物理の英語 (3235)

Final Exam（70 分間）

平成 31 年度前期

担当：前野悦輝

July 23, 2019

A. Write down the words in English that best describe or complete the following
statements. (22 points)

3. The scattering rate is evaluated ( B4 ) the method of least squares.

A2. (Listen and answer.)

4. We have succeeded ( B5 ) stabilizing the reaction pressure ( B6 ) this way.

A3-6. Listen to some element names and write down their symbols.
A7-10. The plural forms (複数形) of the following words.
A8. percent,

1. The red shift is attributed ( B1 ) the Doppler shift and gravity.
2. Mercury remains ( B2 ) the liquid state even ( B3 ) room temperature.

A１. (Listen and answer.)

A7. axis,

B. Fill in the blanks with the most appropriate prepositions (前置詞) (8 pts.)

A9. radius,

5. The size of an atom is ( B7 ) the order ( B8 ) 10-10 m.
6. This approximation is consistent ( B9 ) thermodynamics.

A10. supernova.

A11-12. Two capacitors connected in ( A11 ) give a total capacitance that is thesum of the two capacitances, while two resistors connected in ( A12 ) give a
total resistance that is the sum of the two resistances.
A13-14. In nuclear ( A13 ), a nucleus is split into two or more lighter nuclei ofcomparable size. In nuclear ( A14 ), in contrast, two or more smaller nuclei
combine together, creating a larger, heavier nucleus.
A15-16. A measure of the smallness of random deviation from the mean valueis ( A15 ), while a measure of the smallness of systematic deviation from thetrue value is ( A16 ).

7. A peak of events corresponding ( B10 ) the Higgs boson was observed ( B11 )the energy range ( B12 ) 120 GeV and 130 GeV.
8. We use general relativity-based models, some ( B13 ) which include spin
precession.
9. It appears to be one of the few places in physics ( B14 ) which there is a rulethat can be stated very simply, but ( B15 ) which no one has found a simple
and easy explanation.
10. The energy released in the annihilation of electrons and positrons
temporarily slowed the rate ( B16 ) which the universe cooled.

A17-18. ( A17 ) is the number above the line in a fraction and ( A19 ) below theline in a fraction.
A19. If a system is in thermal ( A19 ), the net rate of exchange of heat between
its components is zero.
A20. ( A20 ) is the force opposing the sliding of one surface over another.
A21. Seven grams of the sample powder ( A21 ) precisely measured. [was/were]
A22. A number of methods ( A22 ) known to determine the speed of light. [is/are]A23. ( A23 ) with other theories, the Landau theory gives a much better
agreement with the experimental results. [Use “compare”.]
A24. The Higgs boson was the last ( A24 ) elementary particle predicted by theStandard Model of particle physics. [Use “remain”.]

1

C. Insert suitable articles (a, an, the, or Φ for no article). (9 pts.)（文頭大文字、空欄なら Φ）

E. Complete the following sentences to show how to read these equations.
Some answers may require more than one word. (7 pts.)∞

1. The weight of ( C1 ) molecule is ( C2 ) sum of the weights of all ( C3 ) atoms
that constitute ( C4 ) molecule.
2. ( C5 ) fine-structure constant α has ( C6 ) interesting physical interpretation.
3. One of ( C7 ) Maxwell's equations describes how both current and changing
electric fields can give rise to magnetic fields.

𝑛𝑛 𝑛𝑛𝑛𝑛! = ∫0 𝑥𝑥 𝑛𝑛 𝑒𝑒 −𝑥𝑥 𝑑𝑑𝑑𝑑 ~ √2𝜋𝜋𝜋𝜋 � � .
𝑒𝑒Stirling’s approximation states that n ( E1 ), which is equal to the ( E2 ) over x
from zero to ( E3 ) of x ( E4 ) n-th power times ( E5 ) of minus x, is approximately
equal to the ( E6 ) root of 2 pi n times the open ( E7 ) n over e close ( E7 ) ( E4 )n-th power.

4. ( C8 ) phenomenon of superconductivity is ( C9 ) remarkable example of( C10 ) quantum effects operating on ( C11 ) truly macroscopic scale.
5. Kepler’s three laws of ( C12 ) planetary motion, published around 1610, were

F. Complete the syllogism by providing a sentence [F1] within 30 words in( C13 ) results of his pioneering analysis of planetary observations, and laid

English. （三段論法の形を成すように、２番目の文 [F1] を英文 30 語以内で補え。）

the groundwork for ( C14 ) Newton’s great advances. ( C15 ) second law,(7 pts)

( C16 ) conservation of ( C17 ) areal velocity, is ( C18 ) general theorem forcentral force motion.

For just two protons to form a bound state in a nucleus, their spins need toparallel because of the spin dependence of the nuclear force. [F1] Therefore,
helium two (2He) nucleus, consisting of two protons, cannot exist.

D. Insert a colon (:) or a semicolon (;) to complete the sentences. (2 pts)
1. This technique has two clear advantages ( D1 ) the fast time response and theprecise phase matching.
2. The first peak corresponds to the Compton scattering ( D2 ) the second one
to the pair creation.
3. The uncertainty principle is expressed in the following form ( D3 ) 𝛥𝛥𝛥𝛥𝛥𝛥𝛥𝛥 ≥ ℏ.

4. The results are interesting ( D4 ) however, the interpretation is rathermisleading.

2G. Answer the following questions [G1] to [G10]. (28 pts.)
A Unique Pair of Triangles— Proof of a Simple Theorem Using Abstract Modern Mathematics —Two graduate students at Keio University have proven a new theorem thatstates there is only one pair (up to similitude*) of a right triangle [G1] and an
isosceles triangle [G2] for which the lengths of all its sides are integers andwhich have the same perimeter* and the same area.
The [G3] of, of, and, areas, lines, figures, lengths are basic geometricalquantities that are indispensable when measuring everything around us. For
example, a familiar figure from textbooks is a right triangle with sides oflengths 3, 4, and 5. Moreover, an important question that has been studied
since the time of ancient Greece is how many right triangles there are [G4]Questions:G1 and G2: Complete simple definitions of these tringles. (6 pts)
G3. Complete the sentence by rearranging all the underlined words into [G3].
(3 pts)G4. Complete the sentence by rearranging all the underlined words into [G4].
(3 pts)G5-G6. Fill in the most appropriate integers. (6 pts)
G7-G8. What are the perimeter and area of each of these triangles? (4 pts)
G9-G10. Give schematic drawings of these triangles. (6 pts)
Adopted from the following article and the press-release material from Keio
University:Y. Hirakawa and H. Matsumura, J. Number Theory 19 (2019) 297–302.
https://www.keio.ac.jp/en/press-releases/2018/Oct/15/49-48827/

which, sides, lengths, the, all, for, of are integers. One field of modern
mathematics which has greatly developed in the twentieth century under theinfluence of this tradition is arithmetic geometry.

Continue to H next page.

The unique pair consists of the right triangle with sides of lengths (377, 352,[G5]) and the isosceles triangle with sides of lengths (366, [G6], 132). They
proved this theorem by applying the "theory of p-adic Abelian integrals" and"descent of rational points" in arithmetic geometry. It is rare that highly
abstract modern mathematics has applications to such familiar objects.
* similitude: of a similar shape.
* perimeter: the whole length of the border around an area or shape.

3

H. The heat capacity of solid argon is shown in the figure below. Answer theEND

following questions in English. (12 pts)
H1. Where should one place the figure caption (説明文), ABOVE or BELOW thefigure?
H2. Make a figure caption in the style of a scientific paper within 50 words. Let
us call this figure as “Figure 2”. After the title of the figure in the caption, add
two sentences to describe the figure.
下の図は、固体アルゴンの低温での熱容量を温度の 3 乗に対してプロットしたものである。この図の caption を論文の様式に従って 50 words 以内の英語で作れ。ただし、図の番号は｢図 2｣とし、図のタイトルに続いて、以下の内容を説明する二つの文を加えよ。
「この温度領域ではデバイ (Debye) の T 3 の法則 (law) が極めてよく成り立っている。直線の傾き (slope) からデバイ温度 92.0 K が得られる。」

C. Kittel, Introduction to Solid State Physics, 8th ed. (Wiley, New York, 2004) Chap.5.

4Final ― English for Physics －July23, 2019Score
( /100)Name:
氏名：ID number: 29-Subtotal
A-F (60),A1A14B1B9A2A15B2B10A3A4A16B3B11A5A6A17B4B12A7A18

B5B13

A8A19B6B14A9A20B7

B15

A10A21B8B16A11A22

A12A23A13A24A (22)B (8)C1C7C13

D1E1C2C8C14

D2

E2C3C9C15

D3E3C4C10C16

D4E4C5C11C17E5C6C12C18E6E7C (9)

D (2)

E (7)

F1F (7)

Final ― English for Physics －July 23, 2019

Sub-total
G-H (40)

Name:
氏名：ID number: 29-

G1

A right triangle is a triangle for which …

G2

An isosceles tringle is a triangle for which …

6G3

3

G4

3

G5,

G5

G6

6

G7: perimeter

G8: area

6G6
G7,
G8
G9,Example

G9 (the right triangle)

G10 (the isosceles triangle) 4

G10250

250

‖

250

G(28)

H12

H2

10H(12)