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補助學校文憑盞物理卷三(物理)補助學文憑物理卷五(電磁學) 補助學校文憑(生物卷八(植物學
Post-Secondary Grant Colleges Joint Diplora Examination, 1962
Paper III
PHYSICS
Atqzio & Huclear Physics
20th June, 1962,
9:30a.m.-12:30 pomal
Answer 6 questions. 3 from Gection A and.3 Tram Secvioń13..
Section 2
Describe and-11lustrata.by-diagrams
(a) Paschen-Back effect
(b) Rabi'a magnetic resonance method)
(c) Michelson-Korley. Experiment
(a) Compton scattering .
(a) Associated production of strange particles (No diagram required}} 2:(s) Treat the hydrogen. atom problem oy the Eckr theory, Giving precise
statements of the hypotheses used. Calculate the energy levels and the quantised orbital radii.
(b) Formulate the same problem by means of wave medhanaos without
giving detailed solutions. Define all quantos numbers. What are the differences hétween these two treatments as rogarde energy. Levels, angular momenta and the physical ploture of the atom?
3. (a) Classify all nuolear interactions according to their strengtha.
State the criteria in distinguishing, among then. List all the conservation laws (or invariance principles), valid for each type i of interaction.
(b)'Give an example, for eson type of-interaction, involving -strange.
particl行为。
((a) Consider, a scattering-experiment in the laboratory as following: A particle with root mass and tota 1 energy E is inoident on a target particle of masa M, ériginally at rest. In the pollision, i in particles are produced, with Basses By、 Az* **** fig. Calculate!
the minimum anergy E for which the resetion can take place.
J
(b) A pion to scattered from a nuclean producing, a nucleon-- antinucleza)
patrascording to the following scheme:
T+N
2N+
Calculate the threshold energy for the reaction.
(pion rest energy 140 Hev. Huole on treat energy 940-Mev.)}
Section B
A. one dimensional particle of mass m and charge-e, originally bound by a simple. harnonia potential kxz. is perturbed by anraxtornal constant electric field. É in the x-direction. Solve the problem exactly by giving expressions for the energy levels and pave funotions for the particies. (Derivation of the solution is not j required.).
(b) Daing perturbation theory, calculate the energy shifts to the
firet nozvanishing order, and compare with (a).
Sche, following integrals involving hermite polynomials are givenij
Hu(x) Hm (x)" da = √7·2* n}·Sum
的
(Physics. Paper 111--- Page 27
2" (n+1)! √ for m ̈===++!!.
otherwise!
Į
1
Section B (oontinued)
-6. (a) Describe the phenoxenon of "black-body" radiation.
(b) Assuming that photons satisfy Bose-Einstein statistics, derive
the Flanok radiation low for the energy density of radiation in thermal equilibrium with matter at absolute temperature T.
Write down the transformation equations for the electria and the magnetis fieldo under à proper homogeneous. Lorents transformation Indicate without giving complete details of proof how these equations are obtained.
Show that if E and are perpendicular is one Lorentz frame--they are perpendicular in all Lorents frames,
3.(a) What do you understand by "space-like", "time-like" and "isotropia"]
four-vestors? How are they transforued under proper Lorentz transformations?
(b) Define the four-vector velocity and the four-acceleration,
Shor that the four-velocity is always time-like. and the four.
Acceleration. is always (space-like posejan
5.
$.
7.
橙、粥、戎、狄之
.Poal-decandor Grant. Colleges. Joint、Diplona Examination,1942
... PHYSICS
20th June, 1962.
9:30 am 12:30 pm.
Paper Blectricity & Magnetism
.
1. State in ventor form Ampere's law for magnetic flux density due to,
currents in empty space..
8.
by
Show that the force in nowtoes acting on length.of wire m carrying a current '1, amp due to a parallel infaracely: long wit carrying a current 12 amp. and at a distanco, rm. apart is, given j
whore - poradagilary of free spaoo #4710?weber/amy.m. Hence deduce the definition of the ampere in the; aku.system
An L CR oirauit, fz-shown below. Assume that the capacitor has been
fully charged and the key is moved to contact point 'a' at time t 04 Prove that is 2
心f the transient current is given by
=
Siwnt
where n = 1 (R),
Define the magnetic, monent of a. permanent magnet, and show that permanent magnet of moment.exsouting small vibrations in a unifora field of flux density B has a period given by
where 1 is the mosient"or": anertia of the vibrating system.
A magnot has magactic mouent C.132 amp. and its moment of inertia about the rotational axis is 3.55 x 10-6 Kg.m. If it basis period
of 5.4 sac. at a location where the dip angle is 310, what is the magnetic flux. density of the warta's field at this Location?
Describa in detail an experiment. to determine the magnetization curve of a ring specimen using a ballistio galvanometer.
Describe briefly the basic principles of Betatron. Show that for en accelerated electron to have a. stable oroit, the magnetic flux density at the orbit must be one, half that of the average, flux density through, the face of the orbit.
Darive Poisson's equation for an electrostatic field: Vy The electric potential function in empty space due to a point charge.q at the origin of a co-ordinate system is given by
+ y2+zm
where is the permittivity of empty space. Show that the potential: function aktiefies py...except at the orjaan.
Define (a) Class A dielectric, (b), polarization vector, and (c) electric susceptibility. A clasa A delogtrio of electric susceptibility fills the empty space between the plates of a parallel plate capacitor. Derive an expression for the electric field intensity in the dielectric and: the, capacitance of this capacitor. Aasume that the surface-density of conduction charges! on the plates is σ- the area of each; plate is A and the separation). between the plates is i. (Physics Paper: V ̧
一片,就說明「讓
!
-
Page:2}
Section B (continued)
Statu Faraday's law-of-induced -enf,
Show that the relationship between electric field-intensity set up. by changing magnetic flux É and the rate of change of the flux.
is given.by
J. E Isf.de
心
Identify this equation."
四、根據最近在
下殷王第二十五批 「殷垌發魂之史料考察
概述各派意見, 【今學者意見不一。
【田制之實質問總
?試區每
三、關於三代花
|新政治家之稱,菇 一甲八甲乃有維
*究其改革之事
?能列,面食開之活
|其趦於崩潰之原因, 六、東河歷史愷
對建之主要義,及 一五、試說明西內
|試扼要說明之。
各方面,皆全劇路 一、會、經濟及文藍 國時代,不論在政治
·七、由蓉狄亞戰
*艾露何?試分別說
所以分爲兩期之原因 劃分之標準何,或 日期 對家對此爾時期
間紙
GIGLI:
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夏日最後的玫瑰」,「別忘記我一
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VENGEANCE VALLE!
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Post-Secondary Grant Colleges Joint Diploua Examination, 1962 BIOLOGY
20th June, 1962. Paper 8 (Botany) for Minor Studente.
9.30 2.12.30 pasé
Answer FIVE questions only. Illustrate your answers with large olear, diagrams where appropriate.
l. · Discuss the evidenon for photolysis of water, during photosynthesis d
and point out the signifiöance of this reaction in the chemical. traneformation of. garbon-dioxide.
2.
3.
14.
15.
16.
17.
业
Write an essay on mutations.
A plant species & which_bas:7 chromosomes in its gametes was crossed with a related species. B which has 9. Hybrids were produced but they wers sterile, Microscopio. onservationa of the pollwn.mother calls of: the.F" ahowed to pairing of: chromosomess part ni the more vigorouslys growing portion of the hybrid was propagated vegetatively and, a fertile, plant.was produced with 32 chromosomes in. its somatic anus) Explain this phenomenon and state the behaviour of the chromosomes
at meiosis.
Describe the life history of either Plasmodiophore, brassicas or Manilinia fruticolai iudinate its importance as a plant pathogen and show how it is adapted to its particular.type. of parasities Give an illustrated comparative account of; oporangial development:5mi
eusporuagiate ́and leptosporangiate ferne,
7
Give a detailed, well illustrated account of the life history of Selaginella sp.
What are high energy phosphate bonds7 Discuss briefly those processes in plants that are concerned with energy transformation during respiration.
Give an illustrated account of the life history of any named
gymnosperm. Point out the salient differences between this plant and.a.typical angiosperm,
補助學校文憑猋生物卷二(植物學)
F
Past-Secondary Grant Collegeo Joine biploma. Examination, 1962
20th June, 1962. BIOLOGY
9.30 AM - 12.30 p.m."" Anser FIVE questions. Paper 11 (Botany) for Hajor Students. illustrate your answere with large clear diagrane whace appropriate.
Give a description of the process of perideen formation and of the types of calls that way be oroduced. Show now variations in this process influecos the formation of the type of bark starastaristis of different trees.
1
5
7.
8
i
i
Write brief notes on the onliest features of any four of the following families of flowering plants drawing attention to the extent to which they are repraserted in the local forat - Magnoliaceasi Labiatarī, Malvacese; Euphorbiacape, Caryophyllaceae; ResBucan; Lauroraði Compositae.
What do you understand by the term Biosystematics? Indtoate briefly son of the more important results of this approach to plant systematic Give a detailed, well illustrated account.of, the life history of Selaginella ap-
「說明之否?
Give an illustrated songarative, account.of.sporanglai cevolopment (kn}.
eusporangiate and leptosporangiate ferns.
What is the probable, chemical pathway of carbon in photosystes18 thecuse the experimental evidence in favour of the hypothese you, bave cutlioad,
Write an sanny on mutations.
A plant spécies A which hae 7 chromosomes in its gametes w9B.Co with a related species 8 which has 9. Rybride wars produced but chat, ware sterile. Miercesopis observations of the pollen mother eslls of
the Fshowed no pairing of chrona'sanea. Part of the sore vigorously
growing portion of the hybrid was propagated sagelatively and a fertile
plant was produced with 32 chrezesume in its sogatio celle. Explain this phenomenon and state tha, Behaviour of the chromosomes at
一代歌王:
可考。應從何代開始
吉格利
△冷糖(TOTEM
歷史:試卷四:
中國上古史,任作四
一、中國原始氏
試考憑文一統校上專
第張五
·然妆街讒門者如下:梁志超、梁度
將聖約塗溷恊讃徉題英及翻轉之體工况
奥酒皴嵑行駹宴慶祝。
、李榮麟、蔡縣、朱國坤、彭波、梁
、曹約翰、郭漢強、黃酒、烈李橋、楊衛
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度,将前年作一迨调獎後,從今由於過度下,
待整調友
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|||||||| 告廣合聯院影輪首九港 |FTTHUEIT
第二號立信大業用分座租用水
*式用診想
皇仁學生 家庭補習 徼舊鋼琴 三樓招租
洋樓出租
3372-374)