without requiring a material medium. They are generated by the oscillation and interaction of electric and magnetic fields.

Examples of electromagnetic waves include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. These waves can travel through space, air, or other materials, as they do not rely on physical particles to transmit energy.

On the other hand, mechanical waves require a physical medium to propagate. They are disturbances that travel through a material medium, transferring energy from one location to another. Mechanical waves rely on the interaction and displacement of particles within the medium to transmit energy.

Examples of mechanical waves include sound waves, water waves, seismic waves, and waves on a string. These waves cannot travel through a vacuum as they depend on the physical presence and interaction of particles within the medium.

In summary, the primary difference is that electromagnetic waves can propagate through a vacuum or empty space, while mechanical waves require a physical medium to transmit energy.

Learn more about wave here:

https://brainly.com/question/15663649

#SPJ1

Answer:

photoelectric effect

Explanation:

The photoelectric effect supports a particle theory of light in that it behaves like an elastic collision (one that conserves mechanical energy) between two particles, the photon of light and the electron of the metal.

Answer:

Roles and responsibilities

Explanation:

Definition of safety plan:

"A Safety Plan is a written document that describes the process for identifying the physical and health hazards that could harm workers, procedures to prevent accidents, and steps to take when accidents occur. Written safety plans can be comprehensive, such as an injury and illness prevention program, or they can be specific to a particular activity, hazard, or piece of equipment. The written safety plan is your blueprint for keeping workers safe."

Alternative definition

"What is an OSHA Safety Plan? An OSHA Safety Plan is a written plan that describes the potential hazards in the workplace, and the company policies, controls, and work practices used to minimize those hazards."

elements of a safety plan:

Basic Safety Plan Elements

Policy or goals statement

List of responsible persons

Hazard identification

Hazard controls and safe practices

Emergency and accident response

Employee training and communication

Recordkeeping

I say roles and responsibilities because it makes sense that if it's your responsibility and possibly something that could be dangerous -- hence a safety plan --  you would have to sign it before working. I hope this helps!

Answer:  The correct answer is company safety policy

Explanation:  This answer has been confirmed correct.

Answer:

Explanation:

circumference = diameter * \(\pi\)

circumference = 65 * \(\pi\)

circumference = 204.2035225m

350 km/h = 97.222222 m/s

0.4761 revolutions per second

Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.

The correct answer is option D.

The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :

Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).

When Mark climbs the stairs with the cello, he is doing work against the force of gravity.

The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.

Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.

Therefore, mark's work decreases.

For more such questions on work visit:

https://brainly.com/question/28356414

#SPJ8