For a particle moving in a circular orbit, the quantity mvr (mass x velocity x radius of the orbit) is a fundamental quantity called the angular momentum of the particle. Show that equation 2(3.144)r=n(lambda) is equivalent to the condition that the angular momentum of the electron in a hydrogen atom must be an integral multiple of h/2(3.144).

 
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For a particle in a ring, the energy levels can be expressed as En=h^2/2m(n/L)^2, where n=0, +-1, +-2,…, L=2pir is the circumference of the ring, and r is the radius of the ring. If r=4.0*10^-10m, find the energy and the corresponding wavelength () for n=0 to n=1 transition.

 
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For a parallel reaction A giving B and C, the reaction rate constant k1= 4.8 ×10-7 s-1, the selectivity between C and B was found to be 15. The initial concentration of A was 4.0×10-3mol/dm3. While B and C initial concentration was zero. Calculate the product distribution for B and C after the reaction would have proceeded for 1.5 minutes

 
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For a normal distribution with  = 480 and  = 32, find the x-values for Q1, Q2, and Q3. Round your answers to the nearest 1.

 A.502, 458, 480 B.458, 480, 502 C.It depends on the size of the population. D.400, 500, 600 E.It depends on the standard deviation and the mean.

 
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For a normal distribution of scores, what proportion of scores would fall: a. AboveaZscoreof1.00?

b. AboveaZscoreof2.00?

c. Above a Z score of 3.00?

d. BelowaZscoreof-2.00?

e. Betweenthelimitsof-1.00and1.00?

 
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For a normal distribution,a. What z-score separates the highest 25% from the rest of the scores?b. What z-score separates the highest 60% from the rest of the scores?c. What z-score separates the lowest 30% from the rest of the scores?d. What z-score separates the lowest 80% from the rest of the scores?

For normal distribution, X Z and Z 0 and Z 1 a) The value of Z-score that separates the highest 25% from the rest of the scores,That is, P Z z 0.25 P Z z 1 0.25 0.75The value of Z corresponding…

 
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For a moment assume that Descartes’ argument works in proving God’s existence, does the ultimate conclusion follow as stated in premise 6? Can Descartes be certain that God would not allow an evil demon or computer to systematically deceive humanity? Maybe God has a reason, or needs to teach humanity a lesson.

Surname 1Descartes’ arguments on Proving Existence of GodAssuming that Descartes’ arguments in proving God’s existence works, the ultimateconclusion will not follow as stated in premise 9….

 
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For a mixture prepared by mixing 5.00 g of caffeine (C8H10N4O2) with 250.0 mL of water.Calculate the boiling point of this mixture Calculate the vapor pressure of this mixture Calculate the freezing point of this mixture Calculate the osmotic pressure of this mixture at 25 °C

 
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For a sample of 8 companies, the number of employees and gross annual sales (in thousands) were recorded:

Employees 2 5 10 17 21 24 32 10

Sales 51.2 132.1 260.3 385.4 480.6 634.0 794.3 992.3

What percentage of the variation in gross annual sales is explained by the number of employees?

 
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For a sample of 7 shirts, the thread count and life of the shirt (years) were recorded:

Count 100 150 200 250 300 350 400

Life 1.2 1.8 2.5 2.3 3.7 4.3 3.9

What percentage of the variation in a shirt’s life is explained by the thread count?

 
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