PHYSICS II. B.

FOR STUDENTS IN SCIENCE AND IN MECHANICAL AND ELECTRICAL ENGINEERING.

1. Find an expression for the energy associated with a charged system. A cable, whose capacity is 9× 105 electrostatic units, has a difference of potential between its core and sheath of 10,000 volts; it completely discharges in 1/100,000 sec.; find the average horse-power of the discharge. The electrostatic unit of capacity in terms of the electromagnetic is 1/2 and 1 horse-power equal 746

watts.

2. Find an expression for the magnetic force at a point on the axis of a circular coil carrying a current. Give the definition of unit current on the electromagnetic system and of unit magnetic pole on the electrostatic system.

3. Show by an investigation of some special case the effect of an air gap on the induction in a magnetic circuit.

4. Show how the rule may be derived that the current flowing clockwise round a closed circuit is proportional to the rate of diminution of the number of lines linked with the circuit. From this statement and the rule for the direction of the force on a current in a magnetic field, deduce Lenz's law for some particular case.

5. Give the definitions, in connection with air circuits, of the inductance of a coil and of the coefficient of mutual induction of two coils. Compare the phenomena which occur from the moment of closing the circuit, with a coil having resistance and inductance when, connected, firstly, to a source of constant e.m.f., and, secondly, to a source of alternating e.m.f., giving an analytical statement where possible.

CHEMISTRY III. A.-(INORGANIC.)

1. Describe the properties of ozone and hydrogen peroxide. How are they prepared? Under what conditions do they occur in nature? How can their presence be detected, and what substances present in the air are likely to interfere with their tests?

2. Describe the structure of the flames of a candle, bunsen, the inner and outer blow pipe flames, with sketches and the uses of the various parts of the flame. Upon what does the luminosity of flame depend? Describe experiments to illustrate your answer.

3. State briefly what you know about the radio-active elements. 4. What do you understand by the term chemical equilibrium, and what are the conditions affecting it?

5. Briefly describe the six systems of crystals. Upon what ground was the law of isomorphism formulated? How is the law of isomorphism applied in the correction of atomic weights?

6. How do As, Sb and Bi occur in nature? How are they extracted? Compare their properties. What are their principal compounds with H, CI, O and with H and O?

CHEMISTRY III. B.-(CARBON COMPOUNDS.)

1. Describe the processes used for separating organic substances into their proximate constituents, i.e., by solution, crystallization, distillation, &c.

2. How are the molecular weights of substances determined or controlled in the cases of basic, acid and neutral substances? 3. Give an account of the acetylene series of hydro-carbons. 4. Compare the properties and principal reactions of the aldehydes and ketones. What are the Hydroximes, Hydra

zones and Cyanohydrins?

5. How are the alkyl compounds of P and As related to the amines and to the alkyl ammonium bases?

6. Explain the constitution of benzene and the isomerism of benzene derivatives.

7. Give a brief account of naphthalene, as to (a) its sources, preparation, and properties, (b) its constitution as shown by its NO2, COOH, NH, and similar derivatives.

How is artificial indigo prepared ?

8. How are pyridine, conine, quinoline and quinine related?

CHEMISTRY III. C.-HISTORY AND PHILOSOPHY.

1. What was the phlogistic theory? Trace its development, mentioning its principal supporters.

Show how the discoveries of Priestley and others enabled Lavoisier to explain the phenomena of combustion and overthrow the phlogistic theory.

2. Trace the development of the doctrine of chemical proportion (Richter) to Dalton's atomic theory.

3. Give an account of the work of Berzelius. How does his electro-chemical theory compare with modern views? 4. Show how the valency of carbon and other elements came to be recognised through the work of Frankland (organometallic compounds), Kolbe, Kekulé and others.

5. Give an account of some of the more important synthetic organic compounds (other than alizarine and indigo) discovered within recent years.

6. What is known as to the assimilation of carbon by plants, and the nitrification of soils? What explanations have been given of the process of fermentation? What are enzymes, and how are they supposed to act?

GEOLOGY II. A.-(BOTH SECTIONS.)

1. Describe the Barrier Reef of Australia, and account for its origin. Discuss the relation of the Barrier Reef to the general geological structure of adjacent regions.

2. Discuss the sequence of different types of eruptive rock in Tasmania, explaining the bearing of the evidence upon the general problem of differentiation of rock magmas. Quote any other Australasian examples of magma differentiation.

3. Explain and illustrate with sketches how the Lower Marine Series and the Greta Coal Measures of New South Wales may be correlated with other Permo-Carboniferous formations in Australia, or elsewhere.

4. What evidence as to the past geography of Australasia and Antarctica is supplied by the present distribution of animals and plants in the Southern Hemisphere?

5. What is the meaning and what are the causes of persistent geological horizons ? Of what use are they in Field Mapping? Give examples.

6. What are the chief geological units respectively in New South Wales and in South Australia? Compare the geological

structure of New South Wales with that of South Australia.

7. What is known about the Geology of Northern Territory? Illustrate your answer with a sketch map and sections.

GEOLOGY III. B.-PALEONTOLOGY.

Six (6) questions only to be attempted, but 6 and 7 must be included.
All answers to be fully illustrated.

1. Give a general account of the hinge structures developed in the Pelecypoda, and describe the mechanism of the hinge. Illustrate your answer with sketches of typical genera.

2. Give a general account of the hard structures developed in the Nautiloidea. Describe briefly five of the principal Palæozoic genera.

3. Explain in detail the structure of the test in the Trilobita, laying special stress on the variations in the cephalon. 4. Give a summary of the Invertebrate fauna of the Permocarboniferous.

Draw attention to fossils of particular stratigraphical value. 5. Give a general account of the Dibranchiate Cephalopoda. 6. What are the following fossils? Draw attention to any peculiarities of structure, giving the geological range in each case:

Tribrachiocrinus, Agnostus, Fusulina, Maccoyella, Crioceras,
Oenonites, Trachypora, Platyceras, Syringothyris,

Euomphalus.

7. Define the following terms, and state in what connection they are used. Quote examples:

Prodissoconch, Resilium, Paterina stage, Chilidium, Lancet plate, Callus, Acanthopore, Siphuncle, Operculum, Columella.

GEOLOGY III. C.-(MINERALOGICAL.)-CRYSTALLOGRAPHY. 1. Show how to obtain an expression for a zone axis, having given the Millerian indices of two faces in a zone.

What relation must hold between a face symbol and a zone symbol in order that the zone may pass through the face? 2. Compare the advantages and disadvantages of one circle and two circie goniometers. Describe the operation of adjusting and measuring a crystal on a two circle goniometer when there is no face at right angles to the principal zone, but the latter is well developed.

3. Describe the symmetry of the various groups (classes) possible in the Tetragonal system. Make use of the stereographic projection to illustrate your answer.

4. Show how to obtain a set of clinographic monoclinic axes for crystal drawing.

5. Determine graphically the crystallographic elements of realgar from the following data:

6. Determine by calculation the missing symbols in the above table.

DESCRIPTIVE MINERALOGY.

1. Describe the phenomena of isomorphism and polymorphism amongst minerals. Arrange the following minerals in isomorphous and polymorphous groups, give the group composition and the chief points of resemblance in each set-Calcite, pyrargyrite, rutile, chromite, witherite, polianite, dolomite, brookite, proustite, rhodochrosite, rutile, spinel, aragonite, anatase, strontianite, magnetite.