Describe how to use it to show the effect of coupling up cells in different ways on the E.M.F. of the battery.

8. Describe fully how to determine the electro-chemical equivalent of copper.

NATURAL PHILOSOPHY.-PART II.

SECOND PAPER.

The Board of Examiners.

1. Account on the principles of the molecular theory for the existence of a contractile stress in the common boundary of two media.

What conditions render the magnitude of intermolecular pressure in a liquid inaccessible to experiment?

2. Calculate the density of a solid at 0° C. from the following data:

Apparent weight in air 25 000 grammes.
Apparent weight in water at 15° C. 21.875

grammes.

Density of water at 15° C. = 0.999125.

Density of air (approx.) = 0·0013.

Density of weights 8.4.

Coefficient of expansion of solid = .000018.

3. Obtain the equation which represents the resultant vibration of two equi-periodic rectangular harmonic vibrations which differ in phase.

Give a geometrical method of determining the resultant of any two rectangular harmonic vibrations.

Describe how these resultant curves can be exhibited experimentally.

4. An achromatic lens of focal length Fis to be constructed of two thin lenses in contact, the common surface being plane. Show that the radii of curvature of the curved surfaces are given by the equations

where

and are the dispersive powers, μ and the mean coefficients of refraction of the media.

5. State the theorem of the equivalence of the magnetic fields produced by a current in a plane closed circuit and by a certain magnet, and describe how it can be experimentally proved.

6. Describe the construction of the Helmholtz Tangent Galvanometer, and obtain the value of the constant for it in terms of the dimensions, &c., the coils. Point out the special advantages of this form of galvanometer.

of

7. Describe how to determine accurately the angle of dip, and give reasons for each step.

NATURAL PHILOSOPHY.-PART II.

PRACTICAL EXAMINATION.

The Board of Examiners.

1. Determine the graduation errors of the given glass scale.

2. Find the density of the given solid at 0° C., making all corrections.

3. Determine the relation between the rate of cooling in air of a hot body and the excess of its temperature above that of its surroundings.

4. Find the coefficient of cubical expansion of glass. 5. Find Poisson's ratio for the given substance.

6. Determine the pitch of the given fork by the

tonometer.

7. Compare the reflecting powers of the given surfaces for light incident at 45°.

8. Determine the longitudinal aberration of the given mirror.

9. Determine the chemical equivalent of copper, and ascertain the limit of accuracy of your investigation.

10. Make a coil of German silver wire of resistance

1 ohm.

ANCIENT HISTORY.

SECOND PAper.

The Board of Examiners.

Write a careful Essay upon each of the following subjects:

(1) Civis Romanus sum.

(2) The merits and the defects of the Senatorial government of Rome.

(3) The Roman character as contrasted with the Grecian.

(4) The constitution of the Parthian Empire at the time of its first contact with Rome.

(5) "In an extreme democracy the Demos is tyrant, and the demagogues are the tyrant's flatterers."

(6) Federation as a form of political association.

HISTORY OF THE BRITISH EMPIRE.-PART I.

SECOND PAPER.

The Board of Examiners.

Write a careful Essay upon each of the following subjects:

(1) Edgar the Peaceful.

(2) The origin and development of the Military Tenures.

(3) The origin and constitutional value of the English system of Trial by Jury.

(4) The influence of the Church as a factor in national development.

(5) A survey of the reign of the first Lancastrian sovereign.

(6) The attitude of the Judges towards the Crown under the first two Stuart sovereigns.

FUNDAMENTAL LAWS OF EXPRESSION, AND INTERPRETATION OF SPECIFIED WORKS.

SECOND YEAR.

Professor Marshall-Hall.

1. Phrase and mark the accents and cresc. dim., &c., of Beethoven's Op. 68, as far as the double-bar of the first movement.

2. Mention briefly the main points to be brought out in interpreting the "Eroica" Symphony.

3. Phrase and put expression marks to—(a) the first 15 bars of No. VII. of J. S. Bach's 3 part "Inventions"; (b) the subjects and countersubjects of the Fugues in Eb major, Bb minor, G major, C minor of the 1st book of "Das Wohltemperirte Klavier." Also comment on the Preludes in C minor, Bb minor, and E minor.