46. (a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time given in the following figure. (b)Identify the time or times (ta, tb, tc, etc.) at which the instantaneous velocity has the greatest positive value. (c) At which times is it zero? (d) At which times is it negative?
10.1. (a) Show that (10.2.21) follows from (10.2.19) in the limiting case of a two-state atom. (b) Now consider, instead of the two-state model, a nonlinear electron oscillator model in which (3.2.18b) is replaced by d²x dt² +w?x + ax" = - Eo cos wt m in the case of an applied field of frequency w. Find, for n = 2, the solution for the induced dipole moment ex including terms up to second order in the field amplitude Eo. (c) For this nonlinear oscillator model with n = 3, find the solution for the induced dipole moment including terms up to third order in Eo./n(50 points) Consider the nonlinear electron oscillator model x+w²x + ax" = Eo cos wit m where Eo is the field amplitude, w? is the driving laser frequency, wo is the resonance, and n is an integer. This problem is part (b) and (c) of question 10.1 from the textbook. (a) Find, for n = 2, the solution for the induced dipole moment, ex, inluding terms up to second order in the field amplitude Eo. (b) For this nonlinear oscillator model with n = 3, find the solution for the induced dipole moment including terms up to third order in Eo. (c) Sketch (just sketch, don't need to plot) the potentials for n = 2 and n = 3.
Write down the general expression for the expectation value of an operator Ô for aquantum mechanical particle described by a wave function V(x, t). Briefly describe theconnection between operators, wave functions, expectation values and experimental mea-surements.
1 roac S Ily Neutral Solution pH of . It is said to be neutral. • This means that there are as many H* as OH. are neutral. and • Pure . is neither acidic or basic.
A voltaic cell is constructed in which the anode is a Cr²+ | Cr³+ half cell and the cathode is a Fe²+ | Fe³+ half cell. The half-cell compartments are connected by a salt bridge. (Use the lowest possible coefficients. Be sure to specify states such as (aq) or (s). If a box is not needed, leave it blank.) The anode reaction is: + The cathode reaction is: + The net cell reaction is: + In the external circuit, electrons migrate | electrode. In the salt bridge, anions migrate compartment. + the Fe²+ | Fe³+ electrode ( the Cr²+ | Cr³+ compartment ( the Cr²+ | Cr³+ *|Fe3+ the Fe²+
3 - Names of Molecular Compounds(5pts)Complete the table with the name for the compounds. (18pts)Complete the molecular compound structure table and upload an image of the completed table here.
Question 14 The creep rupture envelope are used to select and predict? Mark all that apply. safe loads acceptable temperatures 0.2 pts O acceptable time of imposed laods/nQuestion 7 The creep is a function of the followings: polymer properties exposue to sun light exposure time to a load exposure temperature applied load 0.2 pts environmmental factors/nD Question 15 0.1 pts The Boltzmann superposition principle states that the response of a polymer to a given load is dependent of the response of the polymer to any load, which is already imposed on the polymer. O True O False/nQuestion 10 Polymers creep below their yield point and but recover after the load is removed. O True 0.1 pts O False/nQuestion 5 In the case of polymers and their creeping, it is necessary to consider? Mark all that apply. temperature applied load time 0.2 pts O UV radiation
Why was this particular molecule selected among other candidates? Why is this molecule better/different from competitors? What parameters were important in the selection process?
