De Broglie Wavelength Example Problem

This example problem demonstrates how to find the wavelength of a moving electron using de Broglies equation.​ While an electron has properties of a particle, the de Broglie equation may be used to describe its wave properties. Problem: What is the wavelength of an electron moving at 5.31 x 106 m/sec?Given: mass of electron 9.11 x 10-31 kgh 6.626 x 10-34 J ·s Solution: de Broglies equation isÃŽ » h/mvÃŽ » 6.626 x 10-34 J ·s/ 9.11 x 10-31 kg x 5.31 x 106 m/secÃŽ » 6.626 x 10-34 J ·s/4.84 x 10-24 kg ·m/secÃŽ » 1.37 x 10-10 mÃŽ » 1.37 Ã… Answer: The wavelength of an electron moving 5.31 x 106 m/sec is 1.37 x 10-10 m or 1.37 Ã….

The Hero s Journey By Joseph Campbell - 1538 Words

Two books can seem completely different from each other when judged by characteristics such as genre, plot, and theme. However, if people were to look at the books together and as a whole, they might notice one striking similarity between the two. That striking similarity is known as the hero’s journey. First observed and documented by Joseph Campbell, the hero’s journey is a concept in which heroes, or people who commit actions for the greater good, follow a three-step cycle known as departure, fulfillment, and return. At the first stage of the hero’s journey, the hero receives a call to an adventure that takes him from the comforts of his home. Next, at the most important stage of the hero’s journey, the hero begins to experience life†¦show more content†¦Unlike several of the other characters in The Joy Luck Club, Lindo Jong embodies the hero’s journey as first shown by the completion of the first stage: departure. Lindo begins her journ ey at the age of two when the village matchmaker arranges for her to be married to Huang Tyan-yu. Despite her lack of consent, Lindo recognizes and states that â€Å"even if I had known I was getting a bad husband, I had no choice, now or later† (Tan 51). Lindo grows up in the countryside of China, where all power over decisions is given to the parents. Should she face difficult hardships later on in her life, she does not have the authority to better her situation. Lindo’s weakness--which is her natural obedience to her mother in order to prevent her from â€Å"losing face†--in combination with her lack of choice in any matter will inevitably leads to trouble as she receives her call to adventure. Speaking of call to adventure, although Lindo began her journey ten years ago, she has yet to cross the threshold into her heroic venture. A natural disaster, however, changes that. At the age of twelve, her life completely changes when a flood â€Å"destroyed all th e wheat [Lindo’s] family had planted that year and made the land useless for years to come† (Tan 53). Due to the flood,

The Characters of Julius Caesar by William Shakespeare Essay Sample free essay sample

The chief characters ofJulius Caesarby William Shakespeare are predominately are educated. and political figures. Antony. Brutus. Cassius. and Caesar all likewise in some ways because of their similar backgrounds. but they besides have several differences. Cassius and Caesar are the most likewise. The both have a gustatory sensation for power. and they have a job with following others. They have strong personalities and are natural leaders. Caesar has succeeded in obtaining the trueness of the Roman people and his ground forces. Cassius is the leader of the blackwash secret plan and besides has the ability to rock others to follow him. However. Caesar is more unfastened about his motivations while Cassius is more sly. He is non one who can associate with the common people. Caesar even says that he is thin and enjoys no pleasances. Caesar is rather the antonym. He does bask life and all of the pleasances that it brings. We will write a custom essay sample on The Characters of Julius Caesar by William Shakespeare Essay Sample or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Cassius is plotting the blackwash of Caesar. but Caesar had defeated Pompeii whom he had one time sworn commitment. Brutus and Antony are besides more likewise. They had both been loyal to Caesar and considered his closest friends. Brutus did bewray him while Antony remained loyal to the terminal. They both loved their state more than themselves. Brutus merely goes against Caesar because he is convinced he will declare himself king. Brutus would do good with his closest friend as male monarch. but he put what he thought was best for his fellow countrymen foremost. Antony. being a military adult male is every bit loyal to his ground forces and military as Brutus is to his countrymen. These two work forces are forced to do determination that will change the classs of their lives. Antony is far brighter and more trained than Brutus when it comes to military schemes When he is a portion of the blackwash squad. Brutus still takes the clip to acknowledge the good qualities that Caesar possessed. Antony besides praises the Brutus after his decease. He knew that he did the incorrect thing with honest purp oses. The drama. Julius Caesar has been enjoyed for 100s of old ages. This has been true because of the strong characters that Shakespeare displays to the audience. It will be entertaining for coevalss to come because of the strong plot line and the unforgettable characters. Plants Cited Shakespeare. William.Julius Caesar. 1623. New York: Washington Square Press. 2004.

Lacsap’s Fraction free essay sample

For its external structure, Lacsap’s Fraction is analogous to Pascal’s Triangle. Lacsap’s Fraction presents the way of generating and organizing the binomial coefficients. Within this investigation, the work is planning to be divided into two parts. In the first part, the content will relate to the pattern of numerators. In the second part, I am going to do the research on the patterns of denominator and the general statement for. Admittedly, the technology of computing will be involved into this investigation (E. g. Geogebro and GSP5chs). The following figure 1-1 illustrates Lacsap’s Fraction. Firstly, I am going to research the numerator patterns. By observing the numerators of these fractions, it is illustrated that the first row of numerator is 1, second row of numerator is 3, third row of numerator is 6, fourth row of numerator is 10 and fifth row of numerator is 15. Let’s present it into the mathematical way: (= numerator of the row) Continued I decide to let numerator as the y-axis and nth row as the x-axis. We will write a custom essay sample on Lacsap’s Fraction or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Numerator Row number Fig. 2-1 By looking through the diagram (Fig. 2-1), the shape of the curve seem to be similar with the quadratic function curve (See Fig. 2-2) Secondly, let’s assume the relationship between the row number, n, and the numerator in each row is quadratic function. Next step, I am going to prove it. Fig. 2-2 Assuming their relationship is a quadratic function, and then chooses any 3 group of numbers to substitute into the equation. As x-axis represents the number of, y-axis represents the number of numerator. Chosen number group: (1,1), (2,3) and (3,6). I am going to solve it by using Matrix method , by using GC (graphic calculator) () Finally, substituting another group of data into f(x) ensure this function equation pattern expression of numerator is correct. Chosen number group: (6,21) Thus, the pattern expression equation is exact correct and corresponds to the graph it illustrated. Let’s rewrite the equation to. According to the top equation we can directly substitute row number 7 into, the numerator which equals to. * In the part B, it will relate to pattern of the fraction’s denominator. And the pattern of denominator was presented by the general statement of , firstly let be the element in the row, starting with. Take an example first, according to the figure 3-1, the denominator of fourth row of the third number is 6, and we change it into the form which is. Fig. 3-1 In the second step, looking at the denominators in each row, it is illustrated that the second row of denominator is 2, third row is 4, fourth row is 6 and 7, for fifth row of denominator is 15. In order to make it clear, I make a table (= denominator of the row). And this model really plays an important role in this task and provides me a more convenient method to find out the general statement. Within this task, in part B * Variables: the number of row and element number * Constraint:value of denominator Moreover, in the part B the mathematical model of integration by substitution plays a significant role, the general statement is getting through it.