there." Consider (1) the truth of this doctrine; (2) its bearing on the question of the ethical end.

8. Reproduce, with any comments, Spencer's theory of the Conciliation between Egoism and Altruism.

NATURAL PHILOSOPHY.-PART I.

Professor Andrew.

Candidates must not answer each of two alternative questions.

Candidates must shen some knowledge in each division of the paper and a satisfactory knowledge in two divisions.

DYNAMICS.

1. Define-Dyne, Poundal.

dynes in a poundal.

Find the number of

or 1. Describe fully an experiment shewing that at a place where the acceleration of gravity is numerically represented by 32, in terms of a foot and a second, a body will fall freely from rest through 16 feet in a second.

2. Describe the screw, and find the relation between the power and the weight. In verifying this relation experimentally, how are the effects of friction approximately eliminated?

or 2. Describe the conical pendulum. Shew that the bob moves with approximately uniform velocity, and explain how it may be used to determine the acceleration of gravity.

E

3. Describe an experiment for illustrating the second law of motion in the case of a body projected horizontally. How may the velocity of projection be determined?

or 3. Describe the safety-valve of a locomotive. If the diameter of the lower end of the conical plug be 2 inches, the pressure intensity of the steam 98 lbs. per square inch, the distance of the fulcrum from the pin 4 inches, and from the coiled spring 16 inches, find the stress of the spring, neglecting the pressure of the atmosphere.

4. Describe fully a method of directly determining the specific gravity of air relative to water, stating the precautions which have to be taken, and constructing an example to illustrate your

answer.

or 4. Describe an experiment illustrating the effect of motion on the pressure intensity of air, and give any practical application of the principle. From what other effect is this to be distinguished?

5. Describe the construction and use and explain the principle of the standard Mercurial Barometer. If the specific gravity of mercury is 13.5, and the "barometer reading" is 29.65 inches, find the pressure intensity of the atmosphere.

or 5. Describe the construction and explain the principle of any form of gauge for the air-pump. How is it used to determine the pressure intensity of the residual air in the receiver?

HEAT.

6. Find the equivalent on the Centigrade and the

Réaumur scales of the normal temperature of the human body, viz., 98-6 Fahr.

or 6. Describe the construction and explain the action of Six's Maximum and Minimum Thermometer.

7. Give the construction and explain the principle of any form of compensated pendulum.

or 7. What is meant by Conduction of Heat? Describe the Davy lamp, and an experiment which illustrates the principle involved.

8. Explain the occasional dimming of polished silver vessels in a room.

or 8. What is ebullition? Describe any experimental proof that the temperature of ebullition depends upon the pressure on the free surface of the liquid.

9. Describe an experiment which proves that heat is not a material substance, and state the first law of Thermodynamics.

or 9. What are the essential parts of a Heat Engine? Illustrate your answer by reference to a water engine, and point out where the analogy fails.

MAGNETISM AND ELECTRICITY.

10. Define the earth's magnetic elements at any place, and give, approximately, their present value at Melbourne.

or 10. What is the effect of the rapid magnetization and demagnetization of a soft iron bar? Give an experimental illustration with explanation.

11. Describe fully the construction and briefly the action of any form of electrical machine, and state its advantages and disadvantages.

or 11. Explain fully the construction and the action of lightning rods.

12. Describe the electrolysis of dilute H2SO4, and an experiment which shews that it is a reversible

process.

or 12. Explain the cause of "sparking" at the commutator of a dynamo, or when the circuit of a powerful current is broken.

13. Describe Arago's revolving plate, and a modification of his experiment with a fixed powerful electro-magnet. State the law which it illus

trates.

or 13. The "blue" end of a permanent bar magnet is thrust into a coil of insulated wire having a galvanometer in circuit. In what direction will the red end of the galvanometer needle be deflected? Give reasons for your answer.

NATURAL PHILOSOPHY.-PART II.

Professor Andrew.

Candidates must not answer each of two alternative questions.

Candidates must shen some knowledge in each division of the paper and a satisfactory knowledge in two divisions.

DYNAMICS.

1. Explain the nature of the force "friction." Describe a method of determining the coefficient of friction by a timed horizontal slide and the precautions to be observed in conducting the experiments. or 1. Determine the relation between the power and the weight in the wheel and axle when friction at the bearings is taken into account.

2. In graduating the University Attwood's Machine it was assumed that g = 32 (ft. sec.). In one experiment the total mass moved was 128. The moving force was the weight of mass 2, and a space of four divisions of the scale was described from rest in 2 seconds. What is the error in the position of the 16th division of the scale and the time taken to describe it?

or 2. Describe, with calculation, experimental methods of verifying the laws of stored energy. Illustrate your answer by reference to the University Dynamo Machine.

3. Find the relation between the angles of incidence and of reflection in the case of the oblique impact of two equal smooth spheres, the coefficient of restitution being e.

or 3. Define centre of mass, and find that of a uniform rod whose density at any point varies directly as the distance of that point from one

end.

4. Define centre of pressure, and find that of a vertical triangle with one angle in the surface of a heavy liquid and the opposite side horizontal.