NATURAL PHILOSOPHY.-PART II.

SECOND PAPER.

The Board of Examiners.

1. Explain the term Hodograph.

Show that the hodograph of the earth's motion round the sun is a circle.

2. A piece of glass weighs in vacuo 34.955 grammes, in water at 4°C. 19.549 grammes, and in water at 98.7° C. 20 142 grammes. A cubic centimeter of water at 4°C. becomes 1.04218 cubic centimetres at 98.7° C. Find the coefficient of expansion of glass.

3. Determine the force of contraction that a bar will exert in cooling to in terms of Young's modulus, its coefficient of expansion, and its dimensions.

4. Determine the relation between the periods of similar vibrating bodies.

5. A rectangular magnet is 10 cm long, 2 cm broad, and weighs 78 grammes. If it be suspended by a torsionless thread so that the 10 × 2 faces are horizontal, and makes one double vibration in 20 seconds, calculate its magnetic moment, having given that the horizontal intensity of the earth's magnetism is 0.23.

6. A battery is joined up in circuit with a resistance p, and a galvanometer whose resistance is G, a shunt of resistance S being placed across the

battery terminals. On diminishing the shunt to S, and increasing the included resistance from p to p', the deflection of the galvanometer is unaltered. Prove that the internal resistance of the battery is expressed by

7. Give the theory of the ballistic galvanometer. How may it be used to prove the laws of electro-magnetic induction?

8. Describe the construction of an alternate current transformer, and explain its use.

NATURAL PHILOSOPHY.-PART II.

PRACTICAL EXAMINATION.

The Board of Examiners.

Candidates may be set any THREE of the following experiments.

1. Determine the number of candle-hours you can get per pound of kerosene when it is burned regularly in the given lamp.

2. Find the radii of curvature of the surfaces of the given lens: measure its focal length and calculate the refractive index of its material.

3. Determine Young's modulus for the given specimen of brass wire.

4. Find by the tonometer the pitch of the given tuning fork.

5. Determine the coefficient of expansion of mercury. 6. Determine approximately the value of H.

7. Calculate the constant of the given Helmholtz galvanometer, and determine by its assistance the mean radius of the given coil.

8. Determine the specific resistance of German silver.

9. Determine the electro-chemical equivalent of Hydrogen.

ANCIENT HISTORY.

SECOND PAPer.

The Board of Examiners.

Answer fully and clearly TEN, and only Ten, of the following questions.

1. What was an Amphictyony? Examine the influence of amphictyonic institutions upon the development of Hellenic society.

2. Discuss the functions of the Athenian Boule.

3. Give some account of the state of society at Athens immediately before the legislation of Solon.

4. Give some account of Roman legislation as to finance, and contrast Athenian legislation on the same subject.

5. "Rome now for the first time buckled on her harness to play her part in dealing with the Eternal question."-Freeman, Chief Periods, p. 47.

(a) What event is referred to ?

(b) What is the Eternal question?

6. Consider the general policy of Republican Rome towards the provinces. Notice any exceptions.

7. Discuss the position of the elder Scipio and the elder Cato respectively, in the political history of Rome.

8. What was the "new Hellenism"? How did it influence (a) the religion, (b) the politics, (c) the literature of Rome?

9. Trace the chief phases in the public life of Pompeius.

10. "Here, after the tide of Roman sway over the world has attained its height, the ebb sets in."Mommsen, Provinces, i. 59.

To what does this extract refer?

11. Who was Shakspeare's Cymbeline?

12. What was the Jewish Diaspora ?

13. Explain the statement that Hadrian created both

a new Athens and a new Hellas.

14. "If the Sultan of Rome ever dreamed that the Eastern Rome itself was to be his, his dream was of the kind which comes from the gate of ivory." Freeman, Chief Periods, p. 166. Explain this passage.

HISTORY OF THE BRITISH EMPIRE.-PART I.

SECOND PAPER.

The Board of Examiners.

Answer fully and clearly TEN, and only Ten, of the following questions.

1. What effects had the migration to Britain on the system described in the Germania ?

2. Trace briefly the history of the Military Tenures.

3. Discuss the policy of William the Conqueror towards the Church.

4. Trace the history of the Navy in medieval times.

5. Trace the history of Trial by Jury.

6. Trace briefly the history of Taxation, direct and indirect.

". Taking the king and the estates as the factors of the constitution, explain the various relations among those factors during the middle ages.