Derive expressions for (i) Schroedinger time dependent and (ii) Schroedinger time
independent wave equations?

Consider an epidemic disease in a country;

The daily emergence of the disease is given in the table below. The first day is the 18th of March, and the last day of the record is the 7th of May. The record is five days apart. There are no records either earlier or later than the dates, or between the dates.

x=0.83.

a) draw a graphic/chart for daily emergence of the epidemic disease, by hand or by using a program,

b) calculate emergence speed of the disease (rate of change (dEp/dt), Ο(h² error level)) for each date and draw a graphic for it.

c) calculate the rate of change of the speed (acceleration of the epidemic (d²Ep/dt²), Ο(h² error level)) for each date and make a graphic, also.

d) what is the total number of infected people during the time period. (use at least two solution techniques and discuss)

e) what is the number of infected people on the 31^st of March.

f) what is going to be the number of infected people on the 9^th of May.

For your chimera’s largest city, respond and address how each of these seven makes its climate the way it is.

My Chimera is Occitania

1. Insolation (solar radiation received) (two to three sentences)

2. Continental vs. Maritime (Marine) location (two to three sentences)

3. Global Atmospheric Circulation and Prevailing Winds (two to three sentences)

4. Ocean Currents (two to three sentences)

5. Position in relation to Source Regions (three to four sentences)

6. Surrounding Terrain (two to three sentences)

7. Elevation (two to three sentences)

2. Continental vs. Maritime (Marine) location (two to three sentences)

3. Global Atmospheric Circulation and Prevailing Winds (two to three sentences)

4. Ocean Currents (two to three sentences)

5. Position in relation to Source Regions (three to four sentences)

6. Surrounding Terrain (two to three sentences)

7. Elevation (two to three sentences)

Let’s consider the following situation: Imagine a 37 kg mass falling from a height h and landing on a spring, compressing it, and then being launched back upwards. If the spring has a spring constant of 179 N/m and is observed to be maximally compressed by 5 meters, determine the following: [Note: You may consider the top of the fully compressed spring to be located at y = 0 m] i The total energy contained in the system. ii The height above the ground from which the mass fell. iii The velocity with which the mass impacts the spring. iv The velocity of the mass when it’s launched back upwards. v What is the value of the mass’ maximum kinetic energy and at what point or points in its motion is it achieved? vi What is the value of the mass’ minimum kinetic energy and at what point or points in its motion is it achieved?

A small mailbag is released from a helicopter that is descending steadily at 1.69 m/s.

(a) After 3.00 s, what is the speed of the mailbag?

v =  m/s

(b) How far is it below the helicopter?

d =  m

(c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.69 m/s?

1. (a) Use the Bohr model to find the radius and energy of the first excited state (n=2) of doubly ionized lithium.

(b)The long and short wavelength limits of a series of energy transitions in the hydrogen atom correspond to the transitions ???????? = ∞ → ?????? ???????? = ?????? + 1 → ?????? Calculate the long and short wavelength limits of the Balmer series (?????? = 2)

2. (a) What is the kinetic energy of an electron whose de Broglie wavelength is equal to that of a 10 keV photon?

(b)A speck of dust of mass 0.100 ?? falls through the air with a speed of 1.00 ??/?. What is the de Broglie wavelength of the speck of dust? Is this easy to observe?

If an astronomical telescope has the magnification of -31.0 ? and its objective lens has a focal length of 75 cm, what is the focal length of its eyepiece?
cm
What is the overall length of the telescope when adjusted for a relaxed eye?
cm

A swimming pool of depth 2.2 m is filled with ordinary (pure) water (ρ = 1000 kg/m3).

(a) What is the pressure at the bottom of the pool?

(b) When the pool is filled with salt water, the pressure at the bottom changes by 8.8 x10³Pa. What is the magnitude of the difference between the density of the salt water and the density of pure water?

Discussion A: Describe the concept of electric charge like you would explain it to an 8 year old. What is it and why is an important concept?

Discussion B: Think about your current field of study (Biology major) and future employment (Field observation). Where do you expect that you will interact with an electric field? What will this interaction be like?

Discussion c: Electromagnetic waves are ubiquitous in our world. Think about your prospective career field. What is a unique way that you will interact with electromagnetic waves in this field?

Please answer with a full paragraph or more, thank you!

Apply the hydrostatic formula to calculate pressure forces in oil wells. To make calculations tractable, some gross simplifications will be made. The realism of these simplifications is discussed below. Results will be sufficient to explain how very large forces can develop. The Deepwater Horizon oil well was about 10700 m deep (measured from the sea surface).

Assume the cross-sectional area of the well was 0.2 m2. The density of crude oil is about 870 kg/m3, and the density of saltwater is about 1030 kg/m3 (this is slightly more than the value of 1000 kg/m3 that I want you to memorize for water density, because the presence of salt slightly increases water density).

Consider the case shown below. Assume

1. the well base is sealed, so pressure inside and outside well can differ.

2. the pores in the sediments surrounding the well are filled with saltwater.

3. the well is filled with oil.

4. the elevation of the oil surface in the well is the same as the elevation of the sea surface.

Let pa=atmospheric pressure (neglect variations of atmospheric pressure with elevation), pb= pressure of fluid in the sediments adjacent to the base of the well, pw=pressure inside the well, at the base of the well.

(i) calculate pb–pa

(ii) calculate pw–pa

(iii) calculate pb–pw (hint: your answer should be more than 100 times atmospheric pressure).

(iv) calculate the net force on the well seal

[hint: since the pressure of oil inside the well (pw) pushes down on the seal, while the pressure outside (pb) pushes up, the net force depends on the difference between the two pressures. The net force also depends on the cross-section of the well. You should get a force exceeding the weight of a 300,000kg object].

•In fact, some of the surrounding sediments are filled with oil, which reduces the net force below the value calculated in (iv), but only slightly. •To avoid the buildup of such large forces, engineers often pour dense, mud-laden water into the well. Aside: the net force on the seal doesn’t depend on where the seal is placed – for example, if the seal were placed at the top of the well, at sea level (instead of at the base of the well), the net force on the seal would be the same as calculated above

1. What properties can be calculated knowing the intensity of light and constants?

☐ Magnetic Field      ☐ Electric Field       ☐ Energy Density       ☐ All of these

2. Why does light create radiation pressure?

☐ Conservation of momentum

☐ From the increase in temperature from absorbing light            

☐The electric field of the light increases the speed of matter     

☐ The magnetic field of light exerts a force on the electrons

3. How much does the intensity of unpolarized light decrease from a polarizing filter?

☐ It is completely blocked           ☐ Decreases by 1/4

☐ Decreased by 1/2                       ☐ Depends on the angle of the filter

4. What is not an application of polarization?

☐ Liquid Crystal Displays        ☐ Solar Sail        ☐ Sunglasses        ☐ Reflected surfaces

5. What feature of a wave can be used to create a wave front?

☐ Peaks        ☐ Troughs        ☐ Zero crossings        ☐ All of these

Members of the astronomy club just posted an article about the discovery of a small comet which orbit is in the same orbit plane as the Earth. In the article it is reported that the observation took place when the comet was eclipsed by the sun just passing the aphelion, in a relative distance at that moment of 3.82 UA and an orbit with eccentricity of e=0.777.

They are calling you to form part of the group of immediate reaction to determine if the comet is a rick to planet Earth. Do the calculation of the ellipse of the comet and the earth to see if it is a risk to the planet, and know at what time the asteroid will collide

Step by Step solution

Consider a completely miscible two-component system whose overall composition is X, at a temperature where liquid and gas phases coexist. The composition of the gas phase at this temperature is Xa and the composition of the liquid phase is Xb. Prove the lever rule, which says that the proportion of liquid to gas is (X -Xa)/(Xb -X). Interpret this rule graphically on a phase diagram.

The Plutonium isotope 239Pu has a half-life of 24,000 years and decays by the emission of a 5.2 MeV alpha particle. Plutonium is not especially dangerous if handled because the activity is low, and the alpha radiation doesn’t penetrate the skin. However, there can be serious health concerns if the tiniest particles are inhaled and lodge deep in the lungs. This could happen following any kind of fire or explosion that disperses Plutonium as dust.

a) (3 pts.) Soot particles are roughly 1 μm in diameter, the density of Plutonium is 19,800 kg/m^3 , and its atomic mass is 244 amu. Determine the number of atoms in a 1 μm diameter particle of 239Pu.

b) (1 pt.) Determine the activity (in Bq) of this particle.

c) (2 pts.) Suppose the particle stays lodged in the lungs for 20 years. How much energy is released by emitted alpha particles over this 20-year period?

(Hint: The equation involving �892 tells you how many atoms are remaining, not how many have decayed. The total energy is the number of decayed particles times the energy of an emitted alpha particle.)

We want to determine the dose delivered to the lungs by this particle, averaged over this 20-year period. You can assume all the alpha particles are stopped within a 25 µm-radius sphere around the particle.

d) (2 pts.) What is the mass of the sphere in which the alpha particles deliver all their energy? Assume the tissue density is the same as water, 1000 kg/m^3.

e) (2 pts.) Determine the dose (in Sv) delivered to the lungs by this particle, averaged over this 20-year period. The RBE for alpha particles is 20.