8. Determine the velocity of sound by resonance, and correct your result for temperature.

9. Determine the focal length of the given lens.

10. Determine the magnifying power of the given telescope.

11. Determine the candle power of the given lamp.

12. Determine the coefficient of expansion of the given solid.

13. Determine the specific heat of the given solid.

14. Compare the magnetic moments of the given magnets.

15. Calculate the constant of the given galvanometer.

16. Find the resistance of the given coil.

NATURAL PHILOSOPHY.-PART III.

The Board of Examiners.

1. Prove that the potential energy of a mass m, with respect to the earth at an infinite distance from it, ismgr, where r radius of the earth.

If we receive from the sun 27 calories per second on a square centimetre directly exposed, find what mass of meteors falling in a year from an infinite distance would supply this:

Gravity at sun's surface 28 g.

Radius of sun = 700,000 kilometres.

Distance from earth to sun = 148,000,000 kilometres.

2. Describe Forbes's method of determining the conductivity of a metal.

3. Prove the formula for the efficiency of a perfect engine.

Why is it that the efficiency of a good gasengine is greater than that of a steam-engine?

4. A given mass of a perfect gas is allowed to expand into a perfectly empty vessel; determine by how much its capability of doing work is diminished.

5. Find the distribution of electricity on a conducting sphere connected with the earth and under the influence of an external electrified point.

6. Describe the sliding condenser, and prove the expression for its change of capacity as the inner cylinder is moved through a given distance.

Describe fully how the capacity of such a condenser for any position of the movable cylinder is accurately determined.

7. Give an account of Rowland's investigation of the magnetic properties of iron.

8. Describe the construction and discuss the relative advantage of

(a) Ring and drum armatures.

(b) Open coil and closed coil armatures.

9. Describe a transmission diffraction grating, and how to use it to determine the wave length of sodium light.

Give the elementary theory of the grating.

10. A parallel beam of plane polarized light is passed through a solution of sugar and an ordinary prism, and examined through an analyzer. Describe the phenomena seen, and show how to make the experiment so as to determine the relation between the rotation of the plane of polarization and the wave length of the light.

NATURAL PHILOSOPHY.-PART III. AND B. Sc.

PRACTICAL EXAMINATION.

The Board of Examiners.

1. Determine the moment of inertia of the given system.

2. Determine, making all corrections, the volume of the given solid.

3. Find Young's modulus for the given substance.

4. Determine the refractive index of the given prism.

5. Determine the specific rotatory power of a solution of sugar.

6. Compare the capacities of the given condensers.

7. Compare the E.M.F's. of the given cells.

8. Find the Dip by means of Barrow's circle.

ANCIENT HISTORY.

PASS AND FIRST HONOUR PAPER.

The Board of Examiners.

Answer fully and clearly NINE, and only nine, of the following questions.

1. "There are, substantially, two leading opinions as to the origin of Rome." (Aryan Household, p. 328.) What are they?

2. Shew historically that the powers of the Tribunate rendered that office an influential one for promoting political agitation.

3. Shew how in Republican Rome the Italian cities were classified according to the degree of their autonomy.

4. "If government had resolved itself into a mere matter of business, never would any state have solved the problem more brilliantly than Carthage." (Mommsen, Rome i., 20.) "Discuss this

statement.

5. Criticise the reforms of Tiberius Gracchus viewed (a) in their moral, (b) in their political, aspects.

6. What were the political aims of the "populares," and what was Cæsar's attitude towards them?

7. Give a brief narrative of the campaigns of Trajan. 8. Who were the Antonines? In what respects do

you consider the period of their rule memorable?

9. What do you conceive to be the real meaning of the Union of Attica ascribed to Theseus?

10. Trace the means by which in the Grecian states kingship was abolished and an oligarchy took its place, and point out any exception to this change.

11. Describe the position and duties of the Archons at Athens. What circumstances contributed to reduce their importance?

12. What was the dispute between Athens and Megara respecting Salamis? How, and by whom, was the dispute decided, and why does the decision mark an important event in the history?

13. Estimate the work of Draco, Solon, and Cleisthenes, respectively, in forming the constitution of Athens.