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UNIVERSITY OF MONTENEGRO
INSTITUTE OF FOREIGN LANGUAGES
ENGLISH LANGUAGE TEST – final
Name ________________________
Index
_______
Faculty ____________________
SECTION A
Task 1
Translate the following sentences from English.
1. Since the distance between the Zeeman sub-levels is proportional to the magnetic field, this effect is used by astronomers to measure the
magnetic field of the Sun and other stars.
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2. According to the usual rules of quantum mechanics, the actual state of the electron may be any superposition of these states. This explains
also why the choice of z-axis for the directional quantization of the angular momentum vector is immaterial.
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3. Werner Heisenberg's matrix mechanics was the first successful attempt at replicating the observed quantization of atomic spectra. Later in the
same year, Schrödinger created his wave mechanics.
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4 Prior to the emergence of quantum mechanics as a separate theory, the mathematics used in physics consisted mainly of formal mathematical
analysis, beginning with calculus, and increasing in complexity up to differential geometry and partial differential equations.
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5. For simplicity, consider a system composed of two identical particles. As the particles possess equivalent physical properties, their state
vectors occupy mathematically identical Hilbert spaces.
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Task 2
5
Explain the following:
1. Infinite square well
2. eigenvalues
3. angular momentum
4. wavefunction
5. particle
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Task 3
Describe hydrogen atom using your own words.
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Task 4
Read the passage and fill in the gaps.
In other words, symmetric and antisymmetric states are essentially unchanged under the exchange of __________ labels: they are only multiplied
by a __________ of +1 or −1, rather than being "rotated" somewhere else in the Hilbert ___________. This indicates that the particle labels have
no physical __________, in agreement with our earlier discussion on indistinguishability.
We have mentioned that P is Hermitian. As a result, it can be regarded as an observable of the system, which means that we can, in principle,
perform a measurement to find out if a state is symmetric or antisymmetric. Furthermore, the equivalence of the particles indicates that the
Hamiltonian can be written in a symmetrical form, such as
well
particle
factor
eigenstate
space
function
meaning
set
equivalence
order
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Task 5
Explain Zeeman effect.
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SECTION B
Task 6
Hypothesizing
Rewrite each sentence so it has a similar meaning to the first. Use the word in bold.
1. I am sorry I didn’t invite him to the party.
wish
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2. I regret saying that to her.
If only
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3. Why weren’t you watching the road?
should ______________________________________________________________________
4. I don’t want you to tell her.
‘d rather _____________________________________________________________________
5. I shouldn’t have hit him.
Wish
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6. I don’t like it when she stays out so late.
Wish
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Conditionals
Put the verb in brackets into the correct tense to form the first, second, third, or zero conditional.
7. If I still ____________ (feel) sick, I ____________ (not go) on holiday next weekend.
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8. You make such delicious chocolate cakes! If you ____________ (sell) them, you ____________ (make) a fortune.
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9. Hello, Liz. Are you still looking for Pat? If I ____________ (see) her, I ____________ (tell) her you want to speak to her.
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Expressing criticism
Rewrite the sentences so that they express criticism.
10. My dad mends his motorbike in the living room.
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11. My brother leaves cap off the toothpaste.
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12. My sister often borrows my clothes without asking.
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13. Uncle Tom smokes cigars in the kitchen.
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14. My grandpa used to smoke tobacco in bed.
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15. Our great-grandma didn’t use to turn on her hearing aid.
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Questions
Write questions for the words underlined.
16. Maria did not come to the meeting because she was sick.
17. She eats a lot of fruit.
18. Jim did not go to work yesterday.
19. I will have to borrow some money.
20. Tom meets someone every day.
21. Someone lives in that house.
Negatives
Complete the sentence with a negative auxiliary.
22. Jackie speaks fluent French but I ____________.
23. We wanted to leave the party, but Fred ____________.
24. I’ve been to America but my parents ____________.
25. I thought Volvos were made in Austria, but they ____________.
26. They said the weather would be nice today, but it ____________.
27. I am going to give up smoking, but my girlfriend ____________.
30
Total
60