4. Give an account of the experiments by which the temperature of maximum density of water has been arrived at.

5. Describe the weight thermometer, and obtain a formula for determining the temperature from its indications. Shew how it may be applied to determine the cubical expansion of a piece of

iron wire.

6. Give a concise account of the principal phenomena of terrestrial magnetism; and shew generally why they cannot be accounted for on the assumption that the Earth acts like a uniformly magnetized mass.

7. Describe the silver voltameter and its mode of employment to measure an electric current. Determine the electro-chemical equivalent of silver from the following data:

The current is passed for an hour through a silver voltameter and a tangent galvanometer of 263 centim radius containing 10 turns of wire: the deflection of the galvanometer is 45°, and the weight of silver deposited is 0.403 grain: H being 0.235.

8. Describe fully the construction and use of the Ruhmkorff Induction Coil, stating clearly the principles on which the modes of action of the various parts depend.

M

NATURAL PHILOSOPHY.—PART II.

The Board of Examiners.

1. Shew how from the diagram of displacements for two points in relative motion the diagram of velocities may be deduced.

What is a vector? Describe the method of adding vectors, and apply it to prove the law of the composition of forces.

2. Enunciate the Principle of the Conservation of Energy, and apply it to determine the time of swing of a simple pendulum.

Describe in general terms the principles on which the employment of Kater's pendulum is based.

3. State and prove Bernouilli's Theorem connecting the pressure and velocity of a liquid flowing in a continuous pipe; and point out clearly the assumptions made.

Explain the principle of the Jet Pump (Velocity Filter Pump).

4. Describe Regnault's method of measuring the pressure of a vapour in contact with its own liquid. Give some account of Ramsay and Young's investigations into the relation between the vapour pressures of different liquids.

5. Give an account of Dulong and Petit's investigation of the Law of Cooling.

6. How has the identification of heat as a form of energy been effected? Describe Joule's experiments bearing on this subject.

7. Give the investigation on which Maxwell bases his theory as to the distribution of energy in the dielectric medium; and state any further evidence respecting the validity of this theory.

8. Describe fully the construction and mode of action of the Wimshurst electrical machine.

What is a Regenerator? Show how the regenerative principle may be applied to increase the efficiency of the Influence machine.

9. Describe the construction and mode of employment of the Gramme dynamo. Why are the brushes placed nearly at right angles to the direction of the lines of force?

1. "

ANCIENT HISTORY.

The Board of Examiners.

ὣς ἀπόλοιτο καὶ ἄλλος ὅτις τοιαῦτά

γε φέροι.”

At what time and under what circumstances was this verse publicly quoted by a Roman statesman?

2. In what year and under what circumstances does Republican Rome appear to have been for the second time captured?

3. What permanent effects on the political supremacy of the city does Dr. Mommsen trace to Caesar's great building operations at Rome?

4. Shew how for the century preceding the Empire the course of events had pointed to the necessity of monarchical institutions to preserve society in Rome.

5. Dean Merivale holds that in the Roman State the institution of slavery was an element of unity and of strength. For what reasons?

6. What were 66 the three Gauls"?

7. "What was undertaken by Mithradates in Asia Minor, by Vercingetorix among the Celts of the continent, by Civilis among the subject Germans, was attempted among the insular Celts by a woman.". -Mommsen's Provinces, i. 179.

Explain fully.

8. What is Dr. Mommsen's criticism of Tacitus' narrative of the conduct of the war in Britain?

9. To what extent had Spain become Romanised in the time of Augustus?

10. Trace the steps by which the Roman State gradually became Germanised.

11. "Greece remained desolate for all time to come." -Mommsen's Provinces, i. 268. Explain this statement.

12. Discuss the growth of tenant-right and its results among the non-communal portion of the inferior population of early Europe.

HISTORY OF THE BRITISH EMPIRE.-PArt I. The Board of Examiners.

1. Trace the steps by which the hereditary character of the English Crown became established.

2. What, according to Hallam, is the threefold meaning of the Curia Regis?

3. What essential principles of English government were established by Parliament during the reign of Edward the Third, and by what means?

4. Lord Bacon claims for Henry the Seventh that "his times for good commonwealth laws did excel, so as he may justly be celebrated for the best lawgiver to this nation after King Edward the First." What statutes would you adduce to prove this statement?

5. Mr. Brewer says of the Parliament of 1523 that its history is more than usually interesting. For what reasons?

6. Why, in later times, has it been difficult to realise the true position of a Tudor sovereign in the sixteenth century?

7. Shew that the splendour of Henry the Eighth's reign departed with Cardinal Wolsey.