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  • Question 1
    • MCAT-part-3-page300-image60
      A Hertzsprung - Russel diagram illustrates the different stages in a star’s life cycle. Stars evolve along the main
      sequence, increasing in surface temperature. After the main sequence stage, a star cools and expands. Using
      the diagram, which stage would you expect to come directly after the main sequence?

      Section: Physical Sciences 

      Answer: A
  • Question 2
    • 1
      MCAT-patt-4-page313-image145
      Equation 1
      The modes are designated by two numbers, m and n. m indicates the number of diameter nodes, and n
      indicates the number of circular nodes. Several modes of vibration are shown in Figure 1.
      MCAT-patt-4-page313-image144
      Figure 1
      If the tension of a drum membrane is increased by a factor of four and the radius is increased by a factor of
      two, then the (1,1) modal frequency would:

      Section: Physical Sciences 

      Answer: A
  • Question 3
    • Millenialism is, generally speaking, the religious belief that salvation and material benefits will be conferred
      upon a society in the near future as the result of some apocalyptic event. The term derives from the Latin word
      for 1,000; in early Christian theology, believers held that Christ would return and establish his kingdom on earth
      for a period of a thousand years.
      Millenialist movements, Christian and non-Christian, have arisen at various points throughout history, usually in
      times of great crisis or social upheaval. In “nativistic” millenialist movements, a people threatened with cultural
      disintegration attempts to earn its salvation by rejecting foreign customs and values and returning to the “old
      ways.” One such movement involving the Ghost Dance cults, named after the ceremonial dance which cult
      members performed in hope of salvation, flourished in the late 19th century among Indians of the western
      United States.
      By the middle of the 19th century, western expansion and settlement by whites was seriously threatening Native
      American cultures. Mining, agriculture and ranching encroached on and destroyed many Indian land and food
      sources. Indian resistance led to a series of wars and massacres, culminating in the U.S. Government’s policy
      of resettlement of Indians onto reservations which constituted a fraction of their former territorial base. Under
      these dire circumstances, a series of millenialist movements began among western tribes.
      The first Ghost Dance cult arose in western Nevada around 1870. A Native American prophet named
      Wodziwob, a member of a Northern Paiute tribe, received the revelation of an imminent apocalypse which
      would destroy the white man, restore all dead Indians to life, and return to the Indians their lands, food supplies
      (such as the vanishing buffalo), and old way of life. The apocalypse was to be brought about with the help of a
      ceremonial dance and songs, and by strict adherence to a moral code which, oddly enough, strongly resembled
      Christian teaching. In the early 1870s, Wodziwob’s Ghost Dance cult spread to several tribes in California and
      Oregon, but soon died out or was absorbed into other cults.
      A second Ghost Dance cult, founded in January 1889, evolved as the result of a similar revelation. This time
      Wovoka – another Northern Paiute Indian, whose father had been a disciple of Wodziwob – received a vision
      during a solar eclipse in which he died, spoke to God, and was assigned the task of teaching the dance and the
      millennial message. With white civilization having pushed western tribes ever closer to the brink of cultural
      disintegration during the previous twenty years, the Ghost Dance movement spread rapidly this time, catching
      on among tribes from the Canadian border to Texas, and from the Missouri River to the Sierra Nevadas – an
      area approximately one-third the size of the continental United States.
      Wovoka’s Ghost Dance doctrine forbade Indian violence against whites or other Indians; it also involved the
      wearing of “ghost shirts,” which supposedly rendered the wearers invulnerable to the white man’s bullets. In
      1890, when the Ghost Dance spread to the Sioux Indians, both the ghost shirts and the movement itself were
      put to the test. Violent resistance to white domination had all but ended among the Sioux by the late 1880s,
      when government- ordered reductions in the size of their reservations infuriated the Sioux, and made them
      particularly responsive to the millenialist message of the Ghost Dance. As the Sioux organized themselves in
      the cult of the dance, an alarmed federal government resorted to armed intervention which ultimately led to the
      massacre of some 200 Sioux men, women and children at Wounded Knee, South Dakota in December of
      1890. The ghost shirts had been worn to no avail, and Wounded Knee marked the end of the second Ghost
      Dance cult.
      Which of the following was NOT part of the spiritual revelation described in the fourth paragraph of the
      passage?

      Section: Verbal Reasoning 

      Answer: A
  • Question 4
    • …Until last year many people – but not most economists – thought that the economic data told a simple tale.
      On one side, productivity – the average output of an average worker – was rising. And although the rate of
      productivity increase was very slow during the 1970’s and early 1980’s, the official numbers said that it had
      accelerated significantly in the 1990’s. By 1994 an average worker was producing about 20 percent more than
      his or her counterpart in 1978.
      On the other hand, other statistics said that real, inflation- adjusted wages had not been rising at anything like
      the same rate. In fact, some of the most commonly cited numbers showed real wages actually falling over the
      last 25 years. Those who did their homework knew that the gloomiest numbers overstated the case…Still, even
      the most optimistic measure, the total hourly compensation of the average worker, rose only 3 percent between
      1978 and 1994…
      …But now the experts are telling us that the whole thing may have been a figment of our statistical
      imaginations… a blue-ribbon panel of economists headed by Michael Boskin of Stanford declared that the
      Consumer Price Index [C.P.I.] had been systematically overstating inflation, probably by more than 1 percent
      per year for the last two decades, mainly failing to take account of changes in the patterns of consumption and
      improvements in product quality…
      …The Boskin report, in particular, is not an official document – it will be quite a while before the Government
      actually issues a revised C.P.I., and the eventual revision may be smaller than Boskin and his colleagues
      propose. Still, the general outline of the resolution is pretty clear. When all the revisions are taken into account,
      productivity growth will probably look somewhat higher than it did before, because some of the revisions being
      proposed to the way we measure consumer prices will also affect the way we calculate growth. But the rate of
      growth of real wages will look much higher – and so it will now be roughly in line with productivity, which will
      therefore reconcile numbers on productivity and wages with data that show a roughly unchanged distribution of
      income between capital and labor. In other words, the whole story about workers not sharing in productivity
      gains will turn out to have been based on a statistical illusion.
      It is important not to go overboard on this point. There are real problems in America, and our previous concerns
      were by no means pure hypochondria. For one thing, it remains true that the rate of economic progress over
      the past 25 years has been much slower than it was in the previous 25. Even if Boskin’s numbers are right, the
      income of the median family – which officially has experienced virtually no gain since 1973 – has risen by only
      about 35 percent over the past 25 years, compared with 100 percent over the previous 25. Furthermore, it is
      quite likely that if we “Boskinized” the old data – that is, if we tried to adjust the C.P.I. for the 50’s and 60’s to
      take account of changing consumption patterns and rising product quality – we would find that official numbers
      understated the rate of progress just as much if not more than they did in recent decades…
      …Moreover, while workers as a group have shared fully in national productivity gains, they have not done so
      equally. The overwhelming evidence of a huge increase in income inequality in America has nothing to do with
      price indexes and is therefore unaffected by recent statistical revelations. It is still true that families in the
      bottom fifth, who had 5.4 percent of total income in 1970, had only 4.2 percent in 1994; and that over the same
      period the share of the top 5 percent went from 15.6 to 20.1. And it is still true that corporate C.E.O.’s, who
      used to make about 35 times as much as their employees, now make 120 times as much or more…
      …While these are real and serious problems, however, one thing is now clear: the truth about what is
      happening in America is more subtle than the simplistic morality play about greedy capitalists and oppressed
      workers that so many would-be sophisticates accepted only a few months ago. There was little excuse for
      buying into that simplistic view then; there is no excuse now…
      The Boskin report does all of the following EXCEPT:

      Section: Verbal Reasoning

      Answer: C
  • Question 5
    • Every atomic orbital contains plus and minus regions, defined by the value of the quantum mechanical function
      for electron density. When orbitals from different atoms overlap to form bonds, an equal number of new
      molecular orbitals results. These are of two types: σ or π bonding orbitals, formed by overlap between orbital
      regions with the same sign, and antibonding σ* or π* orbitals, formed by overlap between regions with opposite
      signs. Bonding orbitals have lower energy than their component atomic orbitals, and antibonding orbitals have
      higher energy. The electron pairs reside in the lower-energy bonding orbitals; the higher-energy, less stable
      orbitals remain empty when the molecule is in its ground state.
      A benzene ring has six unhybridized pz
       orbitals (one from each carbon atom), which together from six
      molecular π orbitals, each one delocalized over the entire ring. Of the possible π orbital structures for benzene,
      the one with the lowest energy has the plus region of all six p orbital functions on one side of the ring. The six
      electrons occupying the orbitals fill the three most stable molecular orbitals, leaving the other three empty.
      1
      Among conjugated polyenes (molecules with alternating carbon-carbon double and single bonds) why are those
      that are longer able to absorb longer wavelengths of light?

      Section: Physical Sciences 

      Answer: C
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