1980-03-01 — Page 24

Prool:

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日一月三年〇八九一层公年九十六國民豪中

PIL AB; PX 1 BC;

PKLDC; PYLÁD (Given)

.. LAHIP.

EX

[PYA

90*

1.6. LASIP

[PYA

1800

¿CAO

13

LBAO

=

720

36°

育教儒蓮 買四第張六第 日四十月正年申庚辰系

1980

WAH KIU YAT PO

報日僑華

六期星

Figure 3

Mathematics (21)

(13(a)

C. Y. Man

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rejiskomen.

Jinternal

resistance.

Solution to Exercise 9

3

Section 3

物理

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Physics (21)

W. K. Lo

Mill & Dale Press Ltd

1. Two parallel metal plates

P and 0, 10mm apart, are connected to the opposite terminals of a 200volt power supply as shown in figure 1.

What reading would be

observed in the ammeter å when

(i) K, is closed,

(ii) both K, and Ko are

closed.

(b) If now the bulbs are

connected as shown in figure 4,

Figure 4

A

*

Figure 1

11. Given: AT is tangent of

the circle,

To prove:

DC is bisector of AB, CG LATA:

(a) AC is the bisector of

LEAG

(b) CE - CG

Proof; (a)

DC is bisector of AB

(Given)

.. CA CB

(bisector locus)

DC 10-sin36' 5.878 cm

AD

i.e. radius of the

hemisphere is 5.878cm.

(b) 40 - 10.c0836"

8.09 cm

.. Volume of the cone

E

- *(5.878)*

* 8.09

292.7 cu.cn,

Volume of the homisphere

—

(5.878)3

x 1

425.4 cu.cn.

.. Volume of the solid

Compare their brightness,

AC

K

k

EB (equal chords)

Figure 5

14(a)

[CDA =

[BAC

and

(equal arcs)

[CDA -

CAG

(in alt seg)

292.7 + 425.4

- 718.1 cu.cn.

4a+b=2c - 0 3a-b+4c = 0

b

C

200

10

13-1

4

A, Y, P. 1 are concyclic

... PAI

7s in Rame segment) [PAR

M

7s in same segment)

Similarly,

P, K, C, X are concyclic.

LPCX {PKX

/s in same segment) [XXP LPYH

Similarly,

[KXP = [YMP

[KPX - LYPH

(3rd Z of A)

A® XPK, HPY

are similar, (Equiangular An)

(b) PX-P(corr sides,

similar Ås)

PHI PK - PX+PY

0

2001

The charge of an electron

is -1.6 x 10-19 and the

mass of an electron is

9.1 x 10-31,

kg.

(a) If an electrou leaves the

negative plate P, how much energy will it gain when it reaches the positive plate Q?

(b) What will be the maximum speed of the electron

if it leaves the negative plate with negligible speed?

(c) What is the force on the

electron when it is in the electric field between the two plates? (d) If a magnetic field is

applied as shown in figure 2.

xxx 4 Pigure 2

xxxxx

xx xx x

200

What will happen to the

electron when it is running from P to ų.

2(a) As shown in figure 3.

A. B and C are 3

similar bulbs and the

reading of the ammeter A is 0.3A

1980

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Economic & Public Affairs (21)

K.K. Wong & LT.Chan

Mill & Dale Fress Ltd.

THE GOVERNMENT OF H.K.

1. Describe the structures of

the Executive Council and the Legislative Council. Outline briefly their respective functions.

A. The Executive Council_

(1) Structure

The Executive Council, which is presided over by the Governor, consists of five ex-officio and nine nominatua members. Out of the nine nominated members, one is an official and eight are unofficial members. The five ex- officio members are the Commander British Forcea, the Chief Secretary, the Financial Secretary, the Attomey General and the Seorotary for Home Affairs. The Council usually meets once a week throughout the year.

(2) Functions -

The chief function of the Council is to advise the

72

422

R

(a) With the key K open, what value of R will balance the bridge? (b) The key K is now closed

and it is found that the value of R must be changed by 2a in order

*

to restore balance. Should be increased or decreased?

(c) What value does this

give for X?

4. A uranium nucleus of mass number 238 and atomic number 92 is changed to thorium by emitting alpha and beta particles. If the resulting nucleus has MARE number 230 and atomic

number 90, find the number

of alpha and beta particles emitted.

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Governor, who is required by The Royal Instructions to consult the Council on all

important policy matters

except in cases of extreme urgency only. If the

Governor decides to act

against the views of the

majority of the members, he

has to report his resons- for such action to the Secretary of State for Foreign and Commonwealth Affairs in England.

The Governor in Council, i.e., the Governor acting after receiving the advice of the Council, is the statutory authority for making regulations, orders and rules under a number of ordinances. The Governor in Council also considers appeals, petitions and objections under ordinances which confer such a statutory right of appeal. In addition, the Council wil. examine a Proposed legislation before it is introduced in the Legislative Council.

B. The Legislative Council

(1) Structure

The Legislative Council at present consists of four ex-officio members (the Chief Secretary,

the Financial Secretary, the Attorney General und the Secretary for Home Affairs), 17 nomineted officials, and 24 nominated unofficials. The Council is presided over by the Governor. Since the maximum potential mautorship

.*. BAC - CAG

i.e. AC is The bisector

of EAG.

(b) [CEA - [CGA 90° (Given)

12.

29

AC - AC (Common)

.*. AAECTMTM A AGC (A.A.S.)

CB1- CG

16cm

(corr sides = 46)

Let x cm be the width of the border. Area of photograph (16-2x)(12-2x)

Area of photograph in equal to area of border

*. 2(16-2x)(12-2x) =16x12

3844112x+8x2 - 192

2

8x-112x+192 = 0

2

x ̃-14x+24 - 0

(x-2)(x-12) - 0

* . 2 or 12 (rejected)

Length and breadth of the photograph are 12 cm and 8cm respectively.

of the Council ia 50 an (consisting of 29 official and 25 unofficial members), there is still room for expansion within the approved maximum whenever there is a need for such action.

All members, except the Governor and other ex- officio members, are appointed by the Queen Or the Governor with the instructions of the Secretary of State.

(2) Functions -

}

The basiq functions of the Legislative Council are the enactment of legislation and control over

,་

the usea of public funds. The Queen has the power to disallow laws passed by the Council and assented to by the Governor.

+

The Finance Committee of the Council (including the Chief Secretary, the Financial Secretary, the Director of Public Works an and all the unofficaial members of the Legislative Council) considera requesta for public expenditure and other matters concerning the supplementary prevision of funds.

2. Outline the composit.on of

the Urban Council.

What are the chief functions of the Uzban Council and tile Urban Services Department?

A. Composition of the Urban

Council

j

The Urbah Council Consists of 24 mer.cers with

Σ

=

•

i.e. a:b;c = -2:22:7

(b) Let

b

C

k

A

- -2k;

b * 22k;

с - 7k

2 22 22

2ab+bc-ca

122-484k2+196k

-88k +154kTM+14k

-276

K

*80***

·

- 3 ਲੰਨ

2

15. Given: ABCD is a cyclic

quad, PH LAB,

To prove:

PX LBC, PK J. DG, PYL AD.

(a) As XPK, HPY are similar (b) PH.PK - PX+PY

12 appointed by the Governor and 12 elected members. The term of office for both types members is four yeara, but

a member can be re-appointed or re-elected for further terms.

The chairman is elected by the Council and can be an appointed member, an elected member or any person who is net-a member, an elected

not a member but has agreed to accept election to such office. However, the vice- chairman is elected from among 24 members of the Council.

The Council receives the bulk of its revenue from rates and is therefore responsible for managing its own finances.

The Council meets in public once a month, but most of its business is decided by the Council's standing committee and the thirteen selected committues that meet about once a month.

B. Chief functions of the

Urban Council

The Urban Council's main functions are: public sanitation and cleansing) the Licensing and hygienic control of all food premises, offensive trades, batichousesp and laundries} and thu manage ent and control or markets, abattoirs, hawkers, Cemeterics, crelaTOLL and funerai parigure.

16(n)

13

\200 kave

From the figure, OT - 200km. Draw OP LTP where TP is the path of the typhoon, then OP is the nearest distancë from 0.

LOTP

671° - 45° 221

TP - 200.cos221° ku

- 184,8 km

Time taken where the typhoon will be nearest to the

Royal Observatory

184.8

B

hr - 18.48 hr

10

(b) op

200•sin22ja ko'

* 76.54 km

.'. At that time the

typhoon will be

76,54 km from the Royal Observatory,

Other duties include cultural services, outdoor. entertainment, public recreation and amenities,.

In addition to the above functions, an important part of the work of urban councillors is the operation of a ward system for dealing with complaints on a district basis, and two councillors are responsible for looking after each district. A great number of questions and complainta are handled in this method, either byį i councillors' dealing with matters themselves informally or by an approach to the government concerned or by discussing the matter formally in the Urban Council meetings.

C. Chief functions of the

Urban Services Department"

The Urban Services Department is responsible for carrying out the policies and decisions of Under the Urban Council. the Urban Council Ordinance, the director of the Department is the principal exocutive officer of the Council. It helps to provert d.seaseu and their spread by keeping the city 0ean. The Department underta..es the work for rubbish col vetion and disposal, control of pests and food inspection. It also ensures that public parks, beaches and swimming pools fulfill the sanitary requirements.