Bohr in 1911 (i.e. about 200 years after Newton), associated Coulomb’s Force F_c=e²/r²reigning between the proton and the electron of mass m, and of charge e, and separated by a distance r, in the Hydrogen atom, with Newton’s law of Motion.

a) () Write this equation, assuming that the orbit is circular.

b) () Write Bohr Quatization rule, knowing that the angular momentum is expressed as mvr, where v is the velocity of the electron in orbit around the proton.

c) () Bohr accordingly was able to obtain, the previously established Rydbergemprical relationship, along with the notation we used in class: 1/ λ=R(1/n²-1/h²). Here λ is the wavelength of the photon emitted by the electron as it steps down from thekth energy level to the nth energy level, both k and n being integer numbers, and R is the Rydberg Constant, i.e. R=2π²e⁴m/ch³ ; h is Planck Constant, c is the speed of light in vacuum. The Rydberg relationship, written above, chiefly pops out when n is fixed, for instance to 2, and k is considered to cover up, all levels above the nth level. Thusly, Rydberg could determine R, empirically to be about 1.1x10⁵ cm^-1. Check this value, using the above Bohr Rydberg Constant R expression, knowing the following data in CGS unit system: e=4.8x10^-10 esu, m=0.9x10^-27 g, c=3x10¹⁰ cm/s, h=6.6x10^-27 ergxs.

Bohr in 1911 (i.e. about 200 years after Newton), associated Coulomb’s Force Fc=e2/r2 reigning between the proton and the electron of mass m, and of charge e, and separated by a distance r, in the Hydrogen atom, with Newton’s law of Motion. a) (3 p) Write this equation, assuming that the orbit is circular. b) (2 p) Write Bohr Quatization rule, knowing that the angular momentum is expressed as mvr, where v is the velocity of the electron in orbit around the proton. c) (15 p) Bohr accordingly was able to obtain, the previously established Rydbergemprical relationship, along with the notation we used in class: 1/ λ=R(1/n2-1/h2). Here λ is the wavelength of the photon emitted by the electron as it steps down from the kth energy level to the nth energy level, both k and n being integer numbers, and R is the Rydberg Constant, i.e. R=2π2e4m/ch3 ; h is Planck Constant, c is the speed of light in vacuum. The Rydberg relationship, written above, chiefly pops out when n is fixed, for instance to 2, and k is considered to cover up, all levels above the nth level. Thusly, Rydberg could determine R, empirically to be about 1.1x105 cm-1. Check this value, using the above Bohr Rydberg Constant R expression, knowing the following data in CGS unit system: e=4.8x10-10 esu, m=0.9x10-27 g, c=3x1010 cm/s, h=6.6x10-27 ergxs.

Conduct an analysis (you can use Excel) to answer the following question. Show an ANOVA table.

A grower wishes to compare yields of four different varieties of pumpkins for yield (tons/ac).  His experiment consisted of four replications for each variety.  Is there a significant difference between the varieties in yield?  Do a Tukey’s test. Give complete conclusions with a properly labeled tabulated results. Data are as follows:

Variety A        Variety B        Variety C       Variety D

27                   29                   30                   32

28                   28                   29                   29

29                   29                   29                   31

25                   27                   31                   32

An experiment was conducted to compare the effect of four different irrigation treatments (1, 2, 3, 4) on grape yield (lbs/vine).  Results obtained were as follows:

Conduct an ANOVA in Excel to verify if the treatments resulted in significant differences in grape yield.  Conduct an LSD test to find out which treatments were the best for producing higher grape yields, if the ANOVA was significant. Make appropriate conclusions and present your results in a graph.

3.  A sample of overwintering lady-bird beetles consisted of 37 “black with red spots” phenotypes and 42 “red with black spots” phenotypes.  Test the hypothesis that the overwintering populations consists of equal numbers of each phenotype. Do the calculation by hand

Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and income earned per year.

c) Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the linear model.                                                           

Third, the researcher wishes to use numerical descriptive measures to summarize the data on each of the two variables: hours worked per week and income earned per year.

b. Compute the correlation coefficient using the relevant Excel function to measure the direction and strength of the linear relationship between the two variables. Display and interpret the correlation value.     

Data for HOURSWORKED63 Excel spreadsheet is below:

1. What is the purpose and possible components of a partnership agreement? 2. How does mutual agency affect a partnership? 3. How is net income of a partnership taxed? 4. What is the difference between an LLC and an LLP? (Hint: An LLC and and LLP are not a limited partnership. All three are separate forms of organization.) 5. How are partnership profits allocated? 6. What is the difference between partnership liquidation and partnership dissolution? (Hint: do not report that they are the same.)

Three identical blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force F⃗ . (Figure 1) The magnitude of the tension in the string between blocks B and C is T = 3.00 N . Assume that each block has mass m = 0.400 kg . What is the magnitude F of the force? What is the tension TAB in the string between block A and block B? Express your answers numerically in newtons

he commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of eight minutes ("2012 annual report," 2012). a.) Find the height of this uniform distribution. b.) Find the probability of waiting between four and five minutes. c.) Find the probability of waiting between three and eight minutes. d.) Find the probability of waiting five minutes exactl

What are the differences between single charging rate and multiple charging rates? What factors might a company consider when determining how to allocate support department costs to a producing department? Give some examples of a type of support department costs and why it might be reasonably allocated to a producing department or departments.

What are the three methods of allocation and what are the differences between them? Why might a company choose one method over another?

A makeup company is testing a new product on three different groups. Each group represents a different target market for the makeup. The developer collects scores from a random sample from each group. The results are shown below

That is the sum of squares Between  SS_(Between)?