PH 253 Midterm: ph253_S10_Exam_2

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turquoisegnu128

31 Jan 2019

School

University of Alabama

Department

Course

PH 253

Professor

All

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Ph 253 exam ii: solve three of the six problems below. All problems have equal weight: clearly mark your which problems you have chosen, do your work on separate sheets. Staple them to this exam paper when you are nished: you are allowed 1 sheet of standard 8. 5x11 in paper and a calculator, the state of a free particle is described by the following wave function. How does it differ from planck"s hypothesis for the energy of his oscillators? dx2 + x2 = (2) a (cid:19)1/2. 2(cid:16) x a(cid:17) e x2/2a2 a2 e x2/2a2 and d2. To save you some time, we note d dx2 (e x2/2a2. ) = x2 a2 a4 e x2/2a2: a phenomenological expression for the potential energy of a bond as a function of spacing is given by. For a stable bond, m < n. show that the molecule will break up when the atoms are pulled apart to a distance.

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I need help to solve these problems please

Solve all please.

INSTRUCTIONS: There are 15 problems on this exam, and each problem is worth 13 points, plus 5 points for writing down an approximate volume of the planet Earth in cubic miles at the bottomleft corner of page 3, for a total possible 200 points. For this exam, you are allowed to use one 8.5"X11" sheet of notes (both sides, in your own handwriting), pencil, eraser, ruler, scratch paper and calculator. Even though the questions are multiple-choice, you need to show enough work to justify your answer in order to receive full credit. After you have determined the correct solution to each problem, write the letter corresponding to your answer in the appropriate space on the right side of the page AND circle your answer. If your answer does not agree with any of the choices, after double-checking your work, choose option E) and prominently mark your answer (box, circle, underline, etc.). Time limit: Two hours. Attach (i.e. staple) any notecard and scratch paper to the rear of this exam paper. Good luck! MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. The northern third of Indiana is a rectangle measuring 96 miles by 132 miles. Thus, let D = [0, 96] times [0,132]. Assuming that the total annual snowfall (in inches), S(x,y), at (x,y) euro D is given by the function S(x,y) = 60e-0.001 (2x + y) with (x,y) euro D, find the average snowfall on D. 51.14 inches 52.06 inches 51.78 inches 52.44 inches Evaluate the work done between point 1 and point 2 for the conservative field F. Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. Evaluate the surface integral of G over the surface S. S is the portion of the cone Find the flux of the vector field F across the surface S in the indicated direction. Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. Integrate the function f over the given region. f(x,y) = 1/ln x over the region bounded by the x-axis, line x = 9, and curvey y = ln x Reverse the order of integration and then evaluate the integral Use a double integral in polar coordinates to find the area of the region specified in polar coordinates. the region inside both r = 7 sin Theta and r = 7 cos Theta Use spherical coordinates to find the volume of the indicated region. the region bounded above by the sphere x2 + y2 + z2 = 25 and below by the cone z = Find the center of mass of the rectangular solid of density (x,y,z) = xyz defined by 0 LE x LE 8, Use the given transformation to evaluate the integral. where R is the parallelogram bounded by the lines y = 8x + 8, y = 8x +9, y = -6x + 2, y = -6x +7 Evaluate the line integral along the curve C. Find the work done by F over the curve in the direction of increasing t.

Materials:

Measuring cups

Thermometer

Small pan.

Part A. Manual Centigrade vs Fahrenheit Graphing

1.Convert 0, 15, 38, 45, and 100 degrees of Celsius to digress of Fahrenheit using:

Â°F = (1.8 Ã Â°C) + 32. Fill in the data in the following data table.

Table 2. Data table for temperature Â°C vs. Â°F

Â°C	Â°F
0
15
38
45
100

2.Use the graph paper-I provided on line. Plot the above data using steps described. Be sure to calculate the range and scale.

Part B. Manual Volume vs Weight graphing

3.Fill Â¼, Â½, Â¾, and 1 measuring cups with water and weigh them.

4.Create your own data table and graph your data following graph making steps. Show your calculation steps on your graph paper. (Use graph paper-II under the course tab) (6 points)

5.Make sure to use two different graph papers (I and II) to be able to earn full credit.

6.You will need to scan and copy your graphs on a word document and submit.

Part C. Computer Graphing

1.It is very important to learn computer graphing after you have learned graphing data by hand. The computer will do most of the steps for you; you must provide data. Computer programs can create a complete graph from your data.

2.General computer graphing follows the following steps:

Open an Excel spreadsheet.

Enter the values without the units using A and B columns. Highlight the cells that are filled with data.

Choose Insert then Scatter from the pull down menu, select smooth lines and marker scatter or any other xy scatter.

If you choose layout; you could label the graph and the axes, and add gridlines.

Your graph should look like the following graph.

3.Above instructions assume that you have some knowledge of Microsoft Excel. Unless you are comfortable with your computer, you should have someone that can help you out when you try this the first time.

Using the data from Part A, and Part B make two computer graphs.

PH 253 Midterm: ph253_S10_Exam_2

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