1972-12-27 — Page 23

REFERENCE LIBRARY

$27 DEC 1972

育救倭業頻三强六第日二廿月一十年子壬属复 WAH 1

1973英文中學會考試題預習專欄

KÄT PO

LITY HALL SUE

日七廿月二十年二七九一展公年一十六國民華中

《接第六張第二頁)

1973 中學入學試

1978

物理科

(十)

試題預習專欄

中文中斷會考試題預習專欄

智慧出版社生幫

-Thermometer

英文科

中國歷史科 (九)

̇楊楚瑋

ANSWERS TO PREVIOUS EXERCISES

SECTION A:

Physics (10);

Thermal expansion".A.

3.1. Linear expansion.

Most solids increase in length when they are heated. For example, a metre scale of brass made to be 100.00 cm. at 0°C will expand 1mm if heated to 50°C and measure. 100.10 cm. This corresponds to an increase of 0.002 cm. perdegree. Various substances do not expand equally when their temperatures are raised. But the increase in length, per unit length

in: temperature is given by the ratio

increase in Length

substance for one degree of the

original length x temperature

is called the coefficient of linear expansion of the substance, over the range of the temperature rise. If this range is not too great (say, less than 100°C), the coefficient may be taken as a constant. If 1 is the length of the material at temperature

O

and 1 is the length of the materi al when the temperature has been raised to then, from the defin- ition of

1.e. 1 =

1

(3.14

[1 + × (t-t.)] (3.2.)

Example 3.1.2

The original length of a brass rod is 50.2 cm at a temperature of 16.690. The rod is heated to 99.5°C and the increase in length of the rod is found to be 0.079 cm2 Calculate the coefficient of expansion of brass.

Sol, From (1)

0.079

50.2# (99,5 – 16.6)

50.2 x 82.

.079

0.000019/C

2. Superficial and Cubical

expansion".

With solids, it is sometimes desirable to discuss changes in area and in volume, and there s corresponding coefficients of superficial expansion, and cubical expansion. Consider a square of side 1 at temperature

The square is heated to a temperature t. The area of the square at temperature t is A2 =

At temperature area of square becomes. A

1+2 (t-to) 2(t-t)2

A lo

Ο

The material whose coefficient of linear expansion is required is made in the form of a hollow tube M with 3 openings. The middle one is inserted with a thermometer to read the temperature inside the tube M. A is a stean inlet and B is the steam outlet. The length of the tube at the room temperat- ure is firstly measured as 1 The spherometer S is then screwed against the tube and the reading is taken as 5. The tube is then heated by passing steam through the tube. When the thermometer: registers a constant temperature t, a steady state is set up. The spherometer is readjusted to read the new reading S. Then the expansion of the tube is given by

527 From the difinition of write

α

S

O

We can

Hence can be determined. The method described above gives the value of with some uncert- ainties, this is mainly due to- the error in taking the readings from the spherometer and the error due to non-iniform heating of the tube, An accurate measurement of

can be achieved by means of the comparator which is an instrument consisting of microscopes rigid- ly attached to a steel framework. The detail of the experiment is beyond the scope and the interest- ed reader can consult any advanced level text book in heat.

3.4. Application of linear expan- sion of solids.

3.4.1. A bimetallic strip consists of 2 metallic strips joined face- to-face by reveting or other means The 2 metals have different co- efficients of linear expansion, one being greater than the other. When the strip is heated, the upper strip which expands faster

than the lower one, exerts a force along the length of the strip (i.e. a longitudinal force) The result of this force causes the strip to cure upward as shown in the figure 3.4.2. This change in cruvature can be put to service in many ways,

(a) It is used in chronometers to alter a constraint on the balance- spring in such a way as to offset the tendency to run slow in hot weather.

Bimetallic str (Fiɛ, 3.4.1)

Bimetallic si

when heated

(Fig. 3.4.2)

SECTION B: II.

that he was going

·tó: tea,

2. that his house had

won the race.

3. if he was hungry. 4. if she might go out.

5. 14, she could come to

his house that night

that they must finish

their work before dinner.

that he hadn't seen

Lucy since that summer.

not to play on the grass.

to forgive her.

to run to the thief.

The butcher asked

Mrs. Wong what he could

do for her that day.

12. The

man shouted to”-Ist them go.

13. He exclaimed how lovely

the puppy way,

14. The poor woman sold the

police that her hut was burnt down. ·

The man said, that a little.

boy had knocked down by the bus.

SECTION

(multiple choice):

Choose the best answer.

across the correct bor, Exp. He is

boy in our class. (A. dirty B. dirtier:

C... more. dirty: D. the dirtiest E. most dirt)'

dress is

as hers.

(À. pretty, B. prettier

C. more pretty D. pretties the I. the prettisst)

Uncle Harry is

father,

A B C D E

□□□□□

than my

C. the

so old B. older, oldest, D. nore older 3. most oldest)

This is

MABC D

(二)均田制:北魏孝文帝用李世安之乖,行對田制,其制理如

F:

(1) 鄰田:男子十五以上,露田四十年,女于诚宇。 如屬二面制之田(即隔年輪更之田),另于授田六 干畝,女子四十蚀。三年餘鯡之田,則男于授田 百二十畝,女子六士畝。死後將田的激國家。

2) 桑田:鹚于按柔田二十畝,桑田每畝

桑樹五 米兔,推頓五株,撥樹三棟。個緩地不宜都桑範

(划男干授麻田咩做,太子牛。桑田餘私有,不 用深

(3)推望:领三口授宅田一敬,你需印刷之用,但必須

五分之一以作榮園。

(4) 奴婢尔揆由,丁牛一頭,田三千趣,其四牛憫限

(5) 马税局:每戶每年繳納布一四,累得石。这种只

HRALAZ-TERVENNAI

武洋江北魏孝文帝湿惜之原因及英化之情形,對北有何影響? 答:北硖羊女帝灈都之原因有三:

THECAE: ZEMEHIKERS » BRAKE » 1970M

,曾將不能度戶分抵達州,定州,相对就食。到孝文帝 時,人口大婚,国使在為中,仍須用牛到關中洲開機.

文帝們帶:「除以恆,作無駕濟之路,故京邑民餐, 今不沝伊洛,飲趣力。一個認與北,還都求味

2.利絕加强液化:孝文帝永概艇統自命,洛現爲消夏文化, 中心,提洛限制可加强英化。孝文帝合謂:「只餘下子 何假中原。符合了于你,休息多例,若永居确北,過不 EXITYTHEME J

永彬期泡:活然夠在然外甘無誤響。大和三年,柔然主 今發兵三十萬,寬午城七百,北貌不敢照戰,

新山深啡·其後,在牌族艾興起,溫柔然,經 次望,成啭不域。北鴻不然,不能

北魏孝文帝消化,有下列施:

2深長路過北颜的干城太和十八年(公元四九四年)

永孝文帝口伐魏,大舉南下,最後定都洛陽。

(二)禁胡服胡語:孝文帝患完全體察民,均谢湖人大體六麸岸: 胡眼。又規定凡三十歲以下之中人,不說胡器,違者 免職。

CHOWELLMATER

四、涉性琛:確率娃德漢姓,李文帝將拓拔玩笃元正。 (五)庭規定是洛陽之鮮卑人,死後賴於務除,不准簡

北魏孝文賓與化銀的之影赛,使解人生活文化小鹅大纲提高 但鮮用人失去操保之民國,全之從的鲜卑人以當兵篇光荣之 今則興凱犯同一身份,若感不滿。當時我蘭與會說:「沿路

之府,以底。年以來,有同轮变,號曰府戶,從同𨸢釐 ,不如死腐,攷失湾流,而本宗笛發,各各榮顯,彼此、理 情深............改紐銀州,分確認縣,凡是帶戶,然免熾民,入

一准其鬱。」但李次帝不予理會,不蹤成之服,北魏

B乙級(問答

還請代之趨毀。

请代理亡之原因何在?'

唐強視能削不羅娘,統一四海之原因同在!

street

The lazy boy was

school.

4. To run across a bui

is full of danger.

Mrs. Brown is a woman who

nks only of herself.

heard.

(1 interesting

story I have ever

B. more interesting

the most

Ce most interesting interesting B. the more interesting)

A B C D

all the soldiers here, Tom is

(A. brave bravest

E. braver th

braver C. the

as brave as

BCDE

ᄆᄆᄆᄆᄆ

When my teacher came.

mother was not in

The old beggar is a person

who can't see.

This sun is not difficult.

Such a broken oup la

10. The desks in our sahool are made of TOOR.

III. Fill in each blank with One of

given words. closely

bitterly kindly

David

equally

quite

politely

This film is

the

badly usually

goes to school on foot.)

exciting.!!

The policeman is watching the thier

NOW is a very small quantity and provided that the rise in temperature t-t is not great. (less than 1--°C), the term

2(t-t.)2 can be neglected. then we get A = A. [ 1 + 2α (t=t_) and from the definition of super- ficial expansion, which is such that

Juurease in area

original area x temperature rise,

we can identify p = 20

In a similar way, the coefficient of cubical expansion,, is found be related to the coefficient of linear expansion,.

by y = 3d

The derivation is left to the reader as an exercise.

3.3. Measurement of the coeffios ient of linear expansion.

(Fig.

(A. very dear

'I know well

Balance spring

the dearest

This new car is

B. dear

E. too dear).

A B C D

for me to buy

C. deare

You should speak

to your te

what you mean.]

among

Me?

A balance wheel is shown in fig 3.4.3: The rim of the wheel is divided and each part is a bimet- allic strip with the material of greater coefficient of expansion on the outside.

The rim also carries adjustable.*

screws. When the temperature rises

朱宗轉入第六張第三頁)

00000

DECATTON B

II. Write one word instead of the words

underlined.

1. He is a well-known write.

Sheep "are, nDOË

6. They divided the sweets

themselves.

7. Would you

This hole is

can't go through.

small that the ost

9. Susan was sad and began to ory

10. That poor widow needs the money