1)      What evidence is there to support String Theory? Is String Theory really a scientific theory, or is it “just philosophy”? Why or why not? Does it have potential for proof?

Discuss Vibrational Spectroscopy of a diatomic molecule (harmonic oscillator). Give the selection rule and mathematical energy expressions.   

1. A charge of +3 nC is at the point (0,2,0), and a charge of -1 nC is at the point (0,-2,0).

a) Find the electric field (E) at the point (0,-1,1).

b) Find the force of a 3 uC charge at (1,0,0).

A 65 μC point charge is at the origin.

Find the electric field at the point x1 = 65 cm ,y1 = 0.

Find the electric field at the point x2 = 45 cm , y2 = 45 cm .

Find the electric field at the point  x3 = -20 cm , y3 = 75 cm .

Find Ex,Ey in each electric field point in   N/C unit.

1. A quasar("quasi-stellar radio source") is a star like object. we would expect one of the wavelength emitted by a quasar to be about 656nm. How ever, we measure this wavelength to be 760nm. How fat are quasars moving relative to us. hint use doppler effect.

2.sunlight (400nm-700nm) going through a diffraction grating results in an interference pattern in the form of a ranbow,

a. which end of the spectrum, red or violet, is closer to the central maximum? explain.

b. what color is the central maximum? why?

Discuss Vibrational Spectroscopy of a diatomic molecule (harmonic oscillator). Give the selection rule and mathematical energy expressions.                                                 

A boat leaves its home port in search of fish and travels 35 km at 30o S of E, then 10 km due S, then 50 km due E and finally 12 km at 20o N of E. Having failed to find any fish, the crew throws the captain overboard and decides to turn home. a. (/4) If the boat is to sail straight home to port, what direction should it sail and how far will it have to travel? You may use the method of graphical vector addition OR addition of vector components to solve the problem. Express your answer in terms of the magnitude and the direction of the final position vector.
b. If the entire trip, including the return to port, takes 4.50 h, determine the ship’s average speed and average velocity in m/s.

In your own words explain why appropriate kVp settings are important in digital radiography.

A coaxial cylindrical conductor with outer radius R2 and inner radius R1 and has dielectric Er relative dielectric between the conductor. Is the charge per unit length on the Anner cylinder is lemda, find (a) D, E for a <r<b ( (b) potential difference between the conductors (c) the capacitance per unit length.

Assume you are given a task to design either Side-view mirror (students with even ID number) or Front grill (students with odd ID number) in your first job in automotive industry. In order to design a component or a system you need to satisfy the design criteria. Moreover, the interaction of the component or a system with neighboring component and/or system may pose additional design challenges. Before you begin your design work, answering the following question will help you make right decision and convince the management that your design meet all the criteria.

a. What is the function I need to achieve?

b. What are the metrics (e.g. NVH, FE, Durability, Space, Mass etc.)?

c. What kind of metric is it (lower the better, meet a threshold, nominal the best)?

d. Are there tradeoffs? What metrics are involved in tradeoff

e.What are the system alternatives?

f. What are the packaging tradeoffs?

g. What are the design parameters (Control Factors)?

h. What are the key inputs, outputs?

i. What type(s) of tests or simulation will provide me the desired data to make the tradeoff charts, achieve objectives?

j. Do I know how to do the tests or simulations? If not, how can you get this done?

Prepare a table with the possible answers to above questions. You need to use your imagination and engineering judgement to come up with your arguments.

In a Compton scattering experiment, an x-ray photon scatters through an angle of 22.2° from a free electron that is initially at rest. The electron recoils with a speed of 2,520 km/s.

(a) Calculate the wavelength of the incident photon.
nm

(b) Calculate the angle through which the electron scatters.
°