Write out the total wave function $\Psi(x, t)$ for an electron in the n = 3 state of a 10 nm wide infinite well, Other than the symbols x and t, the function should include only numerical values.

The first two terms in the semiempirieal binding energy formula deal solely with the internucleon attraction. (a) Calculate the ratio of the second term to the first term for A = 20. What does it say about the surface nucleons? (b) Repeat part (a), but for A = 220.

Barrett Kitchens produces a variety of items in accordance with special job orders from hospitals, plant cafeterias, and university dormitories. An order for 2,100 cases of mixed vegetables costs $9 per case: direct materials,$4; direct manufacturing labor, $3; and manufacturing overhead allocated,$2. The manufacturing overhead rate includes a provision for normal spoilage. Consider each requirement independently. 1. Assume that a laborer dropped 420 cases. Suppose part of the 420 cases could be sold to a nearby prison for $420 cash. Prepare a journal entry to record this event. Calculate and explain briefly the unit cost of the remaining 1,680 cases. 2. Refer to the original data. Tasters at the company reject 420 of the 2,100 cases. The 420 cases are disposed of for$840. Assume that this rejection rate is considered normal. Prepare a journal entry to record this event, and do the following: a. Calculate the unit cost if the rejection is attributable to exacting specifications of this particular job. b. Calculate the unit cost if the rejection is characteristic of the production process and is not attributable to this specific job. c. Are unit costs the same in requirements 2a and 2b? Explain your reasoning briefly. 3. Refer to the original data. Tasters rejected 420 cases that had insufficient salt. The product can be placed in a vat, salt can be added, and the product can be reprocessed into jars. This operating, which is considered normal, will cost $420. Prepare a journal entry to record this event and do the following: a. Calculate the unit cost of all the cases if this additional cost was incurred because of the exacting specifications of this particular job. b. Calculate the unit cost of all the cases if this additional cost occurs regularly because of difficulty in seasoning. c. Are unit costs the same in requirements 3a and 3b? Explain your reasoning briefly.

A particle of mass m and energy E moving in a region where there is initially no potential energy encounters a potential dip of width L and depth $U = -U_0.$ Show that the reflection probability is given by

$$U(x)=\left\{\begin{array}{cc}{0} & {x \leq 0} \\ {-U_{0}} & {0<x<L} \\ {0} & {x \geq L}\end{array}\right.$$

A tiny $1 \mu g$ particle is in a 1 cm wide enclosure and takes a year to bounce from one-end to the other and back, (a) How many nodes are there in its enclosure? (b) How would your answer change if the particle were more massive or moving faster?

Why is the radiation analysis of enclosures that consist of black surfaces relatively easy? How is the rate of radiation heat transfer between two surfaces expressed in this case?

A 1-shell and 2-tube type heat exchanger has an overall heat transfer coefficient of $300 Btu/h \cdot ft^2 \cdot ^\circ E$ The shell side fluid has a heat capacity rate of $20,000 Btu/h \cdot ^\circ F,$ while the tube side fluid has a heat capacity rate of $40,000 Btu/h \cdot ^\circ F.$ The inlet temperatures on the shell side and tube side are $200^\circ F$ and $90^\circ F,$ respectively. If the total heat transfer area is $100 ft^2,$ determine (a) the heat transfer effectiveness and (b) the actual heat transfer rate in the heat exchanger.

Calculate the constants A and $\phi$ for arbitrary initial conditions, $x_0$ and $v_0,$ in the case of the forced response given by $x(t)=A e^{-\zeta \omega_{n} t} \sin \left(\omega_{d} t+\phi\right)+X \cos (\omega t-\theta)$ Compare this solution to the transient response obtained in the case of no forcing function (i.e., $F_0 = 0$).

Why do managers consider direct costs to be more accurate than indirect costs?

The Matthew Company uses a normal job-costing system at its Minneapolis plant. The plant has a machining department and an assembly department. Its job-costing system has two direct-cost categories (direct materials and direct manufacturing labor) and two manufacturing overhead cost pools (the machining department overhead, allocated to jobs based on actual machine-hours, and the assembly department overhead, allocated to jobs based on actual direct manufacturing labor costs). The 2017 budget for the plant is as follows:

$$\begin{matrix} \text{ } & \text{Machining Department} & \text{Assembly Department}\\ \text{Manufacturing overhea} & \text{\$ 1.500.000} & \text{\$ 5.100.000}\\ \text{Direct manufacturing labor costs} & \text{\$ 1.600.000} & \text{\$ 3.000.000}\\ \text{Direct manufacturing labor-hours} & \text{120.000} & \text{280.000}\\ \text{Machine-hours} & \text{30.000} & \text{270.000}\\ \end{matrix}$$

. 1. Present an overview diagram of Matthew's job-costing system. Compute the budgeted manufacturing overhead rate for each department. 2. During February, the job-cost record for Job 494 contained the following:

$$\begin{matrix} \text{ } & \text{Machining Department} & \text{Assembly Department}\\ \text{Direct materials used} & \text{\$ 42.00} & \text{\$ 78.000}\\ \text{Direct manufacturing labor costs} & \text{\$ 15.000} & \text{\$ 19.000}\\ \text{Direct manufacturing labor-hours} & \text{1100} & \text{1300}\\ \text{Machine-hours} & \text{2800} & \text{1100}\\ \end{matrix}$$

. Compute the total manufacturing overhead costs allocated to Job 494. 3. At the end of 2017, the actual manufacturing overhea costs were $1.800.000 in machining and$5.300.000 in assembly. Assume that 33.000 actual machine-hours were used in machining and that actual direct manufacturing labor costs in assembly were $3.200.000. Compute the over- or underallocated manufacturing overhead for each department.

How does radiosity for a surface differ from the emitted energy? For what kind of surfaces are these two quantities identical?

Applewhite Corporation, a manufacturing company, is analyzing its cost structure in a project to achieve some cost savings. Which of the following statements is/are correct? I. The cost of the direct materials in Applewhite’s products is considered a variable cost. II. The cost of the depreciation of Applewhite’s plant machinery is considered a variable cost because Applewhite uses an accelerated depreciation method for both book and income tax purposes. III. The cost of electricity for Applewhite’s manufacturing facility is considered a fixed cost, even if the cost of the electricity has both variable and fixed components. 1. I, II, and III are correct. 2. I only is correct. 3. II and III only are correct. 4. None of the listed choices is correct.

Show that the solution can be written $x(t)=\frac{f_{0}}{\omega_{n}^{2}-\omega^{2}}\left[\cos \omega t-\cos \omega_{n} t\right]$ can be written $x(t)=\frac{f_{0}}{2\left(\omega_{n}^{2}-\omega^{2}\right)} \sin \frac{\omega t+\omega_{n} t}{2} \sin \frac{\omega_{n} t-\omega t}{2}$

The forced response of a single-degree-of-freedom, spring–mass system is modeled by (assume the units are Newtons) $3 \ddot{x}(t)+12 x(t)=3 \cos \omega t$ Compute the magnitude of the forced response for the two cases $\omega = 2.1 rad/s$ and $\omega = 2.5 rad/sec.$ Comment on why one value is larger then the other.