What is the probability that a particle in the first excited (n=2) state of an infinite well would be found in the middle third of the well? How does this compare with the classical expectation? Why?

Show that the energy required to remove a neutron from helium-4 is 20.6 MeV.

Lawrence Company is a manufacturer of contemporary door handles. The vice president of Design attends home shows twice a year so the company can keep current with home trends. Because of its volume, Lawrence uses process costing to account for production. Costs and output figures for August are as follows:

$$\begin{matrix} \text{Lawrence Company's Process Costing for the Month Ended August 31, 2017}\\ & \text{Units} & \text{Direct Materials} & \text{Conversion Costs}\\ \text{Standard cost per unit} & \text{} & \text{\$5.75} & \text{\$12.25}\\ \text{Work in process, beginning inventory (Aug. 1)} & \text{15,000} & \text{\$86,250} & \text{\$55,125}\\ \text{Degree of completion of beginning work in process} & \text{} & \text{100\\\%} & \text{30\\\%}\\ \text{Started in August} & \text{100,000}\\ \text{Completed and transferred out} & \text{95,000}\\ \text{Work in process, ending inventory (Aug. 31)} & \text{20,000}\\ \text{Degree of completion of ending work in process} & \text{} & \text{100\\\%} & \text{80\\\%}\\ \text{Total costs added during August} & \text{} & \text{\$569,000} & \text{\$1,307,240}\\ \end{matrix}$$

1. Compute equivalent units for direct materials and conversion costs. Show physical units in the first column of your schedule. 2. Compute the total standard costs of handled transferred out in August and the total standard costs of the August 31 inventory of work in process. 3. Compute the total August variances for direct materials and conversion costs. 4. Prepare summarized journal entries to record both the actual costs and standard costs for direct materials and conversion costs, including the variances for both production costs.

What are the steps in computing the cost of a prediction error when using the EOQ decision model?

Quantum-mechanical stationary states are of the general form $\Psi(x, t)=\psi(x) e^{-i \omega t}.$ For the basic plane wave, this is $\Psi(x, t)=A e^{i k x} e^{-i \omega t}=A e^{i(k x-\omega t)}$ and for a particle in a box, it is $\Psi(x, t)=A \sin (k x) e^{-i \omega t}.$ Although both are sinusoidal, we claim that the plane wave alone is the prototype function whose momentum is pure—a well-defined value in one direction. Reinforcing the claim is the fact that the plane wave alone lacks features that we expect to see only when, effectively, waves are moving in both directions. What features are these, and, considering the probability densities, are they indeed present for a particle in a box and absent for a plane wave?

Define the SHGC (solar heat gain coefficient), and explain how it differs from the SC (shading coefficient). What are the values of the SHGC and SC of a single-pane clear-glass window?

Give an example of how, under absorption costing, operating income could fall even though the unit sales level rises.

The Deli-Sub Shop owns and operates six stores in and around Minneapolis. You are given the following corporate budget data for next year: Variable costs change based on the number of subs sold. Compute the budgeted operating income for each of the following deviations from the original budget data. (Consider each case independently.) Required: 1. A 10% increase in contribution margin, holding revenues constant 2. A 10% decrease in contribution margin, holding revenues constant 3. A 5% increase in fixed costs 4. A 5% decrease in fixed costs 5. A 5% increase in units sold 6. A 5% decrease in units sold 7. A 10% increase in fixed costs and a 10% increase in units sold 8. A 5% increase in fixed costs and a 5% decrease in variable costs 9. Which of these alternatives yields the highest budgeted operating income? Explain why this is the case.

$$\begin{matrix} \text{Revenues} & \text{\$ 11.000.000}\\ \text{Fixed costs} & \text{\$ 3.000.000}\\ \text{Variable costs} & \text{\$ 7.500.000}\\ \end{matrix}$$

We can see the inside of a microwave oven during operation through its glass door, which indicates that visible radiation is escaping the oven. Do you think that the harmful microwave radiation might also be escaping?

Plot the solution given by equation $x(t)=\frac{\sqrt{\omega_{n}^{2} x_{0}^{2}+v_{0}^{2}}}{\omega_{n}} \sin \left(\omega_{n} t+\tan ^{-1} \frac{\omega_{n} x_{0}}{v_{0}}\right)$ for the case k = 1000 N/m and m = 10 kg for two complete periods for each of the following sets of initial conditions: a) $x_0 = 0 m,$ $v_{0}=1 \mathrm{m} / \mathrm{s}, \mathrm{b} ) x_{0}=0.01 \mathrm{m}, v_{0}=0 \mathrm{m} / \mathrm{s}, \text { and } \mathrm{c} ) x_{0}=0.01 \mathrm{m}, v_{0}=1 \mathrm{m} / \mathrm{s}$

Consider a gray and opaque surface at $0^\circ C$ in an environment at $25^\circ C.$ The surface has an emissivity of 0.8. If the radiation incident on the surface is $240 W/m^2,$ the radiosity of the surface is (a) $38 W/m^2$ (b) $132 W/m^2$ (c) $240 W/m^2$ (d) $300 W/m^2$ (e) $315 W/m^2$

Consider a 30-cm-diameter pan filled with water at $15^\circ C$ in a room at $20^\circ C,$ 1 atm, and 30 percent relative humidity. Determine (a) the rate of heat transfer by convection, (b) the rate of evaporation of water, and (c) the rate of heat transfer to the water needed to maintain its temperature at $15^\circ C.$ Disregard any radiation effects.

Consider a solid cylindrical rod whose side surface is maintained at a constant temperature while the end surfaces are perfectly insulated. The thermal conductivity of the rod material is constant and there is no heat generation. It is claimed that the temperature in the radial direction within the rod will not vary during steady heat conduction. Do you agree with this claim? Why?

Air is flowing through a smooth thin-walled 4-in diameter copper tube that is submerged in water. The water maintains a constant temperature of $60^\cdot F$ and a convection heat transfer coefficient of $176 Btu/h \cdot ft^2 \cdot R.$ If air (1 atm) enters the copper tube at a mean temperature of $90^\circ F.$ with an average velocity of 8 ft/s, determine the necessary copper tube length so that the outlet mean temperature of the air is $70^\circ F.$