Question: Consider one particle confined to a cube of side L; the concentration in effect is n = l/L3. Find the kinetic energy of the particle

Consider one particle confined to a cube of side L; the concentration in effect is n = l/L3. Find the kinetic energy of the particle when in the ground orbit. There will be a value of ht concentration for which this zero-point quantum kinetic energy is equal to the temperature τ. (At this concentration the occupancy of the lowest orbital.) show that the concentration n0 thus defined is equal to the quantum concentration nQ defined by (63), with in a factor of the order of unity.

Step by Step Solution

★★★★★

3.29 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

According to 59 the energies of the states of the system are 1 n 2 x n ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

42-P-S-S-T-T (14).docx

120 KBs Word File

Students Have Also Explored These Related Solid State Questions!

Suppose you are building a stairway (such as shown in Figure 5.27). Assume that the vertical rise is 8 ft, thehorizontal run is 12 ft, and the maximum rise for each step is 8 inches. How many steps...

A cube of side l rests on a rough floor. It is subjected to a steady horizontal pull. F, exerted a distance h above the floor as shown in Fig. 9-81. As F is increased, the block will either begin to...

A cube of side l is places in a uniform field E = 6.50 X 103 N/C with edges parallel to the field lines. (a) What is the net flux through the cube? (b) What is the flux though each of its six faces?

A cube of side 8.50 cm is placed in a uniform field E = 7.50 103 N/C with edges parallel to the field lines. (a) What is the net flux through the cube? (b) What is the flux through each of its six...

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

watch the three short clips below then answer the questions Copy and paste the three links below 1) Projectile Motion https://www.nsf.govews/mmg/mmg_disp.jsp?med_id=72205&from= 2) Newton's Second Law...

Question: 2. Consider a particle in an infinite square well. It is in the initial state y(x, 0) = A [$1(x) + $2(x)] where on (x) is the energy eigenfunctions for the infinite square well. (a) Plot...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

please help me solve these questions, the teacher included the final answer in the screenshots but I want the steps for it so I can understand how they got the final answer ( that's all screenshot so...

Please help me with this lab. Only need to answer the "Report Tasks/Questions" 1. Electric Field Consider an electric charge exerting forces on other charges which are separated in space from the rst...

Please help me with my Lab. Only need to answer Report Tasks/Questions. There are 5 questions in total. Some have a, b, c, etc parts. 1. Electric Field Consider an electric charge exerting forces on...

An acetone ethanol mixture of 0.5 mole fraction acetone is to be separated by batch distillation at 101 kPa. Vapor liquid equilibrium data at 101 kPa are as follows: (a) Assuming an L/D of 1.5 times...

Suppose France produces two types of goods: agricultural and capital. The following diagram shows its current production possibilities frontier for barley, an agricultural good, and locomotives, a...

how should you prioritize the layout of a bar pouring station to balance efficiency and space constraints, and what potential challenges might arise if these elements are not properly balanced?

decide control risk, inherent risk and planned audit evidence will be affected (increase or decrease) in the following cases, and then list your analysis: i. You determine through analytical...

The following information, taken from records in the Circle Restaurant,provides the results of butcher tests on 10 legs of veal, Canada Grade A1,purchased over the last several weeks from Georges...

A bacteria culture contains three types of bacteria. Each type requires certain amounts of carbon, phosphate, and nitrogen to survive. The daily requirements are shown in table. Each day the culture...

Louis Katz, a cost accountant at Papalote Plastics, Inc. (PPI), is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI. Louis's independent variable is production...

AKM Limited has annual credit sales of $20 million with an average collection period is three months. The company is considering factoring its A/R balances with a Rough Financing Limited at a 10%...

Consider Problem P1 of Section 12.4. (a) Show that this formulation can be strengthened by adding the constraints: L (1 K k1 skU(j k qj , j J. (b) Show that this new formulation can be transformed...

Let & Al represent the density of aluminum and PFe that of iron. Find the radius of a solid aluminum sphere that balances a solid iron sphere of radius r Fe on an equal-arm balance.

Estimate the number of Ping-Pong balls that would fit into a typical-size room (without being crushed). In your solution state the quantities you measure or estimate and the values you take for them.

An automobile tire is rated to last for 50 000 miles. To an order of magnitude, through how many revolutions will it turn? In your solution state the quantities you measure or estimate and the values...

Woodpecker, Inc., stock has an annual return mean and standard deviation of 12.4 percent and 43 percent, respectively. What is the smallest expected loss in the coming month with a probability of 2.5...

Alice world Scenario: The Blushing Snowlady Several snow people are outdoors, on a snow-covered landscape. A snowman is trying to meet a snow woman who is talking with a friend (another snow woman.)...

A project has the following estimated data: Price =$53 per unit; variable costs =$22 per unit; fixed costs =$31,460; required return =12 percent; initial investment =$46,200; life = four years. a....